Annual/Semi-Annual Report by Investment Company (SEC Filing - N-CSR)

Nuveen Municipal Closed-End Fund

NIM Nuveen Select Maturities Municipal Fund

As permitted by regulations adopted by the Securities and Exchange Commission, paper copies of the Fund's annual and semi-annual shareholder reports will not be sent to you by mail unless you specifically request paper copies of the reports. Instead, the reports will be made available on the Fund's website (www.nuveen.com), and you will be notified by mail each time a report is posted and provided with a website link to access the report.

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Chair's Letter
to Shareholders

Dear Shareholders,

More than a year has passed since the World Health Organization declared COVID-19 a global pandemic in March 2020: a year of global economic recession, financial market turbulence and some immeasurable losses. A year later the health crisis persists but the widespread distribution of vaccines in the U.S. is enabling us to look forward to what our 'new normal' might be. In the meantime, extraordinary economic interventions by governments and central banks around the world are helping to bridge the gap.

With vaccine progress and economic stimulus beginning to provide real benefits to the global economy, markets are anticipating a strong rebound in growth, especially in the U.S. To extend relief programs enacted earlier in the crisis, the U.S. government passed $900 billion in aid to individuals and businesses in late December 2020. Another $1.9 trillion relief package was signed into law in March 2021 providing extended unemployment benefits, direct payments to individuals and families, assistance to state and local municipalities, grants to education and public health, and other support. Additional stimulus proposals are set to be discussed in Congress. The U.S. Federal Reserve, along with other central banks around the world, has pledged to keep monetary conditions accommodative for as long as necessary, as they consider the recent increase in inflation risks as transitory.

While the markets' longer-term outlook has brightened, we expect intermittent bouts of volatility to continue. COVID-19 cases are still elevated in some regions, as more virulent strains have spread and vaccination rollouts have been uneven around the world. The recovery hinges on controlling the virus, and estimates vary considerably on when economic activity might be fully restored. Achieving sufficient inoculation of the population depends on many variables, including logistics, public confidence, real-world efficacy and the emergence of variant virus strains, as well as whether young children can safely and effectively be vaccinated. In the U.S., the recent slowdown in vaccine demand is prompting a shift from mass distribution to outreach. On the political front, the Biden administration's full policy agenda and the potential for Congressional gridlock remain to be seen, either of which could cause investment outlooks to shift. Short-term market fluctuations can provide your Fund opportunities to invest in new ideas as well as upgrade existing positioning while providing long-term value for shareholders. For more than 120 years, the careful consideration of risk and reward has guided Nuveen's focus on delivering long-term results to our shareholders.

If you have concerns about what's coming next, it can be an opportune time to assess your portfolio. We encourage you to review your time horizon, risk tolerance and investment goals with your financial professional. On behalf of the other members of the Nuveen Fund Board, we look forward to continuing to earn your trust in the months and years ahead.

Sincerely,

Terence J. Toth
Chair of the Board
May 24, 2021

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Portfolio Manager's Comments

Nuveen Select Maturities Municipal Fund (NIM)

This Fund features portfolio management by Nuveen Asset Management, LLC (NAM), an affiliate of Nuveen Fund Advisors, LLC, the Fund's investment adviser. Portfolio manager Paul L. Brennan, CFA, reviews U.S. economic and market conditions, key investment strategies and the twelve-month performance of the Nuveen Select Maturities Municipal Fund (NIM). Paul has managed NIM since 2006.

What factors affected the U.S. economy and the national municipal market during the twelve-month reporting period ended March 31, 2021?

The U.S. economy rebounded more quickly than expected from the deep downturn caused by the COVID-19 crisis and containment measures, but gross domestic product (GDP) shrank 3.5% in 2020 overall compared to 2019's annual level. After falling into a deep recession in February 2020 due to the restrictions on business and social activity to mitigate the COVID-19 spread, the economy bounced back with the help of government stimulus aiding individuals and businesses, accommodative monetary policy that kept borrowing costs low, gradual reopening of businesses and vaccine rollouts. U.S. GDP growth picked up pace in the first quarter of 2021, growing at an annualized rate of 6.4% according to the Bureau of Economic Analysis 'advance' estimate, an increase from 4.3% (annualized) in the fourth quarter of 2020. GDP measures the value of goods and services produced by the nation's economy less the value of the goods and services used up in production, adjusted for price changes.

Although, consumer spending, the largest driver of the economy, remained resilient despite the disruption caused by the health and economic crisis, it declined significantly as unemployment rose sharply starting in March 2020. These measures rebounded markedly in the second half of 2020, although the momentum slowed toward the end of 2020 amid a resurgence of COVID-19 infections. As of March 2021, slightly more than half of the 22 million jobs lost in March and April 2020 have been recovered resulting in an unemployment rate of 6.0% in March 2021 as reported by the Bureau of Labor Statistics, up from 4.4% in March 2020. The average hourly earnings rate increased, growing at an annualized rate of 4.2% in March 2021, despite the spike in unemployment. Earnings data was skewed by the concentration of job losses in lower-wage work, which effectively eliminated most of the low-wage data, resulting in an average of mostly higher numbers. The overall trend of inflation accelerated, largely due to rising energy prices and the improving economy. The higher annual inflation rate in March 2021 is also the result of the comparison from a year ago, when consumer prices fell sharply as the first lockdowns were imposed in March 2020. The Bureau of Labor Statistics said the Consumer Price Index (CPI) increased 2.6% over the twelve-month reporting period ended March 31, 2021, before seasonal adjustment.

This material is not intended to be a recommendation or investment advice, does not constitute a solicitation to buy, sell or hold a security or an investment strategy and is not provided in a fiduciary capacity. The information provided does not take into account the specific objectives or circumstances of any particular investor, or suggest any specific course of action. Investment decisions should be made based on an investor's objectives and circumstances and in consultation with his or her advisors.

Certain statements in this report are forward-looking statements. Discussions of specific investments are for illustration only and are not intended as recommendations of individual investments. The forward-looking statements and other views expressed herein are those of the portfolio manager as of the date of this report. Actual future results or occurrences may differ significantly from those anticipated in any forward-looking statements, and the views expressed herein are subject to change at any time, due to numerous market and other factors. The Fund disclaims any obligation to update publicly or revise any forward-looking statements or views expressed herein.

For financial reporting purposes, the ratings disclosed are the highest rating given by one of the following national rating agencies: Standard & Poor's Group (S&P), Moody's Investors Service, Inc. (Moody's) or Fitch, Inc. (Fitch). This treatment of split-rated securities may differ from that used for other purposes, such as for Fund investment policies. Credit ratings are subject to change. AAA, AA, A and BBB are investment grade ratings, while BB, B, CCC, CC, C and D are below investment grade ratings. Holdings designated N/R are not rated by these national rating agencies.

Bond insurance guarantees only the payment of principal and interest on the bond when due, and not the value of the bonds themselves, which will fluctuate with the bond market and the financial success of the issuer and the insurer. Insurance relates specifically to the bonds in the portfolio and not to the share prices of a Fund. No representation is made as to the insurers' ability to meet their commitments.

Refer to the Glossary of Terms Used in this Report for further definition of the terms used within this section.

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Portfolio Manager's Comments (continued)

With the onset of the COVID-19 crisis, the Federal Reserve (Fed) enacted an array of emergency measures in March 2020 to stabilize the financial system and support the markets, including cutting its main interest rate to near zero, offering lending programs to aid small and large companies and allowing unlimited bond purchases, known as quantitative easing. In August 2020, the Fed announced a change in its inflation targeting policy, moving from a program of absolute targeting to an average inflation targeting policy. Under this regime, the Fed will tolerate the inflation rate temporarily overshooting the target rate to offset periods of below-target inflation, so that inflation averages a 2% target rate over time. Fed officials remained cautious, acknowledging the economy's significant improvement from the COVID-19 crisis recession but also expressing concerns about near-term weakness, and left monetary policy unchanged over the remainder of their meetings in 2020 and early 2021.

The federal government also intervened with historic relief measures, starting with three aid packages in March and April 2020. These included $2 trillion allocated across direct payments to individuals, an expansion of unemployment insurance, loans to large and small businesses, funding to hospitals and health agencies and support to state and local governments, and more than $100 billion in funding to employers offering paid leave. In December 2020, the government enacted a $900 billion relief package extending some of these programs, and followed in March 2021 with another $1.9 trillion deal providing support to individuals and families, small businesses, state and local governments, education and public health/vaccination. The Biden administration has proposed another $2 trillion stimulus plan focused on infrastructure and jobs. However, the plan is expected to face legislative hurdles.

The COVID-19 crisis rapidly dwarfed all other market concerns starting in late February 2020. Equity and commodity markets sold off and safe-haven assets rallied in March 2020 as countries initiated quarantines, restricted travel and shuttered factories and businesses. The potential economic shock was particularly difficult to assess at the time, which amplified market volatility. An ill-timed oil price war between the Organization of the Petroleum Exporting Countries (OPEC) and non-OPEC member Russia, which caused oil prices to plunge in March 2020, exacerbated the market sell-off. At year end, the announcement of high efficacy rates in several COVID-19 vaccine trials, followed by regulatory authorizations and public vaccination drives across Western countries, improved the outlook for 2021 and led to risk-on sentiment in the markets. However, market volatility picked up in early 2021, as a stronger economic outlook and improving vaccination rates led to rising inflation concerns and an increase in long-term interest rates.

Geopolitical uncertainty remained elevated during 2020 in anticipation of the U.S. presidential election in November 2020 and the Brexit transition period set to expire in December 2020. However, political risks began to ease with the election of President Joe Biden and a final deal struck between the European Union and U.K. before the end of the transition period. Although China and the U.S. signed a 'phase one' trade deal in January 2020, tensions continued to flare over other trade and technology/security issues, Hong Kong's sovereignty and the management of the COVID-19 crisis.

The municipal bond market's positive performance over the twelve-month reporting period reflects its recovery from the COVID-19 crisis sell-off in March 2020. For most of the reporting period, a significant decline in interest rates drove municipal bond prices higher, with positive technical and fundamental conditions also supporting credit spread tightening. However, early in the reporting period, the market was beginning to stabilize after coronavirus risks drove U.S. Treasury yields to historic lows and rate volatility increased sharply, especially from late February to the end of March 2020. In that six-week period, as liquidity became stressed, investors began to liquidate any asset possible, including municipal bonds. Municipal bond prices declined rapidly (and yields spiked higher), amid rampant selling across both the high grade and high yield segments that was exacerbated in some cases by exchange-traded fund and closed-end fund selling. Municipal bond prices became severely dislocated from Treasury prices. Credit spreads widened significantly during the March 2020 sell-off, ending the month above their long-term average. Ongoing monetary and fiscal interventions from the Fed and U.S. government helped the market stabilize, then recover over the course of 2020 and early 2021.

The municipal yield curve steepened over this reporting period, initially driven by a pronounced drop in yields at the short end of the curve. Then a new steepening cycle began in early 2021 as markets priced in a stronger economic recovery and higher inflation, fueled by increasing vaccination rates and more federal stimulus, which drove longer-term interest rates higher.

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Municipal bond gross issuance nationwide remained strong in the reporting period, with deals postponed rather than canceled during the COVID-19 crisis driven sell-off. The overall low level of interest rates has encouraged issuers to continue to actively refund their outstanding debt. In these transactions the issuers are issuing new bonds and taking the bond proceeds and redeeming (calling) old bonds. These refunding transactions have ranged from 30% to 60% of total issuance over the past few years. Thus, the net issuance (all bonds issued less bonds redeemed) is actually much lower than the gross issuance. This lower net issuance was an overall positive technical factor on municipal bond investment performance in recent years. Notably, taxable municipal bond issuance has increased meaningfully since the advent of the Tax Cut and Jobs Act of 2017, which prohibits municipal issuers from issuing new tax-exempt bonds to pre-refund existing tax-exempt bonds. However, municipalities have taken advantage of the low interest rate environment and the strong demand for yield to issue taxable municipal debt, enabling them to save on net interest costs while adding to the scarcity value of tax-exempt issues.

While municipal bond funds suffered significant outflows in March 2020, particularly from high yield municipal bond funds, fund flows rebounded strongly over the remainder of 2020 and sustained a robust pace through early 2021. Demand has been resilient even though municipal defaults, as expected, have increased somewhat during the COVID-19 crisis. However, default activity has occurred mainly in sectors with greater COVID-19 risk exposure, such as senior living, corporate-backed and real estate-backed. Moreover, while there are some pockets of municipal credit ratings stress, a wave of downgrades has not materialized. With interest rates in the U.S. and globally still near all-time lows, even after the recent increase in long-term rates, the appetite for yield has continued to drive investors toward higher after-tax yielding assets, including U.S. municipal bonds. Additionally, as tax payers have adjusted to the 2017 tax law, which caps the state and local tax (SALT) deduction for individuals, there has been increased demand for tax-exempt municipal bonds, especially in states with high income taxes and/or property taxes.

What key strategies were used to manage NIM during the twelve-month reporting period ended March 31, 2021?

The Fund's primary investment objective is current income exempt from regular federal income tax, consistent with the preservation of capital. Its secondary objective is the enhancement of portfolio value. The Fund invests in municipal securities that are exempt from federal income taxes. The Fund invests in municipal securities of varying maturities targeting an overall intermediate duration profile. The Fund may use inverse floating rate securities (or tender option bond financing) to more efficiently implement its investment strategy to create up to 10% effective leverage.

The twelve-month reporting period was bookended by challenging conditions in the municipal bond market, with the advent of the COVID-19 crisis just prior to the start of the reporting period and a sudden increase in long-term interest rates late in the period. The health and economic crisis and the anticipated recovery from the COVID-19 crisis recession contributed to elevated interest rate volatility and considerable swings in municipal market valuations during this reporting period. Municipal yields ended the reporting period lower than where they began and credit spreads largely recovered from the dramatic widening seen at the peak of the market sell-off in March-April 2020. The municipal yield curve steepened over the reporting period as a whole, with the market pricing in the prospects for a strengthening economic recovery aided by massive fiscal stimulus, accommodative monetary policy and vaccination progress.

The Fund's trading activity, which was largely driven by the reinvestment of call and maturity proceeds and some small strategic and tactical selling, continued to focus on pursuing its investment objectives. Because NIM is an intermediate maturity fund, it typically has a greater number of bonds maturing or being called than funds with longer average maturity targets. We should also note that, as a closed end fund, the Fund does not need to sell positions to meet investor redemptions. In this reporting period, the Fund was approaching the lower end of its mandated maturity range, in part due to some long maturity bonds being redeemed or advance refunded, which caused the Fund's average maturity to passively shorten. The average maturity of new purchases was 10 years, while the bonds sold had maturities of 3.5 years on average. New purchases were tilted toward higher credit quality, where supply was more prevalent and relative valuations were more attractive. The Fund added significantly to housing (including issues for

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Portfolio Manager's Comments (continued)

Nebraska, Alaska, Michigan, Georgia, Wisconsin and Pennsylvania) and a mix of other sectors, such as MTA (Metropolitan Transportation Authority) in New York, Kaiser Permanente (California), LG&E Energy (Kentucky), Yale University (Connecticut) and Brightline (Florida).

How did NIM perform during the twelve-month reporting period ended March 31, 2021?

The table in NIM's Performance Overview and Holding Summaries section of this report provides total returns at net asset value (NAV) for the period ended March 31, 2021. The Fund's total returns at NAV are compared with the performance of its corresponding market index.

For the twelve months ended March 31, 2021, the total returns on common share NAV for NIM outperformed the return for the S&P Municipal Bond Intermediate Index.

The Fund's relative outperformance was mainly driven by favorable credit quality and sector positioning. Bonds lower down the credit spectrum outperformed, with credit spreads largely recovering on the back of federal stimulus, economic reopening, COVID-19 vaccine progress and upgraded economic forecasts. The Fund's significant overweight allocations to A and BBB rated bonds were the largest contributors to relative performance. The top performing sectors were industrial development revenue (IDR), tobacco, transportation and health care. The Fund's overweight allocations to all of these sectors was beneficial. Among the market's weakest performing sectors, the Fund was overweight pre-refunded and housing bonds and underweight tax supported and utility bonds.

Individual credit selection moderately contributed to relative performance. Among the top contributors to performance were utility holdings such as Energy Harbor common stock, bank-backed pre-paid gas bonds and Puerto Rico Aqueduct and Sewer (known as PRASA). The Fund owns Energy Harbor common stock after certain bonds held by the Fund were converted to equity as part of the company's bankruptcy exit. Tax supported names were also among the most beneficial, including Illinois and Chicago debt, New Jersey debt and Puerto Rico sales tax revenue bonds known as COFINAs, along with credits tied to more virus-sensitive activities such as American Dream megamall and Arizona State Tourism and Sports Authority. Several transportation holdings added value, including MTA, Brightline, LaGuardia Gateway Partners and LAX LINXS, as well as toll roads for the Central Texas Turnpike, Ohio Turnpike, Pennsylvania Turnpike and E-470 in Colorado. Housing credits, primarily state single-family housing mortgage revenue bonds with longer maturities, were also among the largest positive contributors.

Somewhat offsetting these relative outperformers were selections in weaker performing IDR bonds, mostly in investor-owned utilities whose focus on fossil fuels looks uncertain amid expectations for 'greener' policy initiatives in Washington D.C., as well as a position in NRG, which suffered ripple effects from the Texas power crisis in February 2021. Certain tobacco settlement bonds, such as Buckeye (Ohio), New Jersey and Illinois, performed well on an absolute basis, but trailed the performance of other tobacco bonds not held in the Fund that strongly outperformed due to refinancing activity and idiosyncratic reasons. Several health care holdings were underperformers as they remained under pressure from concerns pre-dating the COVID-19 crisis, namely Tower Health in Pennsylvania, Lake Charles Memorial Hospital in Louisiana and Lawrence General Hospital in Massachusetts. Holdings in pre-refunded bonds lagged due to their higher credit quality and short maturities.

The Fund's duration positioning (which remained neutral relative to the benchmark) and yield curve positioning were not a meaningful performance factor in this reporting period.

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Common Share Information

COMMON SHARE DISTRIBUTION INFORMATION

The following information regarding the Fund's distributions is current as of March 31, 2021. The Fund's distribution levels may vary over time based on its investment activity and portfolio investment value changes.

During the current reporting period, the Fund's distributions to common shareholders were as shown in the accompanying table.

The Fund seeks to pay regular monthly dividends out of its net investment income at a rate that reflects its past and projected net income performance. To permit the Fund to maintain a more stable monthly dividend, the Fund may pay dividends at a rate that may be more or less than the amount of net income actually earned by the Fund during the period. Distributions to shareholders are determined on a tax basis, which may differ from amounts recorded in the accounting records. In instances where the monthly dividend exceeds the earned net investment income, the Fund would report a negative undistributed net ordinary income. Refer to Note 6 - Income Tax Information for additional information regarding the amounts of undistributed net ordinary income and undistributed net long-term capital gains and the character of the actual distributions paid by the Fund during the period.

All monthly dividends paid by the Fund during the current reporting period were paid from net investment income. If a portion of the Fund's monthly distributions is sourced or comprised of elements other than net investment income, including capital gains and/or a return of capital, shareholders will be notified of those sources. For financial reporting purposes, the per share amounts of the Fund's distributions for the reporting period are presented in this report's Financial Highlights. For income tax purposes,

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distribution information for the Fund as of its most recent tax year end is presented in Note 6 - Income Tax Information within the Notes to Financial Statements of this report.

NUVEEN CLOSED-END FUND DISTRIBUTION AMOUNTS

The Nuveen Closed-End Funds' monthly and quarterly periodic distributions to shareholders are posted on www.nuveen.com and can be found on Nuveen's enhanced closed-end fund resource page, which is at https://www.nuveen.com/resource-center-closed-end-funds, along with other Nuveen closed-end fund product updates. To ensure timely access to the latest information, shareholders may use a subscribe function, which can be activated at this web page (https://www.nuveen.com/subscriptions).

COMMON SHARE REPURCHASES

During August 2020, the Fund's Board of Trustees reauthorized an open-market share repurchase program, allowing the Fund to repurchase an aggregate of up to approximately 10% of its outstanding shares.

As of March 31, 2021, and since the inception of the Fund's repurchase program, the Fund has cumulatively repurchased and retired its outstanding common shares as shown in the accompanying table.

During the current reporting period, the Fund did not repurchase any of its outstanding common shares.

OTHER COMMON SHARE INFORMATION

As of March 31, 2021, the Fund's common share price was trading at a premium/(discount) to its common share NAV, and trading at an average premium/(discount) to NAV during the current reporting period, as follows:

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Past performance is not predictive of future results. Current performance may be higher or lower than the data shown. Returns do not reflect the deduction of taxes that shareholders may have to pay on Fund distributions or upon the sale of Fund shares. Returns at NAV are net of Fund expenses, and assume reinvestment of distributions. Comparative index return information is provided for the Fund's shares at NAV only. Indexes are not available for direct investment.

Common Share Price Performance - Weekly Closing Price

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This data relates to the securities held in the Fund's portfolio of investments as of the end of the reporting period. It should not be construed as a measure of performance for the Fund itself. Holdings are subject to change.

For financial reporting purposes, the ratings disclosed are the highest rating given by one of the following national rating agencies: Standard & Poor's Group, Moody's Investors Service, Inc. or Fitch, Inc. This treatment of split-rated securities may differ from that used for other purposes, such as for Fund investment policies. Credit ratings are subject to change. AAA, AA, A and BBB are investment grade ratings; BB, B, CCC, CC, C and D are below-investment grade ratings. Holdings designated N/R are not rated by these national rating agencies.

¹ See Portfolio of Investments for details on 'other' States and Territories.

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Report of Independent Registered Public Accounting Firm

To the Shareholders and Board of Trustees
Nuveen Select Maturities Municipal Fund:

Opinion on the Financial Statements

We have audited the accompanying statement of assets and liabilities of Nuveen Select Maturities Municipal Fund (the Fund), including the portfolio of investments, as of March 31, 2021, the related statement of operations for the year then ended, the statements of changes in net assets for each of the years in the two-year period then ended, and the related notes (collectively, the financial statements) and the financial highlights for each of the years in the five-year period then ended. In our opinion, the financial statements and financial highlights present fairly, in all material respects, the financial position of the Fund as of March 31, 2021, the results of its operations for the year then ended, the changes in its net assets for each of the years in the two-year period then ended, and the financial highlights for each of the years in the five-year period then ended, in conformity with U.S. generally accepted accounting principles.

Basis for Opinion

These financial statements and financial highlights are the responsibility of the Fund's management. Our responsibility is to express an opinion on these financial statements and financial highlights based on our audits. We are a public accounting firm registered with the Public Company Accounting Oversight Board (United States) (PCAOB) and are required to be independent with respect to the Company in accordance with the U.S. federal securities laws and the applicable rules and regulations of the Securities and Exchange Commission and the PCAOB.

We conducted our audits in accordance with the standards of the PCAOB. Those standards require that we plan and perform the audit to obtain reasonable assurance about whether the financial statements and financial highlights are free of material misstatement, whether due to error or fraud. Our audits included performing procedures to assess the risks of material misstatement of the financial statements and financial highlights, whether due to error or fraud, and performing procedures that respond to those risks. Such procedures included examining, on a test basis, evidence regarding the amounts and disclosures in the financial statements and financial highlights. Such procedures also included confirmation of securities owned as of March 31, 2021, by correspondence with custodians and brokers or other appropriate auditing procedures. Our audits also included evaluating the accounting principles used and significant estimates made by management, as well as evaluating the overall presentation of the financial statements and financial highlights. We believe that our audits provide a reasonable basis for our opinion.

/s/ KPMG LLP

We have served as the auditor of one or more Nuveen investment companies since 2014.

Chicago, Illinois

May 27, 2021

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