Form N-Q

UNITED STATES
SECURITIES AND EXCHANGE COMMISSION
Washington, DC 20549

FORM N-Q


QUARTERLY SCHEDULE OF PORTFOLIO HOLDINGS OF REGISTERED MANAGEMENT INVESTMENT COMPANY

Investment Company Act file number         811-7056         

        Nuveen Select Maturities Municipal Fund         
(Exact name of registrant as specified in charter)


        333 West Wacker Drive, Chicago, Illinois 60606         
(Address of principal executive offices) (Zip code)


Jessica R. Droeger—Vice President and Secretary
        333 West Wacker Drive, Chicago, Illinois 60606         
(Name and address of agent for service)

Registrant's telephone number, including area code:         312-917-7700        

Date of fiscal year end:            03/31          

Date of reporting period:          06/30/05         

Form N-Q is to be used by management investment companies, other than small business investment companies registered on Form N-5 (§§ 239.24 and 274.5 of this chapter), to file reports with the Commission, not later than 60 days after the close of the first and third fiscal quarters, pursuant to rule 30b1-5 under the Investment Company Act of 1940 (17 CFR 270.30b1-5). The Commission may use the information provided on Form N-Q in its regulatory, disclosure review, inspection, and policymaking roles.

A registrant is required to disclose the information specified by Form N-Q, and the Commission will make this information public. A registrant is not required to respond to the collection of information contained in Form N-Q unless the Form displays a currently valid Office of Management and Budget (“OMB”) control number. Please direct comments concerning the accuracy of the information collection burden estimate and any suggestions for reducing the burden to the Secretary, Securities and Exchange Commission, 450 Fifth Street, NW, Washington, DC 20549-0609. The OMB has reviewed this collection of information under the clearance requirements of 44 U.S.C. § 3507.

Item 1. Schedule of Investments

                   Portfolio of Investments (Unaudited)             
 
                   Nuveen Select Maturities Municipal Fund (NIM)             
                   June 30, 2005             
 
 
 
Principal        Optional Call        Market 
Amount (000)    Description    Provisions*    Ratings**    Value 
 
    Alabama - 2.1%             
$ 2,000    Alabama 21st Century Authority, Tobacco Settlement Revenue Bonds, Series 2001, 5.750%, 12/01/17    12/11 at 101.00    A-    $ 2,166,360 
500    Marshall County Healthcare Authority, Alabama, Revenue Bonds, Series 2002A, 6.250%, 1/01/22    1/12 at 101.00    A-    556,335 
 
    Arizona - 2.3%             
1,000    Arizona Educational Loan Marketing Corporation, Educational Loan Revenue Bonds, Series 1992,    No Opt. Call    Aaa    1,005,570 
    6.375%, 9/01/05 (Alternative Minimum Tax)             
1,260    Phoenix Industrial Development Authority, Arizona, Statewide Single Family Mortgage Revenue Bonds,    4/08 at 101.50    AA    1,274,666 
    Series 1998C, 6.650%, 10/01/29 (Alternative Minimum Tax)             
750    Winslow Industrial Development Authority, Arizona, Hospital Revenue Bonds, Winslow Memorial    No Opt. Call    N/R    730,568 
    Hospital, Series 1998, 5.750%, 6/01/08             
 
    Arkansas - 3.0%             
1,000    Fort Smith, Arkansas, Water and Sewer Revenue Refunding and Construction Bonds, Series 2002A,    10/11 at 100.00    AAA    1,101,290 
    5.250%, 10/01/17 - FSA Insured             
1,000    Jonesboro, Arkansas, Industrial Development Revenue Bonds, Anheuser Busch Inc. Project, Series    No Opt. Call    A+    1,070,920 
    2002, 4.600%, 11/15/12             
1,380    North Little Rock, Arkansas, Electric Revenue Refunding Bonds, Series 1992A, 6.500%, 7/01/15 -    No Opt. Call    AAA    1,666,681 
    MBIA Insured             
 
    California - 1.8%             
2,115    Vernon, California, Electric System Revenue Bonds, Malburg Generating Station Project, Series    4/08 at 100.00    Aaa    2,253,871 
    2003C, 5.250%, 4/01/17 (Pre-refunded to 4/01/08)             
 
    Colorado - 12.9%             
2,895    Centennial Downs Metropolitan District, Colorado, General Obligation Bonds, Series 1999, 5.000%,    12/14 at 100.00    AAA    3,154,653 
    12/01/20 - AMBAC Insured             
1,430    Colorado Educational and Cultural Facilities Authority, Charter School Revenue Bonds, Douglas    7/12 at 100.00    BBB    1,450,420 
    County School District RE-1 - DCS Montessori School, Series 2002A, 6.000%, 7/15/22             
1,175    Colorado Educational and Cultural Facilities Authority, Charter School Revenue Bonds, Classical    12/13 at 100.00    AAA    1,213,646 
    Academy, Series 2003, 4.500%, 12/01/18 - XLCA Insured             
590    Colorado Housing Finance Authority, Single Family Program Senior Bonds, Series 2000D-2, 6.900%,    4/10 at 105.00    AA    606,809 
    4/01/29 (Alternative Minimum Tax)             
1,025    Denver Health and Hospitals Authority, Colorado, Healthcare Revenue Bonds, Series 2001A, 6.000%,    12/11 at 100.00    BBB    1,097,765 
    12/01/23             
1,465    Denver West Metropolitan District, Colorado, General Obligation Refunding and Improvement Bonds,    12/13 at 100.00    AA    1,489,612 
    Series 2003, 4.500%, 12/01/18 - RAAI Insured             
1,340    Eagle Bend Metropolitan District 2, Colorado, General Obligation Bonds, Series 2004, 5.000%,    12/14 at 101.00    AA    1,422,691 
    12/01/20 - RAAI Insured             
182    El Paso County, Colorado, FNMA Mortgage-Backed Single Family Revenue Refunding Bonds, Series    No Opt. Call    Aaa    185,567 
    1992A-2, 8.750%, 6/01/11             
70    Northwest Parkway Public Highway Authority, Colorado, Revenue Bonds, Senior Series 2001A, 5.250%,    6/11 at 102.00    AAA    75,211 
    6/15/41 - FSA Insured             
5,875    Northwest Parkway Public Highway Authority, Colorado, Senior Lien Revenue Bonds, Series 2001B,    6/11 at 38.04    AAA    1,768,316 
    0.000%, 6/15/27 - AMBAC Insured             
1,000    Summit County, Colorado, Sports Facilities Revenue Refunding Bonds, Keystone Resorts Management,    No Opt. Call    AAA    1,055,070 
    Inc. Project, Series 1990, 7.750%, 9/01/06             
2,845    University of Colorado Hospital Authority, Revenue Bonds, Series 2001A, 5.600%, 11/15/21    11/11 at 100.00    A3    3,034,790 
 
    Connecticut - 1.6%             
    Eastern Connecticut Resource Recovery Authority, Solid Waste Revenue Bonds, Wheelabrator Lisbon             
    Project, Series 1993A:             
500    5.500%, 1/01/14 (Alternative Minimum Tax)    7/05 at 100.00    BBB    505,900 
1,570    5.500%, 1/01/15 (Alternative Minimum Tax)    No Opt. Call    BBB    1,602,499 
 
    District of Columbia - 4.0%             
    District of Columbia, General Obligation Refunding Bonds, Series 1993A:             
900    6.000%, 6/01/07 - MBIA Insured    No Opt. Call    AAA    929,538 
4,105    6.000%, 6/01/07 - MBIA Insured    No Opt. Call    AAA    4,237,345 
 
    Florida - 2.1%             
2,400    Deltona, Florida, Utility Systems Water and Sewer Revenue Bonds, Series 2003, 5.250%, 10/01/17 -    10/13 at 100.00    AAA    2,673,168 
    MBIA Insured             
 
    Illinois - 11.4%             
895    Chicago, Illinois, Tax Increment Allocation Bonds, Irving/Cicero Redevelopment Project, Series    1/09 at 100.00    N/R    917,661 
    1998, 7.000%, 1/01/14             
2,000    Illinois Development Finance Authority, Revenue Refunding Bonds, Olin Corporation, Series 1993D,    4/10 at 102.00    BBB-    2,121,900 
    6.750%, 3/01/16             
4,950    Illinois Development Finance Authority, GNMA Collateralized Mortgage Revenue Bonds, Greek American    4/11 at 105.00    Aaa    5,284,422 
    Nursing Home Committee, Series 2000A, 7.600%, 4/20/40             
2,000    Illinois Educational Facilities Authority, Revenue Bonds, Art Institute of Chicago, Series 2000,    No Opt. Call    A1    2,037,860 
    4.450%, 3/01/34 (Mandatory put 3/01/15)             
1,000    Illinois Health Facilities Authority, Revenue Refunding Bonds, Edward Hospital, Series 1993A,    8/05 at 101.00    A+    1,012,210 
    6.000%, 2/15/19             
1,210    Illinois Health Facilities Authority, Revenue Bonds, Silver Cross Hospital and Medical Centers,    8/09 at 101.00    A-    1,274,396 
    Series 1999, 5.500%, 8/15/19             
850    Illinois Housing Development Authority, Section 8 Elderly Housing Revenue Bonds, Skyline Towers    11/05 at 100.00    A-    851,428 
    Apartments, Series 1992B, 6.625%, 11/01/07             
1,000    Illinois Educational Facilities Authority, Student Housing Revenue Bonds, Educational Advancement    5/12 at 101.00    Baa2    1,131,280 
    Foundation Fund, University Center Project, Series 2002, 6.625%, 5/01/17             
 
    Indiana - 0.8%             
1,000    Indianapolis Local Public Improvement Bond Bank, Indiana, Series 1992D, 6.600%, 2/01/07    No Opt. Call    AA    1,057,510 
 
    Iowa - 2.3%             
1,000    Iowa Finance Authority, Healthcare Revenue Bonds, Genesis Medical Center, Series 2000, 6.250%,    7/10 at 100.00    A1    1,088,580 
    7/01/25             
1,800    Iowa Tobacco Settlement Authority, Tobacco Settlement Asset-Backed Revenue Bonds, Series 2001B,    6/11 at 101.00    BBB    1,836,450 
    5.300%, 6/01/25             
 
    Kansas - 2.9%             
3,500    Wichita, Kansas, Hospital Facilities Revenue Refunding and Improvement Bonds, Via Christi Health    11/11 at 101.00    A+    3,759,525 
    System Inc., Series 2001-III, 5.500%, 11/15/21             
 
    Maryland - 0.9%             
1,100    Maryland Energy Financing Administration, Revenue Bonds, AES Warrior Run Project, Series 1995,    9/05 at 102.00    N/R    1,123,551 
    7.400%, 9/01/19 (Alternative Minimum Tax)             
 
    Massachusetts - 2.1%             
1,000    Massachusetts Industrial Finance Agency, Resource Recovery Remarketed Revenue Refunding Bonds,    No Opt. Call    BBB    1,005,070 
    Ogden Haverhill Project, Series 1992A, 4.850%, 12/01/05             
1,485    Massachusetts Housing Finance Agency, Rental Housing Mortgage Revenue Bonds, Series 2000H, 6.650%,    7/10 at 100.00    AAA    1,628,139 
    7/01/41 (Alternative Minimum Tax) - MBIA Insured             
 
    Michigan - 2.6%             
1,000    Cornell Township Economic Development Corporation, Michigan, Environmental Improvement Revenue    5/12 at 100.00    AAA    1,157,580 
    Refunding Bonds, MeadWestvaco Corporation-Escanaba Project, Series 2002, 5.875%, 5/01/18             
    (Pre-refunded to 5/01/12)             
1,060    Michigan State Hospital Finance Authority, Collateralized Loan, Detroit Medical Center, Series    No Opt. Call    Baa2    1,067,545 
    2001, 7.360%, 3/01/07             
470    Michigan State Hospital Finance Authority, Revenue Refunding Bonds, Detroit Medical Center, Series    No Opt. Call    BB-    470,724 
    1988A, 8.125%, 8/15/12             
600    Michigan State Hospital Finance Authority, Hospital Revenue Refunding Bonds, Sinai Hospital, Series    1/06 at 102.00    Ba3    606,378 
    1995, 6.625%, 1/01/16             
 
    Minnesota - 0.9%             
1,000    White Earth Band of Chippewa Indians, Minnesota, Revenue Bonds, Series 2000A, 7.000%, 12/01/11 -    No Opt. Call    A    1,107,580 
    ACA Insured             
 
    Nebraska - 0.8%             
1,000    Dodge County School District 1, Nebraska, Fremont Public Schools, General Obligation Bonds, Series    12/14 at 100.00    Aaa    1,090,840 
    2004, 5.000%, 12/15/19 - FSA Insured             
 
    New York - 9.0%             
1,000    Dormitory Authority of the State of New York, Revenue Bonds, Brooklyn Law School, Series 2003A,    7/13 at 100.00    AA    1,120,390 
    5.500%, 7/01/15 - RAAI Insured             
1,500    New York State Energy Research and Development Authority, Facilities Revenue Bonds, Consolidated    10/05 at 100.00    A1    1,503,255 
    Edison Company Inc., Series 2001A, 4.700%, 6/01/36 (Alternative Minimum Tax) (Mandatory put             
    10/01/12)             
1,325    New York State Medical Care Facilities Finance Agency, FHA-Insured Mortgage Hospital and Nursing    2/06 at 102.00    AA+    1,375,562 
    Home Revenue Bonds, Series 1995C, 6.100%, 8/15/15             
2,130    Niagara Falls, Niagara County, New York, General Obligation Water Treatment Plant Bonds, Series    No Opt. Call    AAA    2,378,699 
    1994, 8.500%, 11/01/07 (Alternative Minimum Tax) - MBIA Insured             
4,300    Port Authority of New York and New Jersey, Special Project Bonds, JFK International Air Terminal    No Opt. Call    AAA    5,158,194 
    LLC, Sixth Series 1997, 7.000%, 12/01/12 (Alternative Minimum Tax) - MBIA Insured             
 
    North Carolina - 1.6%             
1,880    Union County, North Carolina, Certificates of Participation, Series 2003, 5.000%, 6/01/18 - AMBAC    6/13 at 101.00    AAA    2,053,016 
    Insured             
 
    Ohio - 1.6%             
970    Hamilton County, Ohio, Hospital Facilities Revenue Refunding Bonds, Bethesda Hospital Inc., Series    No Opt. Call    A***    985,394 
    1992A, 6.250%, 1/01/06             
1,000    Toledo-Lucas County Port Authority, Ohio, Port Revenue Bonds, Cargill Inc., Series 2004B, 4.500%,    No Opt. Call    A+    1,047,190 
    12/01/15             
 
    Oklahoma - 0.9%             
1,150    Oklahoma State Industries Authority, Health System Revenue Refunding Bonds, Baptist Medical Center,    8/06 at 102.00    AAA    1,198,703 
    Series 1995D, 5.000%, 8/15/14 - AMBAC Insured             
 
    Pennsylvania - 2.4%             
1,500    Pennsylvania Economic Development Financing Authority, Resource Recovery Revenue Bonds, Colver    12/05 at 101.00    BBB-    1,564,500 
    Project, Series 1994D, 7.150%, 12/01/18 (Alternative Minimum Tax)             
1,300    Pennsylvania Higher Educational Facilities Authority, College Revenue Bonds, Ninth Series 1976,    No Opt. Call    Aaa    1,545,479 
    7.625%, 7/01/15             
 
    South Carolina - 4.0%             
    Piedmont Municipal Power Agency, South Carolina, Electric Revenue Bonds, Series 1991:             
1,040    6.750%, 1/01/19 - FGIC Insured    No Opt. Call    AAA    1,362,369 
1,460    6.750%, 1/01/19 - FGIC Insured    No Opt. Call    AAA    1,874,874 
1,250    South Carolina JOBS Economic Development Authority, Hospital Revenue Bonds, Palmetto Health    No Opt. Call    Baa2***    1,432,363 
    Alliance, Series 2000A, 7.000%, 12/15/10             
500    Tobacco Settlement Revenue Management Authority, South Carolina, Tobacco Settlement Asset-Backed    5/11 at 101.00    BBB    529,800 
    Bonds, Series 2001B, 6.000%, 5/15/22             
 
    Tennessee - 1.8%             
    Shelby County Health, Educational and Housing Facilities Board, Tennessee, Hospital Revenue Bonds,             
    Methodist Healthcare, Series 2002:             
750    6.000%, 9/01/17    9/12 at 100.00    A-***    881,183 
1,250    6.000%, 9/01/17 (Pre-refunded to 9/01/12)    9/12 at 100.00    A-***    1,459,325 
 
    Texas - 6.5%             
1,055    Austin, Texas, General Obligation Bonds, Series 2004, 5.000%, 9/01/20 - MBIA Insured    9/14 at 100.00    AAA    1,139,885 
415    Austin-Travis County Mental Health Center, Texas, Revenue Bonds, Mental Health and Mental    9/05 at 101.00    AAA    421,569 
    Retardation Center Facilities Acquisition Program, Series 1995A, 6.500%, 3/01/15 - FSA Insured             
2,000    Brazos River Authority, Texas, Collateralized Revenue Refunding Bonds, CenterPoint Energy Inc.,    6/14 at 100.00    AAA    2,046,940 
    Series 2004B, 4.250%, 12/01/17 - FGIC Insured             
180    Galveston Property Finance Authority Inc., Texas, Single Family Mortgage Revenue Bonds, Series    9/05 at 100.00    A3    180,578 
    1991A, 8.500%, 9/01/11             
715    Gulf Coast Mental Health Centers, Texas, Revenue Bonds, Mental Health and Mental Retardation    9/05 at 101.00    AAA    726,318 
    Facilities Acquisition Program, Series 1995C, 6.500%, 3/01/15 - FSA Insured             
2,500    Matagorda County Navigation District 1, Texas, Pollution Control Revenue Refunding Bonds, Central    No Opt. Call    BBB+    2,545,575 
    Power and Light Company, Series 2001A, 4.550%, 11/01/29 (Mandatory put 11/01/06)             
460    Tom Green County Health Facilities Development Corporation, Texas, Hospital Revenue Bonds, Shannon    No Opt. Call    Baa3    466,164 
    Health System Project, Series 2001, 5.600%, 5/15/06             
300    Travis County Health Facilities Development Corporation, Texas, Hospital Revenue Bonds, Daughters    11/05 at 100.00    Aaa    300,813 
    of Charity National Health System, Series 1993B, 5.900%, 11/15/07             
455    Tri-County Mental Health and Retardation Center, Texas, Revenue Bonds, Facilities Acquisition    9/05 at 101.00    AAA    462,203 
    Program, Series 1995E, 6.500%, 3/01/15 - FSA Insured             
 
    Utah - 1.7%             
2,055    Bountiful, Davis County, Utah, Hospital Revenue Refunding Bonds, South Davis Community Hospital    No Opt. Call    N/R    2,132,700 
    Project, Series 1998, 6.000%, 12/15/10             
 
    Washington - 9.5%             
    Washington Public Power Supply System, Revenue Refunding Bonds, Nuclear Project 1, Series 1993A:             
160    7.000%, 7/01/07    No Opt. Call    Aaa    172,691 
1,340    7.000%, 7/01/07    No Opt. Call    Aaa    1,451,461 
1,130    7.000%, 7/01/08    No Opt. Call    Aaa    1,263,521 
1,870    7.000%, 7/01/08    No Opt. Call    Aaa    2,081,834 
7,000    Washington Public Power Supply System, Revenue Refunding Bonds, Nuclear Project 3, Series 1990B,    No Opt. Call    Aaa    6,807,500 
    0.000%, 7/01/06             
295    Washington Public Power Supply System, Revenue Refunding Bonds, Nuclear Project 3, Series 1989B,    No Opt. Call    AAA    383,155 
    7.125%, 7/01/16 - MBIA Insured             
 
    West Virginia - 1.6%             
2,000    Harrison County Commission, West Virginia, Solid Waste Disposal Revenue Bonds, West Penn Power    8/06 at 100.00    AAA    2,046,280 
    Company, Series 1994C, 6.750%, 8/01/24 (Alternative Minimum Tax) - MBIA Insured             
 
    Wisconsin - 3.7%             
    Badger Tobacco Asset Securitization Corporation, Wisconsin, Tobacco Settlement Asset-Backed Bonds,             
    Series 2002:             
885    6.125%, 6/01/27    6/12 at 100.00    BBB    939,932 
1,480    6.375%, 6/01/32    6/12 at 100.00    BBB    1,594,596 
1,000    Wisconsin Health and Educational Facilities Authority, Revenue Bonds, Agnesian Healthcare Inc.,    7/11 at 100.00    A-    1,082,510 
    Series 2001, 6.000%, 7/01/21             
1,150    Wisconsin Health and Educational Facilities Authority, Revenue Bonds, Aurora Health Care Inc.,    2/09 at 101.00    A    1,196,494 
    Series 1999A, 5.500%, 2/15/20 - ACA Insured             

$ 123,042        Total Long-Term Investments (cost $121,536,036) - 98.8%    126,872,905 
 
        Other Assets Less Liabilities - 1.2%    1,555,061 
 
        Net Assets - 100%    $128,427,966 
 
 
 
    *    Optional Call Provisions: Dates (month and year) and prices of the earliest optional call or redemption. There     
        may be other call provisions at varying prices at later dates.     
    **    Ratings: Using the higher of Standard & Poor's or Moody's rating.     
    ***    Securities are backed by an escrow or trust containing sufficient U.S. Government or U.S. Government agency     
        securities which ensures the timely payment of principal and interest. Such securities are normally considered     
        to be equivalent to AAA rated securities.     
    N/R    Investment is not rated.     
 
        Income Tax Information     
        The following information is presented on an income tax basis. Differences between amounts for financial statement     
        and federal income tax purposes are primarily due to timing differences in recognizing income on taxable market     
        discount securities and timing differences in recognizing certain gains and losses on investment transactions.     
 
        At June 30, 2005, the cost of investments was $121,436,391.     
 
        Gross unrealized appreciation and gross unrealized depreciation of investments at June 30, 2005, were as     
        follows:     
 
        Gross unrealized:     
           Appreciation    $5,620,944 
           Depreciation    (184,430) 
 
        Net unrealized appreciation of investments    $5,436,514 

Item 2. Controls and Procedures.

  1. The registrant's principal executive and principal financial officers, or persons performing similar functions, have concluded that the registrant's disclosure controls and procedures (as defined in Rule 30a-3(c) under the Investment Company Act of 1940, as amended (the "1940 Act") (17 CFR 270.30a-3(c))) are effective, as of a date within 90 days of the filing date of this report that includes the disclosure required by this paragraph, based on their evaluation of the controls and procedures required by Rule 30a-3(b) under the 1940 Act (17 CFR 270.30a-3(b)) and Rule 13a-15(b) or 15d-15(b) under the Securities Exchange Act of 1934 (17 CFR 240.13a-15(b) or 240.15d-15(b)).
  2. There were no changes in the registrant's internal control over financial reporting (as defined in Rule 30a-3(d) under the 1940 Act (17 CFR 270.30a-3(d)) that occurred during the registrant's last fiscal quarter that have materially affected, or are reasonably likely to materially affect, the registrant's internal control over financial reporting.

Item 3. Exhibits.

File as exhibits as part of this Form a separate certification for each principal executive officer and principal financial officer of the registrant as required by Rule 30a-2(a) under the 1940 Act (17 CFR 270.30a-2(a)), exactly as set forth below: EX-99 CERT Attached hereto.


SIGNATURES

Pursuant to the requirements of the Securities Exchange Act of 1934 and the Investment Company Act of 1940, the registrant has duly caused this report to be signed on its behalf by the undersigned, thereunto duly authorized.

(Registrant)         Nuveen Select Maturities Municipal Fund        

By (Signature and Title)*          /s/ Jessica R. Droeger--Vice President and Secretary        

Date         08/26/05        

Pursuant to the requirements of the Securities Exchange Act of 1934 and the Investment Company Act of 1940, this report has been signed below by the following persons on behalf of the registrant and in the capacities and on the dates indicated.

By (Signature and Title)*         /s/ Gifford R. Zimmerman--Chief Administrative Officer (principal executive officer)        

Date         08/26/05        

By (Signature and Title)*         /s/ Stephen D. Foy--Vice President and Controller (principal financial officer)        

Date         08/26/05        

* Print the name and title of each signing officer under his or her signature.