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:            3/31          

Date of reporting period:          12/31/05         

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)
December 31, 2005

Principal    Optional Call     
Amount (000)  Description  Provisions(1)  Ratings(2)  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-  $ 2,117,740 
500  Marshall County Healthcare Authority, Alabama, Revenue Bonds, Series 2002A, 6.250%, 1/01/22  1/12 at 101.00  A-  548,995 
2,500  Total Alabama      2,666,735 
  Arizona - 1.4%       
965  Phoenix Industrial Development Authority, Arizona, Statewide Single Family Mortgage Revenue Bonds,  4/08 at 101.50  AAA  1,003,600 
  Series 1998C, 6.650%, 10/01/29 (Alternative Minimum Tax)       
750  Winslow Industrial Development Authority, Arizona, Hospital Revenue Bonds, Winslow Memorial Hospital,  No Opt. Call  N/R  756,008 
  Series 1998, 5.750%, 6/01/08       
1,715  Total Arizona      1,759,608 
  Arkansas - 3.0%       
1,000  Fort Smith, Arkansas, Water and Sewer Revenue Refunding and Construction Bonds, Series 2002A, 5.250%,  10/11 at 100.00  AAA  1,075,040 
  10/01/17 - FSA Insured       
1,000  Jonesboro, Arkansas, Industrial Development Revenue Bonds, Anheuser Busch Inc. Project, Series 2002,  No Opt. Call  A+  1,047,220 
  4.600%, 11/15/12       
1,380  North Little Rock, Arkansas, Electric Revenue Refunding Bonds, Series 1992A, 6.500%, 7/01/15 - MBIA Insured  No Opt. Call  AAA  1,624,467 
3,380  Total Arkansas      3,746,727 
  California - 1.7%       
2,115  Vernon, California, Electric System Revenue Bonds, Malburg Generating Station Project, Series 2003C,  4/08 at 100.00  Aaa  2,211,930 
  5.250%, 4/01/17 (Pre-refunded 4/01/08) (3)       
  Colorado - 12.7%       
2,895  Centennial Downs Metropolitan District, Colorado, General Obligation Bonds, Series 1999, 5.000%, 12/01/20 -  12/14 at 100.00  AAA  3,093,481 
  AMBAC Insured       
1,175  Colorado Educational and Cultural Facilities Authority, Charter School Revenue Bonds, Classical Academy,  12/13 at 100.00  AAA  1,198,265 
  Series 2003, 4.500%, 12/01/18 - XLCA Insured       
1,405  Colorado Educational and Cultural Facilities Authority, Charter School Revenue Bonds, Douglas County School  7/12 at 100.00  BBB  1,466,216 
  District RE-1 - DCS Montessori School, Series 2002A, 6.000%, 7/15/22       
485  Colorado Housing Finance Authority, Single Family Program Senior Bonds, Series 2000D-2, 6.900%, 4/01/29  4/10 at 105.00  AA  501,383 
  (Alternative Minimum Tax)       
1,025  Denver Health and Hospitals Authority, Colorado, Healthcare Revenue Bonds, Series 2001A, 6.000%, 12/01/23  12/11 at 100.00  BBB  1,099,405 
1,465  Denver West Metropolitan District, Colorado, General Obligation Refunding and Improvement Bonds,  12/13 at 100.00  AA  1,469,791 
  Series 2003, 4.500%, 12/01/18 - RAAI Insured       
1,340  Eagle Bend Metropolitan District 2, Colorado, General Obligation Bonds, Series 2004, 5.000%, 12/01/20 -  12/14 at 101.00  AA  1,394,176 
  RAAI Insured       
145  El Paso County, Colorado, FNMA Mortgage-Backed Single Family Revenue Refunding Bonds,  No Opt. Call  Aaa  147,722 
  Series 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  74,166 
  6/15/41 - FSA Insured       
5,875  Northwest Parkway Public Highway Authority, Colorado, Senior Lien Revenue Bonds, Series 2001B, 0.000%,  6/11 at 38.04  AAA  1,761,501 
  6/15/27 - AMBAC Insured       
1,000  Summit County, Colorado, Sports Facilities Revenue Refunding Bonds, Keystone Resorts Management,  No Opt. Call  AAA  1,028,320 
  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  Baa1  3,011,290 
19,725  Total Colorado      16,245,716 
  Connecticut - 1.7%       
  Eastern Connecticut Resource Recovery Authority, Solid Waste Revenue Bonds, Wheelabrator Lisbon Project,       
  Series 1993A:       
500  5.500%, 1/01/14 (Alternative Minimum Tax)  1/06 at 100.00  BBB  504,050 
1,570  5.500%, 1/01/15 (Alternative Minimum Tax)  1/15 at 100.00  BBB  1,596,690 
2,070  Total Connecticut      2,100,740 
  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  913,401 
4,105  6.000%, 6/01/07 - MBIA Insured  No Opt. Call  AAA  4,166,575 
5,005  Total District of Columbia      5,079,976 
  Florida - 3.7%       
2,400  Deltona, Florida, Utility Systems Water and Sewer Revenue Bonds, Series 2003, 5.250%, 10/01/17 -  10/13 at 100.00  AAA  2,619,864 
  MBIA Insured       
2,000  Orange County, Florida, Tourist Development Tax Revenue Bonds, Series 2005, 5.000%, 10/01/22 -  10/15 at 100.00  AAA  2,135,920 
  AMBAC Insured       
4,400  Total Florida      4,755,784 
  Illinois - 11.1%       
845  Chicago, Illinois, Tax Increment Allocation Bonds, Irving/Cicero Redevelopment Project, Series 1998, 7.000%,  1/09 at 100.00  N/R  900,179 
  1/01/14       
4,935  Illinois Development Finance Authority, GNMA Collateralized Mortgage Revenue Bonds, Greek American  4/11 at 105.00  Aaa  5,144,639 
  Nursing Home Committee, Series 2000A, 7.600%, 4/20/40       
2,000  Illinois Development Finance Authority, Revenue Refunding Bonds, Olin Corporation, Series 1993D, 6.750%,  4/10 at 102.00  BBB-  2,112,300 
  3/01/16       
2,000  Illinois Educational Facilities Authority, Revenue Bonds, Art Institute of Chicago, Series 2000, 4.450%, 3/01/34  3/34 at 100.00  A1  2,019,100 
  (Mandatory put 3/01/15)       
1,000  Illinois Educational Facilities Authority, Student Housing Revenue Bonds, Educational Advancement Foundation  5/12 at 101.00  Baa3  1,120,080 
  Fund, University Center Project, Series 2002, 6.625%, 5/01/17       
1,210  Illinois Health Facilities Authority, Revenue Bonds, Silver Cross Hospital and Medical Centers, Series 1999,  8/09 at 101.00  A  1,260,905 
  5.500%, 8/15/19       
1,000  Illinois Health Facilities Authority, Revenue Refunding Bonds, Edward Hospital, Series 1993A, 6.000%, 2/15/19  2/06 at 100.00  A+  1,002,990 
585  Illinois Housing Development Authority, Section 8 Elderly Housing Revenue Bonds, Skyline Towers Apartments,  5/06 at 100.00  A-  585,737 
  Series 1992B, 6.625%, 11/01/07       
13,575  Total Illinois      14,145,930 
  Indiana - 0.8%       
1,000  Indianapolis Local Public Improvement Bond Bank, Indiana, Series 1992D, 6.600%, 2/01/07  No Opt. Call  AA  1,034,640 
  Iowa - 2.4%       
1,000  Iowa Finance Authority, Healthcare Revenue Bonds, Genesis Medical Center, Series 2000, 6.250%, 7/01/25  7/10 at 100.00  A1  1,074,610 
1,800  Iowa Tobacco Settlement Authority, Tobacco Settlement Asset-Backed Revenue Bonds, Series 2001B,  6/11 at 101.00  AAA  1,957,266 
  5.300%, 6/01/25 (Pre-refunded 6/01/11) (3)       
2,800  Total Iowa      3,031,876 
  Kansas - 2.9%       
3,500  Wichita, Kansas, Hospital Facilities Revenue Refunding and Improvement Bonds, Via Christi Health System  11/11 at 101.00  A+  3,714,060 
  Inc., Series 2001-III, 5.500%, 11/15/21       
  Kentucky - 1.6%       
2,000  Kentucky Housing Corporation, Housing Revenue Bonds, Series 2005G, 5.000%, 7/01/30 (Alternative  1/15 at 100.60  AAA  2,072,660 
  Minimum Tax)       
  Maryland - 0.9%       
1,100  Maryland Energy Financing Administration, Revenue Bonds, AES Warrior Run Project, Series 1995, 7.400%,  9/07 at 100.00  N/R  1,116,698 
  9/01/19 (Alternative Minimum Tax)       
  Massachusetts - 1.3%       
1,480  Massachusetts Housing Finance Agency, Rental Housing Mortgage Revenue Bonds, Series 2000H, 6.650%,  7/10 at 100.00  AAA  1,598,518 
  7/01/41 - MBIA Insured (Alternative Minimum Tax)       
  Michigan - 2.4%       
1,000  Cornell Township Economic Development Corporation, Michigan, Environmental Improvement Revenue  5/12 at 100.00  AAA  1,127,930 
  Refunding Bonds, MeadWestvaco Corporation-Escanaba Project, Series 2002, 5.875%, 5/01/18 (3)       
  (Pre-refunded 5/01/12)       
785  Michigan State Hospital Finance Authority, Collateralized Loan, Detroit Medical Center, Series 2001, 7.360%,  No Opt. Call  Baa2  789,264 
  3/01/07       
600  Michigan State Hospital Finance Authority, Hospital Revenue Refunding Bonds, Sinai Hospital, Series 1995,  1/06 at 102.00  Ba3  605,628 
  6.625%, 1/01/16       
470  Michigan State Hospital Finance Authority, Revenue Refunding Bonds, Detroit Medical Center, Series 1988A,  8/12 at 100.00  BB-  470,743 
  8.125%, 8/15/12       
2,855  Total Michigan      2,993,565 
  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  1,086,360 
  ACA Insured       
  Nebraska - 0.8%       
1,000  Dodge County School District 1, Nebraska, Fremont Public Schools, General Obligation Bonds, Series 2004,  12/14 at 100.00  Aaa  1,067,280 
  5.000%, 12/15/19 - FSA Insured       
  New York - 8.8%       
1,000  Dormitory Authority of the State of New York, Revenue Bonds, Brooklyn Law School, Series 2003A, 5.500%,  7/13 at 100.00  AA  1,093,690 
  7/01/15 - RAAI Insured       
1,500  New York State Energy Research and Development Authority, Facilities Revenue Bonds, Consolidated Edison  6/36 at 100.00  A1  1,500,525 
  Company Inc., Series 2001A, 4.700%, 6/01/36 (Mandatory put 10/01/12) (Alternative Minimum Tax)       
1,225  New York State Medical Care Facilities Finance Agency, FHA-Insured Mortgage Hospital and Nursing Home  2/06 at 102.00  AA+  1,253,273 
  Revenue Bonds, Series 1995C, 6.100%, 8/15/15       
2,130  Niagara Falls, Niagara County, New York, General Obligation Water Treatment Plant Bonds, Series 1994,  No Opt. Call  AAA   2,304,767 
  8.500%, 11/01/07 - MBIA Insured (Alternative Minimum Tax)       
4,300  Port Authority of New York and New Jersey, Special Project Bonds, JFK International Air Terminal LLC,  No Opt. Call  AAA   5,011,263 
  Sixth Series 1997, 7.000%, 12/01/12 - MBIA Insured (Alternative Minimum Tax)       
10,155  Total New York      11,163,518 
  North Carolina - 1.6%       
1,880  Union County, North Carolina, Certificates of Participation, Series 2003, 5.000%, 6/01/18 - AMBAC Insured  6/13 at 101.00  AAA   2,008,611 
  Ohio - 1.6%       
970  Hamilton County, Ohio, Hospital Facilities Revenue Refunding Bonds, Bethesda Hospital Inc., Series 1992A,  No Opt. Call  A(3)    970,078 
  6.250%, 1/01/06 (3)       
1,000  Toledo-Lucas County Port Authority, Ohio, Port Revenue Bonds, Cargill Inc., Series 2004B, 4.500%, 12/01/15  No Opt. Call  A+   1,023,860 
1,970  Total Ohio      1,993,938 
  Oklahoma - 0.9%       
1,150  Oklahoma State Industries Authority, Health System Revenue Refunding Bonds, Baptist Medical Center,  8/06 at 102.00  AAA   1,183,983 
  Series 1995D, 5.000%, 8/15/14 - AMBAC Insured       
  Pennsylvania - 1.2%       
1,300  Pennsylvania Higher Educational Facilities Authority, College Revenue Bonds, Ninth Series 1976, 7.625%,  No Opt. Call  Aaa   1,511,549 
  7/01/15       
  South Carolina - 5.4%       
  Piedmont Municipal Power Agency, South Carolina, Electric Revenue Bonds, Series 1991:       
1,040  6.750%, 1/01/19 - FGIC Insured  No Opt. Call  AAA   1,327,165 
2,835  6.750%, 1/01/19 - FGIC Insured  No Opt. Call  AAA   3,542,304 
1,260  South Carolina JOBS Economic Development Authority, Hospital Revenue Bonds, Palmetto Health Alliance,  No Opt. Call  Baa2(3)   1,404,371 
  Series 2000A, 7.000%, 12/15/10 (3)       
500  Tobacco Settlement Revenue Management Authority, South Carolina, Tobacco Settlement Asset-Backed Bonds,  5/11 at 101.00  BBB   528,200 
  Series 2001B, 6.000%, 5/15/22       
5,635  Total South Carolina      6,802,040 
  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 (Pre-refunded 9/01/12) (3)  9/12 at 100.00  A-(3)   854,648 
1,250  6.000%, 9/01/17 (Pre-refunded 9/01/12) (3)  9/12 at 100.00  A-(3)   1,424,413 
2,000  Total Tennessee      2,279,061 
  Texas - 5.8%       
1,055  Austin, Texas, General Obligation Bonds, Series 2004, 5.000%, 9/01/20 - MBIA Insured  9/14 at 100.00  AAA   1,117,709 
415  Austin-Travis County Mental Health Center, Texas, Revenue Bonds, Mental Health and Mental Retardation  3/06 at 100.50  AAA   419,133 
  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   2,010,780 
  Series 2004B, 4.250%, 12/01/17 - FGIC Insured       
155  Galveston Property Finance Authority Inc., Texas, Single Family Mortgage Revenue Bonds, Series 1991A,  3/06 at 100.00  A3   155,468 
  8.500%, 9/01/11       
2,500  Matagorda County Navigation District 1, Texas, Pollution Control Revenue Refunding Bonds, Central Power  11/29 at 100.00  BBB   2,518,800 
  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  461,927 
  Health System Project, Series 2001, 5.600%, 5/15/06       
200  Travis County Health Facilities Development Corporation, Texas, Hospital Revenue Bonds, Daughters of  5/06 at 100.00  Aaa  201,430 
  Charity National Health System, Series 1993B, 5.900%, 11/15/07       
455  Tri-County Mental Health and Retardation Center, Texas, Revenue Bonds, Facilities Acquisition Program,  3/06 at 100.50  AAA  459,532 
  Series 1995E, 6.500%, 3/01/15 - FSA Insured       
7,240  Total Texas      7,344,779 
  Utah - 1.7       
2,055  Bountiful, Davis County, Utah, Hospital Revenue Refunding Bonds, South Davis Community Hospital Project,  No Opt. Call  N/R  2,133,707 
  Series 1998, 6.000%, 12/15/10       
  Washington - 9.5%       
  Washington Public Power Supply System, Revenue Refunding Bonds, Nuclear Project 1, Series 1993A:       
1,340  7.000%, 7/01/07  No Opt. Call  Aaa  1,412,816 
160  7.000%, 7/01/07  No Opt. Call  Aaa  168,405 
1,130  7.000%, 7/01/08  No Opt. Call  Aaa  1,229,790 
1,870  7.000%, 7/01/08  No Opt. Call  Aaa  2,027,174 
295  Washington Public Power Supply System, Revenue Refunding Bonds, Nuclear Project 3, Series 1989B,  No Opt. Call  AAA  370,968 
  7.125%, 7/01/16 - MBIA Insured       
7,000  Washington Public Power Supply System, Revenue Refunding Bonds, Nuclear Project 3, Series 1990B,  No Opt. Call  Aaa  6,883,376 
  0.000%, 7/01/06       
11,795  Total Washington      12,092,529 
  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  2,025,500 
  Company, Series 1994C, 6.750%, 8/01/24 - MBIA Insured (Alternative Minimum Tax)       
  Wisconsin - 3.8%       
  Badger Tobacco Asset Securitization Corporation, Wisconsin, Tobacco Settlement Asset-Backed Bonds,       
  Series 2002:       
875  6.125%, 6/01/27  6/12 at 100.00  BBB  924,271 
1,480  6.375%, 6/01/32  6/12 at 100.00  BBB  1,578,376 
1,000  Wisconsin Health and Educational Facilities Authority, Revenue Bonds, Agnesian Healthcare Inc., Series 2001,  7/11 at 100.00  A-  1,070,640 
  6.000%, 7/01/21       
1,150  Wisconsin Health and Educational Facilities Authority, Revenue Bonds, Aurora Health Care Inc., Series 1999A,  2/09 at 101.00  A  1,187,939 
  5.500%, 2/15/20 - ACA Insured       
4,505  Total Wisconsin      4,761,226 
$ 122,905  Total Investments (cost $121,998,492) - 99.1%      125,729,244 
  Other Assets Less Liabilities - 0.9%      1,118,054 
  Net Assets - 100%      $ 126,847,298 

(1 )  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. Certain mortgage-backed securities may be 
  subject to periodic principal paydowns. 
(2 )  Ratings: Using the higher of Standard & Poor’s or Moody’s rating. Ratings below Baa by Moody’s Investor 
  Service, Inc. or BBB by Standard & Poor’s Group are considered to be below investment grade. 
(3 )  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 taxable market discount and timing differences in recognizing certain gains and losses on investment transactions.

At December 31, 2005, the cost of investments was $121,956,140.

Gross unrealized appreciation and gross unrealized depreciation of investments at December 31, 2005, were as follows:

Gross unrealized:   
    Appreciation  $ 4,148,998  
    Depreciation  (375,894 ) 
Net unrealized appreciation (depreciation) of investments  $ 3,773,104  

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                     
                                                    Jessica R. Droeger
                                                    Vice President and Secretary

Date         2/27/06        

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                    
                                                   Gifford R. Zimmerman
                                                   Chief Administrative Officer (principal executive officer) 

Date         2/27/06        

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

Date         2/27/06        

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