SELIGMAN SELECT MUNICIPAL FUND INC
N-30B-2, 1996-05-17
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                                  SELIGMAN
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                                     SELECT
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                                   MUNICIPAL
                                   FUND, INC.



                                    [PHOTO]



                                     [LOGO]

                              FIRST QUARTER REPORT
                                 MARCH 31, 1996



                      Seligman Select Municipal Fund, Inc.
                                   Managed by

                                     [LOGO]

                             J. & W. SELIGMAN & CO.
                                  INCORPORATED
                        INVESTMENT MANAGERS AND ADVISORS
                                ESTABLISHED 1864
                      100 PARK AVENUE, NEW YORK, NY 10017


                     Photo: Courtesy Michigan Travel Bureau

                                                                   CESEL3a 3/96
<PAGE>


================================================================================
TO THE STOCKHOLDERS

We are pleased to provide you with Seligman Select Municipal Fund's First
Quarter Report.

     During each of the past three months, your Fund paid Common Stockholders
federally tax-free monthly dividends of $0.07 per share, for a total of $0.21.
The annualized distribution rate based on current market price was 6.72% at
March 31, which is equivalent to a taxable yield of 11.13% based on the maximum
federal tax rate of 39.6%. Preferred Stockholders were paid dividends at annual
rates ranging from 3.43% to 4.05%. Earnings on your Fund's assets in excess of
the preferred dividend requirements constituted dividend income for Common
Stockholders. For performance information, please refer to the table on page 4.

     The Federal Reserve Board began lowering the federal funds rate -- the
interest rate charged for interbank loans -- in July 1995 in response to a
slowdown in the rate of economic growth and a stable rate of inflation. This
less restrictive monetary policy encouraged the continuation of the decline in
long-term interest rates through 1995 and into 1996. During the middle of the
first quarter of 1996, however, the economy began to exhibit signs of strength.
Up to this point, the municipal bond market was rallying in anticipation of an
additional Fed easing of short-term interest rates. The realization that a
continued lowering of the federal funds rate was no longer imminent caused
long-term interest rates to spike sharply.

     Overall, municipal market psychology has been improving since the end of
1995. Tax reform legislation appears to have faded as an issue in the
presidential race, thereby easing the concerns that overshadowed the municipal
market in 1995. This, together with the higher yields available, has stimulated
demand. While new issue supply has slowed recently due to market conditions,
total first-quarter volume was 35% higher compared to last year's first quarter.

     In your Fund, your Manager views the current interest rate environment as
an opportunity to purchase long-term municipal bonds at levels not seen since
September 1995. While we believe that the increase in municipal yields is
temporary, the market may remain unsettled until participants are convinced that
the economy is not re-accelerating. Therefore, new purchases have been
concentrated in current coupon bonds, which are generally less volatile than
discount or zero coupon bonds during periods of uncertainty.

     Going forward, we believe the most likely outcome for 1996 is continued
moderate economic growth. However, in the event that the economy exceeds its
non-inflationary potential, we are confident that the Fed will act swiftly to
prevent the economy from growing at an unsustainable rate.

     Seligman Select Municipal Fund's Sixth Annual Meeting of Stockholders will
be held on May 16, 1996, at 9:00 am in the Twin Peaks Conference Room of the
Sheraton Palace Hotel, 2 New Montgomery Street, San Francisco, CA. We encourage
those Stockholders who are able to attend to do so.

     For more information about your Fund, or your investment in its shares,
please write or call Stockholder Services using the toll-free telephone numbers
listed on page 5. 

By order of the Board of Directors,


/s/ William C. Morris
- ---------------------
William C. Morris
Chairman
                                                          /s/ Thomas G. Moles
                                                          -------------------
                                                              Thomas G. Moles
                                                                    President
April 26, 1996

                                       1
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<TABLE>
<CAPTION>

==========================================================================================================================
PORTFOLIO OF INVESTMENTS (unaudited)

- --------------------------------------------------------------------------------------------------------------------------
                           Face                                                                  Ratings
State                     Amount                        Municipal Bonds                        Moody's/S&P    Market Value
- --------------------------------------------------------------------------------------------------------------------------
<S>                    <C>              <C>                                                      <C>          <C> 
Alaska -- 4.5%         $10,000,000      Alaska Housing Finance Corp. (Collateralized
                                          Home Mortgage Rev.), 7.65% due 6/1/2024 .........      Aaa/AAA      $ 10,515,400
                                     
California -- 2.6%       6,000,000      San Joaquin Hills Transportation Corridor Agency
                                          Senior Lien Toll Road Rev. (Orange County),
                                          6 3/4% due 1/1/2032 ..............................     NR/NR           6,154,500
                                     
Delaware -- 3.1%         6,500,000      Delaware Economic Development Authority
                                          Exempt Facilities Rev. (Delmarva Power and
                                          Light Co. Project), 7.60% due 3/1/2020* ..........     Aaa/AAA         7,123,870
                                     
District of              9,000,000      Metropolitan Washington, D.C. Airports Authority
Columbia -- 7.8%                          Airport System Rev., 7.60% due 10/1/2014*              A1/AA-          9,874,800
                         7,500,000      District of Columbia G.O.'s, 7 1/2% due 6/1/2009         Aaa/AAA         8,335,050
                                     
Florida -- 8.0%          5,700,000      Brevard County Utility Rev., 7 3/8% due 3/1/2014         Aaa/AAA         6,164,550
                           975,000      Brevard County Utility Rev., 7 3/8% due 3/1/2014         Aaa/AAA         1,041,485
                         2,890,000      Florida Housing Finance Agency (Home Ownership
                                          Rev.), 7.90% due 3/1/2022* .......................     Aaa/NR          3,036,147
                         3,000,000      Florida Municipal Power Agency Rev. (St. Lucie
                                          Project), 5 1/2% due 10/1/2012 ...................     Aaa/AAA         2,939,490
                         5,150,000      Orange County Housing Finance Authority
                                          (Mortgage Rev.), 7.80% due 10/1/2022* ............     Aaa/NR          5,432,014
                                     
Illinois -- 2.3%         5,000,000      Chicago O'Hare International Airport International 
                                          Terminal Special Rev., 7 5/8% due 1/1/2010* ......     Aaa/AAA         5,444,150
                                     
Indiana -- 2.3%          5,000,000     Indiana Employment Development Commission
                                         Environmental Rev. (Public Service Company of 
                                          Indiana Inc.), 7 1/2% due 3/15/2015* .............     Aaa/AAA         5,447,050
                                     
Louisiana -- 5 1%       10,000,000     Louisiana Public Facilities Authority Hospital Rev.
                                         (Southern Baptist Hospitals, Inc. Project), 8%
                                          due 5/15/2012 ....................................     NR/AAA          1,756,600
                                     
Massachusetts -- 3.4%    5,370,000     Massachusetts Housing Finance Agency (Multi-
                                         Family Residential Development Rev.), 7.65%
                                         due 2/1/2028* ....................................      Aaa/AAA         5,665,243
                         2,125,000     Massachusetts State G.O.'s Consolidated Loan, 7 3/8%
                                         due 12/1/2008 .................................;..      Aaa/AAA         2,336,268
                                     
Michigan -- 2.7%         6,000,000     Royal Oak, MI Hospital Finance Authority Rev. 
                                        (William Beaumont Hospital), 6 3/4% due 1/1/2020 ..      Aa/AA           6,314,160
                      
Nebraska -- 1.6%         3,530,000     Nebraska Investment Finance Authority
                                         (Single Family Mortgage Rev.), 8 1/8% due 8/15/2038*    Aaa/AAA         3,688,426

Nevada -- 5.6%           7,000,000     Clark County Industrial Development Rev. (Nevada
                                         Power Company Project), 7.80% due 6/1/2020* ......      Aaa/AAA         7,731,430
                         5,000,000       Washoe County Water Facility Rev. (Sierra Pacific
                                         Power Company Project), 6.65% due 6/1/2017* ......      Aaa/AAA         5,331,650


New Hampshire -- 6.0%    5,895,000     New Hampshire Housing Finance Authority (Single
                                         Family Residential Mortgage Rev.), 7.90% due
                                         7/1/2022* ........................................      Aa/A+           6,232,783
                         6,950,000     New Hampshire State Industrial Development
                                         Authority Pollution Control Rev. (The
                                         Connecticut Light and Power Company
                                         Project), 7 3/8% due 12/1/2019* ..................      Aaa/AAA         7,627,556
 
                                      2
</TABLE>

<PAGE>

<TABLE>
<CAPTION>

==========================================================================================================================
                                                                                                           March 31, 1996)

- --------------------------------------------------------------------------------------------------------------------------
                           Face                                                                  Ratings
State                     Amount                        Municipal Bonds                        Moody's/S&P    Market Value
- --------------------------------------------------------------------------------------------------------------------------
<S>                    <C>              <C>                                                      <C>          <C>
New Jersey-- 2 6%       $2,000,000     New Jersey Educational Facilities Authority Rev.
                                         (Princeton University), 6% due 7/1/2024 ..........      Aaa/AAA      $  2,020,520
                         3,970,000     New Jersey Housing & Mortgage Finance Agency
                                         (Home Buyer Rev.), 7.70% due 10/1/2029* ..........      Aaa/AAA         4,122,607
                                    
New York -- 7.6%        10,000,000     New York State Energy Research & Development
                                         Authority Electric Facilities Rev. (Consolidated
                                         Edison Co. NY Inc. Project), 6.10% due 8/15/2020 .      Aaa/AAA        10,169,900
                         7,500,000     New York State Thruway Authority Rev., 6% due             Aaa/AAA5        7,516,875
                                   
New York and             6,000,000     Port Authority of New York and New Jersey, 8%
New Jersey -- 2.6%                       due 12/1/2023*                                          Aaa/AAA         6,137,400 

Ohio -- 2.9%             6,465,000     Ohio Housing Finance Agency (Single
                                         Family Mortgage Rev.), 7.65% due 3/1/2029* .......      NR/AAA          6,801,374

Pennsylvania -- 6.8%     2,500,000     Allegheny County Airport Rev. (Greater Pittsburgh 
                                         International Airport), 6.80% due 1/1/2010* ......      Aaa/AAA         2,684,525
                         3,000,000     Lehigh County Industrial Development Authority
                                         Pollution Control Rev. (Pennsylvania Power &
                                         Light Company Project), 6.40% due 11/1/2021 ......      Aaa/AAA         3,120,210
                        10,000,000     Philadelphia Airport Rev., 6.10% due
                                         6/15/2025* .......................................      Aaa/AAA        10,006,900

South Dakota -- 3.8%     8,315,000     South Dakota Student Loan Corporation Student
                                         Loan Rev., 7 5/8% due 8/1/2006* ..................      Aaa/AAA         8,725,511

Tennessee -- 2.8%        6,000,000     Humphreys County Industrial Development Board
                                         Solid Waste Disposal Rev. (E.I. du Pont de
                                         Nemours & Co. Project), 6.70% due 5/1/2024* ......      Aa3/AA-         6,400,560

Texas -- 8.8%           10,000,000     Lower Colorado River Authority Rev., 6% due
                                         1/1/2017 .........................................      Aaa/AAA        10,095,600
                         5,000,000     Matagorda County Navigation District No. 1
                                         Pollution Control Rev. (Houston Lighting and
                                         Power Company Project), 7 7/8% due 11/1/2016* .....     Aaa/AAA         5,200,950
                         5,000,000     Matagorda County Navigation District No. 1
                                         Co. Project), 7 7/8% due 12/1/2016* ..............      Aaa/AAA         5,214,950

Washington -- 4.0%       2,000,000     Grant County Public Utility District No. 002 (Priest
                                         Rapids Hydroelectric Development Rev.) 7.70%
                                         due 1/1/2018* ....................................      A1/A+           2,148,080
                         6,000,000     Snohomish County Public Utility District Rev., 6%
                                         due 1/1/2018 .....................................      Aaa/AAA         5,949,000
                         1,000,000     Spokane Regional Solid Waste Management System
                                         Rev., 7 3/4% due 1/1/2011* .......................      Aaa/AAA         1,086,500
                                                                                                              ------------
TOTAL MUNICIPAL BONDS (COST $213,511,140) -- 96.9% .....................................................       225,594,084
SHORT-TERM HOLDINGS (COST $2,500,000) -- 1.1% ..........................................................         2,500,000
OTHER ASSETS LESS LIABILITIES -- 2.0% ..................................................................         4,567,391
                                                                                                              ------------
NET INVESTMENT ASSETS-- 100.0% .........................................................................      $232,661,475
                                                                                                              ============
- ----------------
*  Interest  income  earned  from  this  security  is  subject  to  the  federal
alternative  minimum tax. Note:  Investments in tax-exempt  securities and other
short-term  holdings  maturing  in more  than  60 days  are  valued  based  upon
quotations  provided by an independent  pricing service or, in their absence, at
fair value  determined in accordance  with  procedures  approved by the Board of
Directors.  Short-term holdings maturing in 60 days or less are generally valued
at amortized cost.
                                       3
</TABLE>

<PAGE>

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INVESTMENT RESULTS

- --------------------------------------------------------------------------------
  TOTAL RETURNS
  For Periods Ended March 31, 1996

                                                        Average Annual
                                               -------------------------------
                                     Three      One         Five       Since
                                     Months     Year        Years    Inception
                                     ------     ----        -----    ---------
     Net Asset Value                (1.70)%     7.77%       8.96%      9.13%

     Market Price                    1.72      11.29        9.32       8.33

  ---------------------------------------------------------------------------
  PRICE PER SHARE
                             March 31, 1996        December 31, 1995
                             ---------------       -----------------
  Net Asset Value                $12.09                   $12.51
  Market Price                   $12.50                   $12.50
  -----------------------------------------------------------------------------

     These  rates of return  reflect  changes  in price,  net asset  value or
   market price, as applicable,  and assume that all distributions within the
   period are reinvested in additional  shares. The rates of return will vary
   and the  principal  value of an  investment  will  fluctuate.  Shares,  if
   redeemed,  may be  worth  more or less  than  their  original  cost.  Past
   performance is not indicative of future investment results.

- --------------------------------------------------------------------------------

                                       4
<PAGE>

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MANAGER
J. & W. Seligman & Co. Incorporated
100 Park Avenue
New York, NY 10017

GENERAL COUNSEL
Sullivan & Cromwell

INDEPENDENT AUDITORS
Deloitte & Touche LLP

STOCKHOLDER SERVICE AGENT
Seligman Data Corp.
100 Park Avenue
New York, NY 10017

IMPORTANT TELEPHONE NUMBERS
(800) 874-1092    STOCKHOLDER SERVICES
(800) 622-4597    24-HOUR AUTOMATED
                  TELEPHONE ACCESS SERVICE

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