SELIGMAN SELECT MUNICIPAL FUND INC
N-30D, 1996-03-06
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TO THE STOCKHOLDERS

     We are pleased to provide you with Seligman  Select  Municipal  Fund's 1995
Annual Report.

     During each of the past three months, your Fund paid Common Stockholders 
federally  tax-free  monthly  dividends  of $0.07 per share,  which brings total
dividends for the year to $0.84.  The  annualized  distribution  rate  based on
current market price was 6.72% at December 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 
3.79% to 4.05%.  Earnings on your Fund's assets in excess of the preferred 
dividend  requirements constituted dividend income for Common Stockholders. 

     At December 31, your Fund's net asset value was $12.51 per share, compared 
to $11.54 a year ago, and your Fund's market price was $12.50 per share, 
compared to $10.50 a year ago.  Total return based on net asset value for the 
12-month period was 17.09% and based on market price was 28.58%. (Total  return
assumes that distributions paid are reinvested in additional shares.)

     During the first half of 1995, the Federal Reserve Board (FRB) continued
to pursue restrictive monetary policy, raising the federal funds rate once again
on February 1, 1995. Market  participants were encouraged by the FRB action and
the bond market rally intensified. Long-term yields continued to trend lower 
through the first and second quarters in response to consistent reports of 
economic weakness.  

     The municipal bond market, however, began to underperform the US Treasury 
market during the second quarter as investors  increasingly  focused on
tax reform  legislation.  At the same time, the lower yields caused a pick-up in
municipal new issue supply, putting additional pressure on the municipal market.

     In July, the FRB, prompted by a slowing economy, voted to lower the federal
funds  rate to lessen  the risk of a  recession.  However,  subsequent  economic
reports proved surprisingly robust,  prompting  speculation that the economy was
not as weak as believed. Long-term yields temporarily reversed their decline but
by  mid-August,  signs of strength had abated and interest  rates  resumed their
decline.  

     Concerns  regarding  tax  reform  legislation  continue  to impact the
performance  of the  municipal  market  as  investors  demand  higher  yields on
municipal securities as compensation.  This uncertainty most likely will persist
throughout  1996, with municipal  bonds  remaining at historically  cheap levels
compared with US Treasury Bonds.  

     We thank you for your continued confidence in Seligman Select Municipal 
Fund and look forward to serving your investment needs in the future. 

By order of the Board of Directors,

/s/ William C. Morris
William C. Morris
Chairman

/s/ Thomas G. Moles
Thomas G. Moles
President

February 2, 1996

<PAGE>


YOUR PORTFOLIO MANAGER

Thomas G. Moles is a Managing  Director of J. & W. Seligman & Co.  Incorporated,
as well as President and Senior  Portfolio  Manager of Seligman Select Municipal
Fund and  Seligman  Quality  Municipal  Fund,  and  Vice  President  and  Senior
Portfolio  Manager of the Seligman  Tax-Exempt  mutual  funds,  which include 19
separate  portfolios.  Mr. Moles,  who has more than 23 years of experience,  is
responsible  for  approximately  $2 billion  in  tax-exempt  securities  and has
spearheaded  Seligman's  tax-exempt  efforts since joining the firm in 1983. Mr.
Moles is supported by a team of seasoned research and trading  professionals who
assist him in selecting securities in accordance with your Fund's objective.

INVESTMENT  STRATEGY 

"Given the generally positive outlook for interest rates in 1995, Seligman 
Select Municipal Fund remained fully invested in long-term municipal bonds 
throughout  the  year.   Consistent  with  our  interest  rate expectations,  
we began to  reduce  holdings  of  prerefunded  bonds.  These are defensive  
bonds that are used to  minimize  principal  loss  during  periods of rising 
interest rates.  When yields are falling,  as they did throughout most of
1995,  prerefunded  bonds  will  limit  a  portfolio's  upside  potential.  

"New purchases were  concentrated  in long-term,  current coupon bonds.  Had 
Seligman Select  purchased  more  discount  bonds,  market  appreciation  would 
have been greater.  However, we believed that enough of a downside risk existed 
in the market  to  justify  avoiding  too  aggressive  a  strategy."  

ECONOMIC FACTORS AFFECTING SELIGMAN SELECT MUNICIPAL FUND

"Throughout  1995, the bond market experienced a sustained rally--a direct 
result of efforts by the Federal Reserve Board to slow the economy and contain  
the rate of inflation.  The dramatic decline in long-term rates that 
characterized  most  of  1995  resulted  in double-digit  total returns for the 
majority of long-term municipal bond funds, including  Seligman Select." 

OUTLOOK FOR THE YEAR AHEAD 

"Tax reform legislation will continue to influence the performance of the 
municipal market until either tax reform is abandoned as an issue, or 
legislation is enacted, ending speculation about the impact on municipal 
securities. In the interim, investors will continue to demand higher 
yields on municipal bonds. For investors who are comfortable  with a period of  
uncertainty, long-term municipal bonds offer a substantial yield advantage,  on 
an after-tax basis, when compared with taxable bonds.

"Additionally,  the supply of new  municipal  issues is expected to vary
little from the $155  billion  issued in 1995.  However,  it is  estimated  that
principal  redemptions will range between  $140-150  billion.  As a result,  the
supply of outstanding municipals should remain essentially unchanged, which will
help to stabilize the market during periods of volatility."

                                        2
<PAGE>



PORTFOLIO OF INVESTMENTS

<TABLE>
<CAPTION>
- --------------------------------------------------------------------------------------------------------------
                           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     $ 10,708,800
                                        
ARIZONA-- 0.9%           2,000,000      Phoenix Street and Highway User Rev.,
                                          6 1/2% due 7/1/2009 ...................    NR/AA          2,149,300
                                        
CALIFORNIA-- 2.7%        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          6,365,220
                                        
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        7,342,205
                                        
DISTRICT OF                             METROPOLITAN WASHINGTON, D.C. AIRPORTS 
  COLUMBIA-- 7.8%        9,000,000        Authority Airport System Rev., 7.60% due 
                                          10/1/2014* ............................    A1/AA-        10,088,280
                                        
                         7,500,000      District of Columbia G.O.'s, 7 1/2% due
                                          6/1/2009 ..............................    Aaa/AAA        8,441,850
                                        
FLORIDA-- 8.0%           5,700,000      Brevard County Utility Rev., 7 3/8%                                         
                                          due 3/1/2014 ..........................    Aaa/AAA        6,215,622
                                        
                         1,105,000      Brevard County Utility Rev., 7 3/8%
                                          due 3/1/2014 ..........................    Aaa/AAA        1,197,698
                                        
                         3,015,000      Florida Housing Finance Agency (Home
                                          Ownership Rev.), 7.90% due 3/1/2022*...    Aaa/NR         3,189,538
                                        
                         3,000,000      Florida Municipal Power Agency Rev.
                                          (St. Lucie Project), 5 1/2% due
                                           10/1/2012 .............................    Aaa/AAA        3,060,270
                                        
                         5,150,000      Orange County Housing Finance Authority
                                          (Mortgage  Rev.), 7.80% due 10/1/2022*     Aaa/NR         5,484,596
                                        
ILLINOIS-- 2.3%          5,000,000      Chicago O'Hare International Airport 
                                          International Terminal Special Rev., 
                                          7 5/8% due 1/1/2010* ..................    Aaa/AAA        5,557,000
                                        
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        5,558,150
                                        
LOUISIANA-- 5.2%        10,000,000      Louisiana Public Facilities Authority
                                          Hospital Rev. (Southern Baptist 
                                          Hospitals, Inc. Project), 8% 
                                          due 5/15/2012 .........................    NR/AAA        12,374,200
                                        
MASSACHUSETTS-- 3.4%     5,370,000      Massachusetts Housing Finance Agency 
                                          (Multi-Family Residential Development 
                                          Rev.), 7.65% due 2/1/2028* ............    Aaa/AAA        5,724,366
                                        
                         2,125,000      Massachusetts State G.O.'s Consolidated 
                                          Loan, 7 3/8% due 12/1/2008 ............    Aaa/AAA        2,359,961
                                        
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          6,445,800
                                        
NEBRASKA-- 1.7%          3,835,000      Nebraska Investment Finance Authority 
                                          (Single Family Mortgage Rev.), 
                                          8 1/8% due 8/15/2038* .................    Aaa/AAA        4,040,940
                                        
NEVADA-- 5.6%            7,000,000      Clark County Industrial Development Rev.
                                          (Nevada Power Company Project), 7.80% 
                                          due 6/1/2020* .........................    Aaa/AAA        7,896,070
                                        
                         5,000,000      Washoe County Water Facility Rev. 
                                          (Sierra Pacific Power Company Project),
                                          6.65% due 6/1/2017* ...................    Aaa/AAA        5,438,000
                                        
NEW HAMPSHIRE-- 6.0%     6,040,000      New Hampshire Housing Finance Authority 
                                          (Single Family Residential Mortgage
                                          Rev.), 7.90% due 7/1/2022* ............    Aa/A+          6,379,327
                                        
                         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        7,766,833
                                        


                                       3
<PAGE>

PORTFOLIO OF INVESTMENTS (Continued)

- ---------------------------------------------------------------------------------------------------------------
                           FACE                                                      RATINGS
STATE                     AMOUNT               MUNICIPAL BONDS                     MOODY'S/S&P+    MARKET VALUE
- ---------------------------------------------------------------------------------------------------------------
NEW JERSEY-- 1.8%      $ 4,060,000      New Jersey Housing & Mortgage Finance
                                          Agency (Home Buyer Rev.), 7.70% due 
                                          10/1/2029* ............................    Aaa/AAA     $  4,264,827
                                        
NEW YORK-- 7.8%         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       10,673,600
                                        
                         7,500,000      New York State Thruway Authority 
                                          Rev., 6% due 1/1/2025 .................    Aaa/AAA        7,888,800
                                        
NEW YORK AND             6,000,000      PORT AUTHORITY OF NEW YORK AND 
   NEW JERSEY-- 2.6%                      New Jersey -- 8% due 12/1/2023* .......    Aaa/AAA        6,140,580
                                        
OHIO-- 2.9%              6,570,000      Ohio Housing Finance Agency (Single 
                                          Family Mortgage Rev.), 7.65% due 
                                          3/1/2029* .............................    NR/AAA         6,881,681
                                        
PENNSYLVANIA-- 6.9%      2,500,000      Allegheny County Airport Rev. (Greater
                                          Pittsburgh International Airport), 
                                          6.80% due 1/1/2010* ...................    Aaa/AAA        2,775,025
                                        
                         3,000,000      Lehigh County Industrial Development 
                                          Authority Pollution Control Rev. 
                                          Pennsylvania Power & Light Company
                                          Project), 6.40% due 11/1/2021 .........    Aaa/AAA        3,221,460
                                        
                        10,000,000      Philadelphia, PA Airport Rev., 
                                          6.10% due 6/15/2025*                       Aaa/AAA       10,496,200
                                        
SOUTH DAKOTA-- 3.7%      8,315,000      South Dakota Student Loan Corporation 
                                          Student Loan Rev., 7 5/8% due
                                          8/1/2006* .............................    Aaa/AAA        8,887,405
                                        
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-        6,560,580
                                        
TEXAS-- 8.8%            10,000,000      Lower Colorado River Authority Rev.,
                                          6% due 1/1/2017 .......................    Aaa/AAA       10,330,100
                                        
                         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        5,258,000
                                        
                         5,000,000      Matagorda County Navigation District No.
                                          1 Pollution Control Rev. (Central Power 
                                          and Light Co. Project), 7 7/8% due
                                          12/1/2016* ............................    Aaa/AAA        5,273,650
                                        
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+          2,240,600
                                        
                         6,000,000      Snohomish County Public Utility District
                                          Rev., 6% due 1/1/2018 .................    Aaa/AAA        6,228,060
                                        
                         1,000,000      Spokane Regional Solid Waste Management 
                                          System Rev., 7 3/4% due 1/1/2011*......    Aaa/AAA        1,106,420
                                                                                                 ------------
TOTAL MUNICIPAL BONDS (COST $214,590,110) -- 97.5% ..............................                 232,011,014
SHORT-TERM HOLDINGS (COST $1,800,000) -- 0.8% ...................................                   1,800,000
OTHER ASSETS LESS LIABILITIES -- 1.7% ...........................................                   4,142,463
                                                                                                 ------------
NET INVESTMENT ASSETS-- 100.0%                                                                   $237,953,477
                                                                                                 ============
</TABLE>

- ----------
*    Interest  income  earned  from this  security  is  subject  to the  federal
     alternative  minimum  tax. 

+    Ratings  have not been  audited  by  Deloitte  & Touche  LLP.  See notes to
     financial statements.


                                       4
<PAGE>

STATEMENT OF ASSETS AND LIABILITIES                         DECEMBER 31, 1995

<TABLE>
<CAPTION>

<S>                                                    <C>               <C>
ASSETS:
Investments at value:
        Long-term holdings (cost $214,590,110) .....   $232,011,014
        Short-term holdings (cost $1,800,000) ......      1,800,000      $233,811,014
                                                       ------------
                                                                              141,372
Interest receivable ................................................        4,378,597
Expenses prepaid to stockholder service agent ......................           39,100
Other ..............................................................           15,177
                                                                         ------------
TOTAL ASSETS .......................................................      238,385,260
                                                                         ------------

LIABILITIES:
Accrued expenses, taxes, and other .................................          431,783
                                                                         ------------
Net Investment Assets ..............................................      237,953,477
Preferred Stock ....................................................       75,000,000
                                                                         ------------
NET ASSETS FOR COMMON STOCK ........................................     $162,953,477
                                                                         ============
NET ASSETS PER SHARE OF COMMON STOCK (market value $12.50) .........           $12.51
                                                                               ======

COMPOSITION OF NET ASSETS:
Preferred Stock Series A, $.01 par value, liquidation 
  preference and asset coverage per share--$100,000
  and $317,271, respectively; shares authorized,
  issued and outstanding--375 ......................................     $ 37,500,000

Preferred Stock Series B, $.01 par value, liquidation
  preference and asset coverage per share--$100,000 and
  $317,271, respectively; shares authorized, issued and
  outstanding--375 .................................................       37,500,000

Common Stock, $.01 par value: shares authorized--49,999,250;
  issued and outstanding--13,023,149 ...............................          130,231
Additional paid-in capital .........................................      143,329,202
Undistributed net investment income ................................        2,073,140
Net unrealized appreciation of investments .........................       17,420,904
                                                                         ------------
NET INVESTMENT ASSETS ..............................................     $237,953,477

                                                                         ============
</TABLE>
- ----------
See notes to financial statements.


                                       5
<PAGE>

STATEMENT OF OPERATIONS                    FOR THE YEAR ENDED DECEMBER 31, 1995

INVESTMENT INCOME:
Interest .........................................................  $ 15,552,556

Expenses:
Management fee ......................................  $ 1,286,306
Stockholder account, transfer, and 
  registrar services ................................      308,628
Preferred stock remarketing fee .....................      187,500
Auditing and legal fees .............................       68,050
Custody and related services ........................       53,226
Stockholder reports and communications ..............       43,145
Stockholders' meeting ...............................       42,466
Directors' fees and expenses ........................       34,278
Miscellaneous .......................................      108,264
                                                       -----------
TOTAL EXPENSES ...................................................    2,131,863
                                                                    -----------
NET INVESTMENT INCOME ............................................   13,420,693*

NET REALIZED AND UNREALIZED GAIN ON INVESTMENTS:
Net realized gain on investments ....................    1,237,692
Net change in unrealized appreciation ...............   13,171,520
                                                        ----------
NET GAIN ON INVESTMENTS ..........................................   14,409,212
                                                                    -----------
INCREASE IN NET INVESTMENT ASSETS FROM OPERATIONS                   $27,829,905
                                                                    ===========

- ----------
*    Net investment  income available for Common Stock is $10,418,792,  which is
     net of Preferred Stock dividends. 
See notes to financial statements.


                                       6
<PAGE>

STATEMENTS OF CHANGES IN NET INVESTMENT ASSETS

                                                      YEAR ENDED DECEMBER 31,
                                                 ------------------------------
                                                      1995              1994
                                                 --------------   -------------
OPERATIONS:
Net investment income ........................    $ 13,420,693     $ 13,660,382
Net realized gain on investments .............       1,237,692          345,488
Net change in unrealized appreciation ........      13,171,520      (21,357,953)
                                                  ------------     ------------
Increase (decrease) in net investment 
  assets from operations .....................      27,829,905       (7,352,083)
                                                  ------------     ------------
DISTRIBUTIONS TO STOCKHOLDERS:
Net investment income:
  Preferred Stock, Series A 
    (per share: $4,004.38 and $2,903.58) .....      (1,501,642)      (1,088,842)
  Preferred Stock, Series B 
    (per share: $4,000.69 and $2,907.55) .....      (1,500,259)      (1,090,331)
  Common Stock (per share: $.84 and $.84) ....     (10,926,597)     (10,919,152)
                                                  ------------     ------------
 Total .......................................     (13,928,498)     (13,098,325)

Net realized gain on investments:
  Common Stock (per share: $.096 and $.027) ..      (1,248,854)        (350,970)
                                                  ------------     ------------
Decrease in net investment assets 
  from distributions .........................     (15,177,352)     (13,449,295)
                                                  ------------     ------------
CAPITAL SHARE TRANSACTIONS:
Value of shares of Common Stock issued 
  for investment plan (88,591 and 94,425 shares)     1,069,268        1,110,989
Value of shares of Common Stock issued 
  in payment of gain distribution 
  (16,144 and 5,318 shares) ..................         200,250           57,488
Cost of shares purchased for investment plan 
  (88,200 and 78,800 shares) .................      (1,068,255)        (912,503)
                                                  ------------     ------------
Increase in net investment assets from capital 
  share transactions .........................         201,263          255,974
                                                  ------------     ------------
Increase (decrease) in net investment assets .      12,853,816      (20,545,404)

NET INVESTMENT ASSETS:
Beginning of year ............................     225,099,661      245,645,065
                                                  ------------     ------------
End of year (including undistributed net 
  investment income of $2,073,140 
  and $2,580,945) ............................    $237,953,477     $225,099,661
                                                  ============     ============

- ----------
See notes to financial statements.


                                       7
<PAGE>

NOTES TO FINANCIAL STATEMENTS

1.   Significant accounting  policies followed, all in conformity with generally
accepted accounting principles, are given below:

a.   All 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 pro-cedures approved by the Board of Directors.  Short-term
     holdings  maturing  in 60 days or less are  generally  valued at  amortized
     cost.

b.   The Fund has  elected to be taxed as a  regulated  investment  company  and
     intends to  distribute  substantially  all  taxable net income and net gain
     realized.

c.   Investment  transactions  are recorded on trade dates.  Identified  cost of
     investments  sold is used for both  financial  statement and federal income
     tax purposes.  Interest  income is recorded on the accrual basis.  The Fund
     amortizes  original  issue  discounts  and  premiums  paid on  purchases of
     portfolio securities. Discounts other than original issue discounts are not
     amortized.

d.   Dividends  and  distributions   paid  by  the  Fund  are  recorded  on  the
     ex-dividend date.

e.   The treatment for financial statement purposes of distributions made during
     the year from net  investment  income or net realized gains may differ from
     their ultimate treatment for federal income tax purposes. These differences
     primarily are caused by  differences  in the timing of the  recognition  of
     certain  components  of  income,  expense,  or  capital  gain.  Where  such
     differences  are  permanent  in  nature,   they  are  reclassified  in  the
     components  of net  assets  based on their  ultimate  characterization  for
     federal income tax purposes.  Any such reclassification will have no effect
     on net assets,  results of operations,  or net asset value per share of the
     Fund.

2.   Purchases  and  sales  of  portfolio   securities,   excluding   short-term
investments,  for the year ended December 31, 1995, amounted to $33,835,610, and
$29,880,856, respectively.

     At December  31,  1995,  the cost of  investments  for  federal  income tax
purposes  was  substantially  the  same  as the  cost  for  financial  reporting
purposes,  and the tax basis gross  unrealized  appreciation and depreciation of
portfolio securities amounted to $17,458,649 and $37,745, respectively.

3.   Under the Fund's Charter, dividends  or other  distributions  on the Common
Stock  cannot be declared  unless the Fund can satisfy the  requirements  of two
separate asset maintenance tests after giving effect to such distributions.

     The Fund, in  connection  with its Dividend  Investment  Plan (the "Plan"),
acquires and issues shares of its own Common Stock,  as needed,  to satisfy Plan
requirements. For the year ended December 31, 1995, 88,200 shares were purchased
in the open market at a cost of $1,068,255, which represented a weighted average
discount of 1.28% from the net asset value of those acquired  shares. A total of
89,122 shares were issued to Plan participants during the period for proceeds of
$1,078,303, a discount of 1.18% from the net asset value of those shares.

4. The Fund is authorized to issue 50,000,000 shares of Capital Stock, par value
$.01 per share,  all of which were  initially  classified as Common  Stock.  The
Board of Directors is authorized to classify and reclassify any unissued  shares
of Capital Stock,  and has  reclassified  750 shares of unissued Common Stock as
Preferred Stock.

     The Preferred Stock is redeemable at the option of the Fund, in whole or in
part,  on any dividend  payment date at $100,000 per share plus any  accumulated
but  unpaid  dividends.  The  Preferred  Stock  is  also  subject  to  mandatory
redemption at $100,000 per share plus any  accumulated  but unpaid  dividends in
April  2020  (Series A) and April  2022  (Series  B) or if certain  requirements
relating to the  composition  of the assets and  liabilities  of the Fund as set
forth in its Charter are not satisfied.  Liquidation preference of the Preferred
Stock is $100,000 per share plus accumulated and unpaid dividends.


                                       8
<PAGE>

     Dividends  on each  series  of  Preferred  Stock are  cumulative  at a rate
established at the initial public offering and typically are reset every 28 days
based on the lowest  rate which  would  permit  the shares to be  remarketed  at
$100,000 per share.

     The holders of Preferred  Stock have voting  rights equal to the holders of
Common Stock (one vote per share) and generally  will vote together with holders
of shares of Common Stock as a single class. Voting as a separate class, holders
of Preferred Stock are entitled to elect two of the Fund's directors.

5.   J.& W. Seligman  & Co.  Incorporated  (the "Manager")  manages  the affairs
of the Fund and provides the necessary personnel and facilities. Compensation of
all  officers  of the  Fund,  all  directors  of the Fund who are  employees  or
consultants  of the Manager,  and all personnel of the Fund and the Manager,  is
paid by the Manager. The Manager's fee, calculated daily and payable monthly, is
equal to 0.55% per annum of the Fund's daily net assets.

     Seligman  Data  Corp.,  which  is owned by  certain  associated  investment
companies, charged at cost, $256,524 for stockholder account services.

     Certain officers and directors of the Fund are officers or directors of the
Manager and/or Seligman Data Corp.

     Fees of  $16,000  were  incurred  by the Fund  for the  legal  services  of
Sullivan & Cromwell, a member of which firm is a director of the Fund.

     The Fund has a compensation  arrangement  under which directors who receive
fees may elect to defer receiving such fees. Interest is accrued on the deferred
balances.  The annual cost of such fees and  interest is included in  directors'
fees and expenses,  and the accumulated balance thereof at December 31, 1995, of
$39,453 is  included in other  liabilities.  Deferred  fees and related  accrued
interest are not  deductible  for federal income tax purposes until such amounts
are paid.

6.  Following  is a summary of unaudited  quarterly  results of  operations,  in
thousands of dollars except for per share amounts:

<TABLE>
<CAPTION>
                                                FOR QUARTERS ENDED IN THE YEAR 1995
                                            ----------------------------------------------
                                            MARCH 31   JUNE 30   SEPTEMBER 30  DECEMBER 31
                                            --------   -------   ------------  -----------
<S>                                          <C>       <C>          <C>         <C>   
Total investment income ................     $3,956    $3,902       $3,799      $3,896
Net Investment income for Common Stock .     $2,586    $2,664       $2,525      $2,644
  Per Common Share .....................       $.20      $.20         $.20        $.20

Net realized and unrealized investment 
  gain (loss) ..........................     $7,555    $1,407       $1,503      $3,944
  Per Common Share .....................       $.58      $.11         $.12        $.30
</TABLE>

<TABLE>
<CAPTION>
                                                FOR QUARTERS ENDED IN THE YEAR 1995
                                            ----------------------------------------------
                                            MARCH 31   JUNE 30   SEPTEMBER 30  DECEMBER 31
                                            --------   -------   ------------  -----------

<S>                                        <C>        <C>          <C>          <C>   
Total investment income ................     $4,045    $3,806       $4,050       $3,856
Net Investment income for Common Stock .     $3,017    $2,825       $2,915       $2,724
  Per Common Share .....................       $.23      $.22         $.22         $.21
Net realized and unrealized investment
  loss .................................   $(12,374)  $(1,150)     $(1,747)     $(5,741)
  Per Common Share .....................      $(.95)    $(.09)       $(.13)       $(.44)
</TABLE>


                                       9
<PAGE>

FINANCIAL HIGHLIGHTS

The Fund's  financial  highlights are presented  below.  The per share operating
performance  data  is  designed  to  allow  investors  to  trace  the  operating
performance,  on a per Common share basis,  from the Fund's  beginning net asset
value to the ending net asset value so that they can understand  what effect the
individual items have on their  investment,  assuming it was held throughout the
period.  Generally,  the per share amounts are derived by converting  the actual
dollar amounts incurred for each item, as disclosed in the financial statements,
to their equivalent per Common share amount.  

     The total  investment  return  based on market  value  measures  the Fund's
performance  assuming investors  purchased Fund shares at market value as of the
beginning of the period, reinvested dividends and capital gains paid as provided
for in the Fund's  dividend  investment  plan, and then sold their shares at the
closing market value per share on the last day of the period.  The  computations
do not  reflect  any sales  commissions  investors  may incur in  purchasing  or
selling Fund  shares.  The total  investment  return based on net asset value is
similarly computed except that the Fund's net asset value is substituted for the
corresponding market value.

     The ratios of expenses to average net assets and net  investment  income to
average  net assets  for all  periods  presented  do not  reflect  the effect of
dividends paid to Preferred Stockholders.


<TABLE>
<CAPTION>
                                                                            YEAR ENDED DECEMBER 31,
                                                          ----------------------------------------------------------
PER SHARE OPERATING PERFORMANCE:                           1995         1994         1993         1992         1991
                                                          ------       ------       ------       ------       ------
<S>                                                       <C>          <C>          <C>          <C>          <C>
Net asset value, beginning of year .................      $11.54       $13.14       $12.45       $11.95       $11.15
                                                          ------       ------       ------       ------       -------
Net investment income ..............................        1.03         1.05         1.05         1.09         1.10
Net realized and unrealized
 investment gain (loss) ............................        1.11        (1.61)        0.85         0.45         0.81
                                                          ------       ------       ------       ------       ------
Increase (decrease) from investment
  operations .......................................        2.14        (0.56)        1.90         1.54         1.91
Dividends paid on Preferred Stock ..................       (0.23)       (0.17)       (0.15)       (0.18)       (0.27)
Dividends paid on Common Stock .....................       (0.84)       (0.84)       (0.84)       (0.84)       (0.84)
Net realized gain paid on Common Stock .............       (0.10)       (0.03)       (0.22)       (0.02)        --
                                                          ------       ------       ------       ------       ------
Net increase (decrease) in net
  asset value ......................................        0.97        (1.60)        0.69         0.50         0.80
                                                          ------       ------       ------       ------       ------
Net asset value, end of year .......................      $12.51       $11.54       $13.14       $12.45       $11.95
                                                          ======       ======       ======       ======       ======

Market value, end of year ..........................      $12.50       $10.50       $13.00       $12.75       $12.25
                                                          ======       ======       ======       ======       ======
TOTAL INVESTMENT RETURN:
        Based upon market value ....................      28.58%     (13.05)%       10.55%       11.67%       17.10%
        Based upon net asset value .................      17.09%      (5.46)%       14.44        11.78%       15.25%

RATIOS/SUPPLEMENTAL DATA:
Expenses to average net assets .....................       0.91%        0.90%        0.92%        0.90%        0.90%
Net investment income to average
  net assets .......................................       5.74%        5.84%        5.58%        6.06%        6.33%
Portfolio turnover .................................      13.37%       10.74%       15.83%        3.90%        7.36%
Net investment assets, end of year
(000's omitted):
        For Common Stock ...........................    $162,953     $150,100     $170,645     $160,844     $153,501
        For Preferred Stock ........................      75,000       75,000       75,000       75,000       75,000
                                                        --------     --------     --------     --------     --------
Total net investment assets ........................    $237,953     $225,100     $245,645     $235,844     $228,501
                                                        ========     ========     ========     ========     ========
</TABLE>

- ----------
See notes to financial statements.


                                       10
<PAGE>

REPORT OF INDEPENDENT AUDITORS

THE BOARD OF DIRECTORS AND STOCKHOLDERS,
SELIGMAN SELECT MUNICIPAL FUND, INC.:

We have audited the accompanying statement of assets and liabilities,  including
the portfolio of  investments,  of Seligman  Select  Municipal  Fund, Inc. as of
December 31, 1995, the related  statements of operations for the year then ended
and of changes in net  investment  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. 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 the financial  highlights
based on our  audits.  

     We  conducted  our audits in  accordance  with  generally accepted auditing
standards.  Those standards require that we plan and perform the audit to obtain
reasonable assurance about whether the financial statements and the financial 
highlights  are  free of  material  misstatement.  An audit includes examining,
on a test basis, evidence supporting the amounts and disclosures in the 
financial statements. Our procedures included confirmation of securities owned 
at December 31, 1995, by correspondence with the Fund's custodian.  An audit 
also includes assessing the accounting  principles used and significant 
estimates made by management, as well as evaluating the overall financial 
statement presentation.  We  believe that our audits provide a reasonable basis 
for our opinion. 

     In our opinion,  such financial statements and financial highlights present
fairly, in all material  respects,  the financial position of Seligman  Select  
Municipal  Fund, Inc. as of December 31, 1995, the results of its  operations,  
the changes in its net investment assets, and the financial  highlights for the 
respective  stated  periods,  in conformity  with generally accepted accounting 
principles.


DELOITTE & TOUCHE LLP
New York, New York
February 2, 1996



                                       11
<PAGE>

DIVIDEND INVESTMENT PLAN

The Dividend  Investment Plan (the "Plan") is available for any holder of Common
Stock  with  shares  registered  in  his/her  own name who  wishes  to  purchase
additional  shares of Common Stock with dividends or  distributions  received on
Fund  shares  owned.  The Plan is not  automatic;  a  Stockholder  may  elect to
participate  in the Plan by notifying  his/her broker when the account is set up
or, if the account is maintained  by the Fund,  by sending a written  request to
Seligman  Data Corp.  ("Seligman  Data"),  100 Park Avenue,  New York,  New York
10017.  Under the Plan,  Stockholders  appoint  the Fund as Plan Agent to invest
dividends  in shares of the Fund.  Such  shares will be acquired by the Fund for
Stockholders  either  through open market  purchases if the Fund is trading at a
discount or through  the  issuance of  authorized  by unissued  shares of Common
Stock if the Fund is trading at a premium. If the market price of a share on the
payable  date of a dividend  is at or above the Fund's net asset value per share
on such date, the number of shares to be issued by the Fund to each  Stockholder
receiving  shares in lieu of cash  dividends  will be determined by dividing the
amount of the cash  distribution to which such Stockholder  would be entitled by
the  greater of the net asset  value per share on such date of 95% of the market
price  of a  share  on such  date.  If the  market  price  of a share  on such a
distribution  date is below the net asset value per share,  the number of shares
to be issued to such  Stockholder  will be determined by dividing such amount by
the per share market price.

     Purchases  will be made by the Fund from time to time on the New York Stock
Exchange  (the  "Exchange")  or elsewhere to satisfy  dividend and  distribution
investment  requirements under the Plan.  Purchases will be suspended on any day
when the  closing  price (or  closing  bid price if there  were no sales) of the
shares on the  Exchange  on the  preceding  trading  day was higher than the net
asset value per share.  If on the dividend  payable date,  purchases by the Fund
are  insufficient  to satisfy  dividend  investments and on the last trading day
immediately preceding the dividend payable date the closing sale or bid price of
the shares is lower than or the same as the net asset value per share,  the Fund
will continue to purchase shares until all investments by Stockholders have been
completed or the closing sale or bid price of the shares becomes higher than the
net asset  value,  in which  case the Fund will issue the  necessary  additional
shares  from  authorized  but  unissued  shares.  If on  the  last  trading  day
immediately  preceding the dividend  payable date, the closing sale or bid price
of the shares of Common Stock is higher than the net asset value per share,  and
if the number of shares  previously  purchased  on the  Exchange or elsewhere is
insufficient to satisfy dividend investments,  the Fund will issue the necessary
additional  shares from  authorized but unissued  shares of Common Stock.  There
will be no  brokerage  charges  with  respect to shares of Common  Stock  issued
directly by the Fund to satisfy the dividend investment  requirements.  However,
each  participant  will pay a pro rata share of brokerage  commissions  incurred
with respect to the Fund's open market  purchases of shares.  In each case,  the
cost per share of shares purchased for each Common Stockholder's account will be
the average cost, including brokerage commissions, of any shares of Common Stock
purchased in the open market plus the cost of any shares issued by the Fund. For
the year ended December 31, 1995,  the Fund purchased  88,200 shares in the open
market for dividend and gain investment purposes.

     Common  Stockholders who elect to hold their shares in the name of a broker
or other  nominee  should  contact  such  broker or other  nominee to  determine
whether they may  participate in the Plan. To the extent such  participation  is
permitted, the Plan Agent will administer the Plan on the basis of the number of
shares  certified  from  time  to  time  by  the  broker  or  other  nominee  as
representing the total amount  registered in the nominee's name and held for the
account of beneficial  owners who are  participating  in such Plan by delivering
shares on behalf of such holder to such  nominee's  account at Depository  Trust
Company ("DTC").  Stockholders  holding shares that participate in the Plan in a
brokerage  account may not be able to transfer the shares to another  broker and
continue to participate in the Plan.


                                       12
<PAGE>

     A  Common  Stockholder  who has  elected  to  participate  in the  Plan may
withdraw from the Plan at any time. There will be no penalty for withdrawal from
the Plan, and Common  Stockholders  who have previously  withdrawn from the Plan
may rejoin it at any time.  Changes in  elections  must be in writing and should
include the Common  Stockholder's name and address as they appear on the account
registration or in respect of an account held at DTC, the account  registration.
An election to withdraw from the Plan will,  until such election is changed,  be
deemed  to be an  election  by a  Common  Stockholder  to  take  all  subsequent
distributions in cash. An election will be effective only for a dividend or gain
distribution if it is received by Seligman Data on or before such record date.

     Seligman  Data will maintain all Common  Stockholders'  account in the Plan
not held by DTC, and furnish  written  confirmation  of all  transactions in the
account,  including  information needed by Common  Stockholders for tax records.
Shares in the account of each Plan  participant may be held by the Plan Agent in
non-certificated  form  in  the  name  of  the  participant,   and  each  Common
Stockholder's  proxy will include those shares purchased or received pursuant to
the Plan.

     The Fund seeks to pay dividends that are exempt from regular federal income
taxes; however, to the extent that any dividends or distributions do not qualify
as exempt from  regular  federal  income  taxes or are  subject to state  income
taxes,  the automatic  investment of dividends will not relieve  participants of
any income  taxes that may be  payable  (or  required  to be  withheld)  on such
dividends.  Stockholders  receiving  dividends or  distributions  in the form of
additional  shares pursuant to the Plan should be treated for federal income tax
purposes as receiving a  distribution  in an amount equal to the amount of money
that the Stockholders receiving cash dividends or distributions will receive and
should have a cost basis in the shares received equal to such amount.

     The Fund  reserves the right to amend or  terminate  the Plan as applied to
any  dividend  paid   subsequent  to  written  notice  of  the  change  sent  to
participants  in the Plan at  least  90 days  before  the  record  date for such
dividend.  There is no service charge to participants in the Plan; however,  the
Fund reserves the right to amend the Plan to include a service charge payable to
the Fund by the participants.  All correspondence concerning the Plan, including
requests  for  additional  information  about the Plan,  should be  directed  to
Seligman Data.

     The Fund may make  additional  purchases  of its  Common  Stock in the open
market  and  elsewhere  at such  prices  and in such  amounts  as the  Board  of
Directors may deem advisable.  No such additional purchases were made during the
year ended December 31, 1995.


                                       13
<PAGE>


BOARD OF DIRECTORS

FRED E. BROWN
Director and Consultant,
  J. & W. Seligman & Co. Incorporated

JOHN R. GALVIN 2
Dean, Fletcher School of Law and Diplomacy
   at Tufts University
Director, USLIFE Corporation

ALICE S. ILCHMAN 3
President, Sarah Lawrence College
Trustee, Committee for Economic Development
Director, NYNEX
Chairman, The Rockefeller Foundation

FRANK A. MCPHERSON 2
Chairman and CEO, Kerr-McGee Corporation
Director, Kimberly-Clark Corporation
Director, Baptist Medical Center

JOHN E. MEROW
Partner, Sullivan & Cromwell, Law Firm
Director, Commonwealth Aluminum Corporation

BETSY S. MICHEL 2
Director or Trustee,
  Various Organizations

WILLIAM C. MORRIS 1
Chairman
Chairman of the Board and President,
  J. & W. Seligman & Co. Incorporated
Chairman, Carbo Ceramics Inc.
Director, Kerr-McGee Corporation

JAMES C. PITNEY 3
Partner, Pitney, Hardin, Kipp & Szuch, Law Firm
Director, Public Service Enterprise Group

JAMES Q. RIORDAN 3
Director, The Brooklyn Union Gas Company
Trustee, Committee for Economic Development
Director, Dow Jones & Co., Inc.
Director, Public Broadcasting Service

RONALD T. SCHROEDER 1
Managing Director,
  J. & W. Seligman & Co. Incorporated

ROBERT L. SHAFER 3
Vice President, Pfizer Inc.
Director, USLIFE Corporation

JAMES N. WHITSON 2
Executive Vice President and Director,
  Sammons Enterprises, Inc.
Director, C-SPAN
Director, Red Man Pipe and Supply Company

Brian T. Zino 1
Managing Director,
  J. & W. Seligman & Co. Incorporated


- ----------
Member: 1 Executive Committee
        2 Audit Committee
        3 Director Nominating Committee


                                       14
<PAGE>


EXECUTIVE OFFICERS

WILLIAM C. MORRIS
Chairman

THOMAS G. MOLES
President

EILEEN A. COMERFORD
Vice President

AUDREY G. KUCHTYAK
Vice President

LAWRENCE P. VOGEl
Vice President

THOMAS G. ROSE
Treasurer

FRANK J. NASTA
Secretary
- -------------------------------------
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

                                       15
<PAGE>


             Seligman
              Select
             Municipal
            Fund, Inc.












             [LOGO]

          Annual Report
        December 31, 1995

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

CESEL2 12/95


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