SELIGMAN TAX EXEMPT SERIES TRUST
24F-2NT, 1995-11-22
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                                                               November 20, 1995



             Rule 24f-2 Notice for Seligman Tax-Exempt Series Trust



Securities and Exchange Commission
Division of Investment Management
450 Fifth Street, N.W.
Washington, D.C.  20549

Attention:  Division of Investment Management
               File No. 2-92569

Dear Sirs:

     Seligman Tax-Exempt Series Trust hereby provides the following  information
with  respect to sales of its  capital  stock  pursuant  to Rule 24f-2 under the
Investment Company Act of 1940:

    1.   Fiscal year for which notice is filed: September 30, 1995

    2.   Number of shares registered under the Securities Act of 1933 other
than  pursuant  to Rule 24f-2 which  remained  unsold at the  beginning  of such
fiscal year: -0-

    3. Number of shares  registered during such fiscal year other than pursuant
to Rule 24f-2: -0-

    4.   Number of shares sold during such fiscal year:  
                                                                         
                                                   Shares  (a)
          California High-Yield Series             1,596,520
          California Quality Series                  915,576
          Florida Series                             651,598
          North Carolina Series                      741,111
                                                  ----------
          Total                                    3,904,805

<PAGE>




Securities and Exchange Commission                             November 20, 1995
Division Of Investment Management
                                     - 2 -


     5.  Number  of  shares  sold  during  such  fiscal  year in  reliance  upon
registration pursuant to Rule 24f-2: Same as item 4.


     A filing fee of $666.23 is enclosed as calculated on the following  page as
is the opinion of counsel required by Rule 24f-2.


                               Very truly yours,
                        Seligman Tax-Exempt Series Trust

                                 
                                 
                                 Thomas G. Rose
                            By ____________________
                                 Thomas G. Rose
                                   Treasurer
  
    Enclosure
    _________________________

<PAGE>


Securities and Exchange Commission                             November 20, 1995
Division of Investment Management


<TABLE>
<CAPTION>

     (a) The following is a calculation of the fee payable pursuant to paragraph
(c) of Rule 24f-2:

                                                        Fiscal Year Ended 9/30/95                                                 
                                      California High-Yield   California Quality     Florida Series   North Carolina Series   Total
                                               Series              Series                                                      Fees

                                          Class A   Class D    Class A   Class D     Class A   Class D   Class A  Class D
<S>                                         <C>       <C>        <C>        <C>        <C>       <C>       <C>       <C>        <C>


Aggregate sales price of shares
  sold pursuant to Rule 24f-2          $9,601,182   $717,330  $5,603,721   $373,422 $4,219,380 $797,338 $4,456,478 $1,097,575   N/A

Aggregate redemption or repurchase
  price of shares redeemed or
  purchased during previous fiscal year(8,576,154) (141,123) (16,234,363) (380,342)(8,403,934)(467,448)(9,214,553)(1,240,944)   N/A

Aggregate redemption or repurchase
  price of shares previously applied
  pursuant to Rule 24e-2(a)                  -          -         -            -         -        -         -          -         -

Total                                   $1,025,028  $576,207 ($10,630,642)($6,920)($4,184,554)$329,890($4,758,075)($143,369)  N/A
                                         ---------   -------- -----------  ------- ----------- ------- ----------- --------- ------
Fee (Total X .000345)                      $353.63   $198.79      $0.00     $0.00     $0.00    $113.81      $0.00    $0.00   $666.23

</TABLE>
<PAGE>
        

                                                               



                        SELIGMAN TAX-EXEMPT SERIES TRUST



     The  undersigned,   Treasurer  of  Seligman  Tax-Exempt  Series  Trust,  an
un-incorporated  business trust under the laws of Massachusetts (the "Company"),
does hereby certify as follows:

     1. From October 1, 1994 through  September 30, 1995,  the Company issued an
aggregate  of  3,904,805  shares of  Beneficial  Interest,  $0.001  par value as
follows:

                                           Shares
California High-Yield Series            1,596,520
California Quality Series                 915,576
Florida Series                            651,598
North Carolina Series                     741,111
                                                     
                           
     2. In  respect  of the  issuance  of such  3,904,805  shares,  the  Company
received  aggregate  cash  consideration  (net  of  any  sales  commissions)  of
$26,388,842 as follows.
                           
California High-Yield Series          $10,214,687
California Quality Series               5,840,154
Florida Series                          4,910,558
North Carolina Series                   5,423,443

                           
     3.  With  respect  to  each  share  issued,   the  Company   received  cash
consideration not less than its net asset value per share on the date issued and
not less than $0.001.


     4. The Declaration of Trust permits the Trustees to issue unlimited  number
of full and  fractional  shares of  Beneficial  Interest,  $.001 par  value,  in
separate series.

                                  
     In Witness  Thereof,  I have  hereunto  signed my name as  Treasurer of the
Company.

Date:  October 11, 1995
                                                                  Thomas G. Rose
                                                        ________________________
                                                                  Thomas G. Rose
                                                                    Treasurer





SULLIVAN & CROMWELL
NEW YORK TELEPHONE: (212) 558-4000
TELEX: 62694 (INTERNATIONAL) 127816 (DOMESTIC)
  125 Broad Street, New York 10004-2498
CABLE ADDRESS: LADYCOURT, NEW YORK                                     
FACSIMILE: (212) 558-3588 (125 Broad Street)  
250 PARK AVENUE, NEW YORK 10177-0021
(212) 558-3792 (250 Park Avenue)      
1701 PENNSYLVANIA AVE, N.W. WASHINGTON, D.C. 20006-5805
444 SOUTH FLOWER STREET, LOS ANGELES 90071-2901
8, PLACE VENDOME, 75001 PARIS
ST. OLAVE'S HOUSE, 9a IRONMONGER LANE, LONDON EC2V 8EY
101 COLLINS STREET, MELBOURNE 3000
2-1, MARUNOUCHI I-CHOME, CHIYODA-KU, TOKYO 100
GLOUCESTER TOWER, 11 PEDDER STREET, HONG KONG

                                                               November 20, 1995



Seligman Tax-Exempt Series Trust,
   100 Park Avenue,
      New York, New York 10017.

Dear Sirs:

     You have  requested  our opinion in  connection  with the notice  which you
propose to file pursuant to Rule 24f-2 under the Investment  Company Act of 1940
with  respect to your  shares of  beneficial  interest,  $0.001  par  value,  as
follows: 915,576 shares of beneficial interest of your California Quality Series
(the  "Quality  Shares"),  1,596,520  shares  of  beneficial  interest  of  your
California  High-Yield  Series  (the  "High-Yield  Shares"),  651,598  shares of
beneficial  interest of your Florida  series (the "Florida  Shares") and 741,111
shares of beneficial interest of your North Carolina series (the "North Carolina
Shares").

     As your  counsel,  we are familiar  with your  organization  and  corporate
status and validity of your shares of beneficial interest.

     We advise you that,  in our opinion,  the Quality  Shares,  the  High-Yield
Shares,  the  Florida  Shares,  and the North  Carolina  Shares are  legally and
validly issued, fully paid and nonassessable.

     The  foregoing  opinion  is  limited  to the  laws of the  Commonwealth  of
Massachusetts,  and we are expressing no opinion as to the effect of the laws of
any other  jurisdiction.  With respect to all matters of  Massachusetts  law, we
have  relied upon the opinion of Ropes & Gray,  dated  Novem 25,  1992,  and our
opinion is subject to the same  qualifications  and limitations  with respect to
such matters as are contained in such opinion of Ropes & Gray. We consent to the
filing of this opinion with the Securities and Exchange Commission in connection
with the notice  referred to above.  In giving such  consent,  we do not thereby
admit that we come  within the  category  of persons  whose  consent is required
under Section 7 of the Securities Act of 1933.
                                                               Very truly yours,
                                                            
                                                             SULLIVAN & CROMWELL
                                                             -------------------
                                                             SULLIVAN & CROMWELL




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