SELIGMAN HIGH INCOME FUND SERIES
24F-2NT, 1995-03-07
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                                                               February 22, 1995


             Rule 24f-2 Notice for Seligman High Income Fund Series



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

Attention:  Division of Investment Management
               File No. 2-93076

Dear Sirs:

      Seligman High Income Fund Series 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: December 31, 1994.

    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:
         (a)          High-Yield Bond Series        4,116,301 shares
                      U.S. Government Series        1,720,562 shares
                                                    ---------
                      Total                         5,836,863 shares

    5.   Number  of  shares  sold  during  such  fiscal  year in  reliance  upon
     registration pursuant to Rule 24f-2: 5,836,863


<PAGE>


Securities and Exchange Commission          -2-              February  22, 1995
Division of Investment Management


         A filing fee of $4,292.45 is enclosed as  calculated  on the  following
         page as is the opinion of counsel required by Rule 24f-2.


                               Very truly yours,
                        Seligman High Income Fund Series


                                 Thomas G. Rose
                                 --------------
                                 Thomas G. Rose
                                   Treasurer

    Enclosure
    -------------------------


<PAGE>

Securities and Exchange Commission                       February 22, 1995
Division of Investment Management

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


<TABLE>
<CAPTION>

                                                Fiscal Year Ended
                                                12/31/94


                                                                                                                Total
                                                                                          U.S.                  Fees
                                                High-Yield Bond                    Government Series

                                            Class A     Class D                 Class A      Class D

<S>                                           <C>          <C>                  <C>            <C>               <C>       

Aggregate sales price of shares
  sold pursuant to Rule 24f-2              $18,571,409  $9,179,399           $5,141,770     $6,793,148           N/A 

Aggregate redemption or repurchase
  price of shares redeemed or
  purchased during previous fiscal year    (17,480,191) (1,976,206)          (15,375,460)   (2,645,667)          N/A

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

Total                                       $1,091,218  $7,203,193           ($10,233,690)  $4,147,481           N/A

Fee (Total X .000345)                         $376.47   $2,485.10               $0.00        $1,430.88       $4,292.45




</TABLE>

<PAGE>


                        SELIGMAN HIGH INCOME FUND SERIES

      The  undersigned,  Treasurer  of  Seligman  High Income  Fund  Series,  an
unincorporated  business trust under the laws of Massachusetts  (the "company"),
does hereby certify as follows:
         1. From January 1, 1994 through  December 31, 1994,  the Company issued
     an aggregate of 5,836,863 shares of its Capital Stock, $0.001 par value.

                    High-Yield Bond Series     4,116,301
                    U.S. Government Series     1,720,562

         2. In  respect of the issuance of such  5,836,863  shares,  the Company
     received  aggregate cash  consideration  (net of any sales  commissions) of
     $39,216,861.

                    High-Yield Bond Series     $27,352,167
                    U.S. Government Series      11,864,694

         3. With  respect  to each  share  issued,  the  Company  received  cash
     consideration  not less  than the 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,  $0.001 par
     value, in seperate series.

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

Date:  January 19, 1995
                                                                  Thomas G. Rose
                                                        ------------------------
                                                                  Thomas G. Rose
                                                                       Treasurer



                                     <PAGE>



SULLIVAN & CROMWELL
NEW YORK TELEPHONE: (212) 558-4000
TELEX: 62694 (INTERNATIONAL) 127816 (DOMESTIC)
CABLE ADDRESS: LADYCOURT, NEW YORK
FACSIMILE: (212) 558-3588 (125 Broad Street)
(212) 558-3792 (250 Park Avenue)

                                           125 Broad Street, New York 10004-2498
                                                                      __________
                                            250 PARK AVENUE, NEW YORK 10177-0021
                         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



                                                               February 22, 1995



Seligman High Income Fund Series,
  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 Capital Stock,  $0.001 par value (the  "Shares"),
as follows:  4,116,301  shares of Capital Stock of your  High-Yield  Bond Series
(the  "High-Yield  Bond Shares") and  1,720,562  shares of Capital Stock of your
U.S. Government Series (the "U.S. Government 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 High-Yield Bond Shares and the U.S.
Government  Shares  were  legally  and  validly  issued,  and are fully paid and
non-assessable.

<PAGE>

Seligman High Income Fund Series                                           -2-

     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,  dated  February 26, 1993 of Ropes & Gray, 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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