SELIGMAN HIGH INCOME FUND SERIES
24F-2NT, 1997-02-20
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                     U.S. SECURITIES AND EXCHANGE COMMISSION

                             Washington, D.C. 20549


                                   FORM 24F-2
                        Annual Notice of Securities Sold
                             Pursuant to Rule 24f-2



1.      Name and address of issuer:         Seligman High Income Fund Series
                                            100 Park Avenue
                                            New York, NY 10017

2.      Name of each series or class of funds for which this notice is filed:

        Seligman High-Yield Bond Series - Class A
        Seligman High-Yield Bond Series - Class B
        Seligman High-Yield Bond Series - Class D
        Seligman U.S. Government Series - Class A
        Seligman U.S. Government Series - Class D

3.      Investment Company Act File Number:                            811-4103

        Securities Act File Number:                                     2-93076


4.      Last day of fiscal year for which this notice is filed:        12/31/96


5.     Check box if this  notice  is being  filed  more than 180 days  after the
       close of the issuer's  fiscal year for  purposes of reporting  securities
       sold after the close of the fiscal  year but  before  termination  of the
       issuer's 24f-2 declaration:
                                                                       [      ]


6.      Date of termination of issuer's declaration under rule 24f-2(a)(1),
        if applicable:


7.     Number and  amount of  securities  of the same class or series  which had
       been  registered  under the Securities Act of 1933 other than pursuant to
       rule  24f-2 in a prior  fiscal  year,  but which  remained  unsold at the
       beginning of the fiscal year:


8.     Number and amount of securities registered during the fiscal year other
       than pursuant to rule 24f-2:


9.      Number and aggregate sale price of securities sold during the fiscal
        year:

        SHARES      SALE PRICE
    98,403,776     704,848,060


<PAGE>





Securities and Exchange Commission                            February 20, 1997
Division of Investment Management
                                       -2-

10. Number and aggregate sale price of securities sold during the fiscal year in
reliance upon registration pursuant to rule 24f-2:

        SHARES      SALE PRICE
    98,430,776     704,848,060

11.    Number and aggregate  sale price of  securities  issued during the fiscal
       year in connection with dividend reinvestment plans, if applicable:
       SHARES       SALE PRICE
    3,702,752       26,204,123
12.     Calculation of registration fee:
<TABLE>
<CAPTION>
<S>                                                                                     <C>

        (i)    Aggregate sale price of securities sold during the fiscal year in
               reliance on rule 24f-2 (from Item 10):                                      $    704,848,060

        (ii)   Aggregate price of shares issued in connection with dividend
               reinvestment plans (from Item 11):                                          +     26,204,123

        (iii)  Aggregate price of shares redeemed or repurchased during the fiscal year
               (if applicable):                                                            -    197,098,341

        (iv)   Aggregate price of shares redeemed or repurchased and previously applied
               as a reduction to filing fees pursuant to rule 24e-2 (if applicable):      +               0

        (v)    Net  aggregate  price of  securities  sold and issued  during the
               fiscal year in reliance on rule 24f-2 { line (i), plus line (ii),
               less line (iii), 533,953,842 plus line (iv)}

        (vi)    Multiplier prescribed by Section 6(b) of the Securities Act of 1933 or
                other applicable law or regulation:                                        x       0.000345

        (vii)   Fee due {line (i) or line (v) multiplied by line (vi)}:
                                                                                           $     184,214.08
</TABLE>

13.    Check box if fees are being remitted to the Commission's lockbox 
       depository as described in section 3a of the Commission's
       Rules of Informal and Other Procedures (17 CFR 202.3a).         [      ]

        Date of  mailing or wire  transfer  of filing  fees to the  Commission's
lockbox depository:

                                                              February 19, 1997
                                   SIGNATURES

       This report has been signed below by the  following  persons on behalf of
       the issuer and in the capacities and on the dates indicated.

        By (Signature and Title)

                                 Thomas G. Rose
                                    Treasurer
Date:   February 20, 1997

                        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, 1996 through December 31, 1996, the Company issued an
aggregate of 102,106,528 shares of its Capital Stock, $0.001 par value.
High-Yield Series                      99,550,543
U.S. Government Series                  2,555,985

        2.     In respect of the issuance of such 102,106,528 shares, the
Company received aggregate cash consideration (net of any sales commissions)
of $724,788,901.
High-Yield Series                     707,788,901
U.S. Government Series                 17,299,109

        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 separate series.

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

Date:   January 24, 1997

                                                       /s/---------------------
                                                                 Thomas G. Rose
                                                                      Treasurer






                                                             February 18, 1997



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:  99,550,543  shares of Capital Stock of your  High-Yield
Bond Series (the "High-Yield Bond Shares") and 2,555,985 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.
                  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 27, 1996 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



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