SELIGMAN HIGH INCOME FUND SERIES
24F-2NT, 1998-03-27
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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

Read instructions at end of Form before preparing Form.  Please print or type.

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

2.       The name of each series of class of securities for which this Form is
 filed (If the Form is being filed for all series and classes of securities of
 the issuer, check the box but do not list series or classes):  [     X      ]


3.       Investment Company Act File Number:         811-4103

         Securities Act File Number:                          2-93076

4(a).    Last day of fiscal year for which this notice is filed:       12/31/97

4(b).    Check box if this Form is being filed late (i.e. more than 90 calendar
          days after the end of the issuer's fiscal year).(See Instruction A.2)
                                                              [              ]

         Note: If the Form is being filed late, interest must be paid on the
           registration fee due.

4(c).    Check box if this is the last time the issuer will be filing this Form.
                                                              [              ]

<TABLE>
<CAPTION>
<S>                                                                             <C>
5.       Calculation of registration fee:
 
         (i)      Aggregate sale price of securities sold during
                  the fiscal year pursuant  to section 24 (f):                  $ 1,389,856,128

         (ii)     Aggregate price of securities redeemed or
                  repurchased during the fiscal year:                           $ 391,263,819

         (iii)    Aggregate price of securities redeemed or
                  repurchased during any PRIOR fiscal year
                  ending no earlier than October 11, 1995
                  that were not previously used to reduce
                  registration fees payable to the Commission:                  $ -0-

         (iv)     Total available redemption credits (add
                  Items 5(ii) and 5(iii):                                       $ 391,263,819

         (v)      Net Sales - if Item 5(i) is greater than                      $ 998,592,309
                  Item 5(iv), subtract Item 5(iv) from
                  Item 5(I):

 
(vi)     Redemption credits available for use in
         future years (If Item 5(i) is less than
         Item 5(iv), subtract Item 5(iv) from
         Item 5(i):                                                             $ -0-

(vii)    Multiplier for determining registration
         fee (See Instruction C.9):                                             x  .000295

(viii)   Registration fee due (multiply Item 5(v)
         by Item 5(vii) (enter "0" if no fee is due):                           $ 294,584.73

</TABLE>

6.       If the response to item 5(I) was determined by deducting an amount of
         securities that were registered under the Securities Act of 1933
         pursuant to rule 24e-2 in effect before October 11, 1997, then report
         the amount of securities (number of shares or other units)
           deducted here:      [  - 0 -  ]

         If there is a number of shares or other units that were registered
      pursuant to rule 24e-2 remaining unsold at the end of the fiscal year for
         which this form is filed that are available for use by the issuer in
         future fiscal years, then state that number here:         [  - 0 -  ]

7.       Interest due -- if this form is being filed more than 90 days after
         the end of the issuer's fiscal year (see Instruction D):      $ -0-

8.       Total of the amount of the registration fee due plus any interest
         due (line 5(viii) plus line 7):                        $ 294,584.73

9.       Date the registration fee and interest payment was sent to the
         Commission's lockbox depository:                          3/27/98

         Method of delivery         [  X  ]Wire Transfer
                                    [       ]Mail or other means

                                                              SIGNATURES

This report has been signed below by the following person on behalf of
the issuer and in the capacity and on the date indicated.

By (Signature and Title)

                                                                  /S/
                                                            Thomas G. Rose
                                                               Treasurer
Date: March 27, 1998





<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, 1997 through December 31, 1997, the Company
 issued an aggregate of 187,905,123 shares of its Capital Stock, $0.001
 par value.
               High-Yield Series                      182,705,281
               U.S. Government Series                   5,199,842

         2.       In respect of the issuance of such 187,905,132 shares, the
 Company received aggregate cash consideration (net of any sales commissions)
 of $1,380,672,151.
               
               High-Yield Series                     1,345,506,695
               U.S. Government Series                   35,165,456

         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:    March 23, 1998
                                         _________/S/_______________
                                            Thomas G. Rose
                                               Treasurer





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