SELIGMAN HIGH INCOME FUND SERIES
497, 1996-12-30
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   Supplement, dated January 1, 1997, to the Prospectus, dated April 22, 1996
                                       of
                         SELIGMAN HIGH-YIELD BOND SERIES
                                   a series of
                        Seligman High Income Fund Series


         The  Statement of  Additional  Information  ("SAI") for  Seligman  High
Income  Fund  Series  (the  "Fund") is dated  January 1, 1997.  The SAI has been
updated  to  reflect  the  offering  of  Class B  shares  of the  Seligman  U.S.
Government Securities Series, the other series of the Fund.

         Copies  of  the   Statement  of   Additional   Information,   which  is
incorporated by reference into this  Prospectus,  may be obtained without charge
by calling or writing the Fund at the telephone  numbers or address set forth on
the cover page of this Prospectus.


TXHYS5-1/97






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