SELIGMAN HIGH INCOME FUND SERIES
497, 1995-05-30
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    Supplement, dated May 25, 1995, to the Prospectus, dated May 1, 1995, of
                 Seligman High-Income Fund Series (the "Fund")

         The Fund may invest up to 10% of its total assets (taken at cost),  but
not  more  than  15%  of its  net  assets,  in  illiquid  securities,  including
restricted   securities  (i.e.,   securities  not  readily   marketable  without
registration  under the  Securities  Act of 1933  (the  "1933  Act"))  and other
securities  that are not readily  marketable.  The Fund may purchase  restricted
securities  that can be offered  and sold to  "qualified  institutional  buyers"
under  Rule  144A of the  1933  Act,  and the  Fund's  Board  of  Directors  may
determine,  when appropriate,  that specific Rule 144A securities are liquid and
not subject to the limitation on illiquid securities. The Board of Directors may
also delegate the  responsibilities  of  determining  the liquidity of Rule 144A
securities to the Manager.  Should such a  determination  be made,  the security
will be carefully monitored (focusing on such factors,  among others, as trading
activity  and  availability  of  information)  to  determine  that the Rule 144A
security  continues to be liquid.  It is not possible to predict with  assurance
exactly how the market for restricted securities offered and sold under Rule 144
A will develop. This investment practice could have the effect of increasing the
level of  illiquidity  in the Fund to the extent  that  qualified  institutional
buyers become for a time uninterested in purchasing Rule 144A securities.

TXS-5/95




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