SELIGMAN HIGH INCOME FUND SERIES
497, 1998-07-08
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       Supplement, dated July 8, 1998, to the prospectus, dated May 1, 1998
                                       of
           Seligman U.S. Government Securities Series (the "Series")


      Effective   immediately,   the  following   supersedes  and  replaces  the
information contained in the first paragraph set forth in the Series' prospectus
under "Management Services--Portfolio Management."

        Gary S. Zeltzer, who joined the Manager as Senior Vice President, 
Manager Taxable  Fixed  Income in  March  1998,  is  Portfolio Manager of the 
Series.  Mr.  Zeltzer  is also  Portfolio  Manager of  Seligman Cash  Management
Fund,  Inc. and the Seligman  Cash  Management  Portfolio and Seligman  Bond
Portfolio  of Seligman  Portfolios,  Inc.  Prior to joining the Manager,  Mr. 
Zeltzer  was a Group Vice  President  and  Portfolio  Manager at Schroder 
Capital Management from July 1979 to March 1998.


TXUSGS1-7/98






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