SELIGMAN HIGH INCOME FUND SERIES, 497J, 1997-01-03

SELIGMAN HIGH INCOME FUND SERIES
497J, 1997-01-03

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                                                      January 3, 1997






Securities and Exchange Commission
Judiciary Plaza
450 Fifth Street, NW
Washington, DC  20549


Re:      Seligman High Income Fund Series (the 'Fund")
         File Nos. 2-93076 and 811-4103

Dear Sir or Madam:

         Pursuant  to Rule 497(j)  under the  Securities  Act of 1933,  I hereby
certify that the Prospectus for the Seligman U.S. Government  Securities Series,
a series of the Fund, and the Statement of Additional  Information  for the Fund
do not differ from that  contained  in  Post-Effective  Amendment  No. 22 to the
Fund's Registration Statement on Form N-1A, filed electronically on December 31,
1996.

         If you have any  questions,  please do not hesitate to call me at (212)
850-1426.

                                                       Very truly yours,

                                                       /s/  Maureen A. Coleman

                                                       Maureen A. Coleman
                                                       Assistant Vice President,
                                                       Law & Regulation





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