SELIGMAN INCOME FUND INC
497J, 2000-05-01
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                             J. & W. SELIGMAN & CO.
                                  Incorporated





                                                     May 1, 2000


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

Re:      Seligman Income Fund, Inc. (the "Fund")
         Post-Effective Amendment No. 79
         File No. 2-10837 and 811-525

Dear Sir or Madam:

Pursuant to Rule 497(j) under the  Securities Act of 1933, I hereby certify that
the  Prospectus  and  Statement of Additional  Information  that would have been
filed   pursuant  to  Rule  497(c)  does  not  differ  from  that  contained  in
Post-Effective  Amendment  No. 79 to the Fund's  Registration  Statement on Form
N-1A filed  electronically  with the Securities and Exchange Commission on April
28, 2000.

If you have any questions, please do not hesitate to call me at (212) 850-1375.


                                                     Very truly yours,

                                                     /s/Jennifer G. Muzzey

                                                     Jennifer G. Muzzey
                                                     Legal Assistant
                                                     Law & Regulation

JGM/jgm



             100 Park Avenue New York, New York 10017 (212) 850-1864



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