STRONG INCOME FUNDS INC
497J, 1998-01-02
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                      CERTIFICATION OF
                  STRONG INCOME FUNDS, INC.
             on behalf of the following series:
           Strong Short-Term High Yield Bond Fund
                              

STRONG INCOME FUNDS, INC. (the "Registrant") does hereby
certify as follows:

1.    This Certification is made pursuant to Rule 497(j) of
the Securities Act of 1933.

2.    Reference is made to the Strong Short-Term High Yield
Bond Fund's Prospectus and Statement of Additional
Information dated June 30, 1997, as supplemented December
31, 1997, filed by the Registrant pursuant to Post-Effective
Amendment No. 14 (File No. 33-37435; 811-6195), which was
filed with the Securities and Exchange Commission on
December 31, 1997 (the "Post-Effective Amendment").

3.    The Post-Effective Amendment is the most recent post-
effective amendment filed by the Registrant.

4.    The form of Strong Short-Term High Yield Bond Fund's
Prospectus and Statement of Additional Information that
would have been filed under Rule 497(c) of the Securities
Act of 1933 would not have differed from that contained in
the Post-Effective Amendment.

5.   The text of the Post-Effective Amendment has been filed
electronically.

                         STRONG INCOME FUNDS, INC.


                         /s/ John S. Weitzer
                         By:  John S. Weitzer
                         Title:    Vice President


Dated: January 2, 1998






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