STRONG INCOME FUNDS INC
497J, 1997-07-02
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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 each dated June 30, 1997 
filed by the Registrant pursuant to Post-Effective Amendment No. 13 (File No.  
33-37435; 811-6195), which was filed with the Securities and Exchange 
Commission on June 27, 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: July 2, 1997



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