STRONG INCOME FUNDS INC
497J, 1996-07-03
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                        CERTIFICATION OF
                    STRONG INCOME FUNDS, INC.
               on behalf of the following series:
                 Strong U.S. Treasury Money Fund
                   Strong 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 U.S. Treasury Money and Strong High-Yield
Bond Funds' Prospectus and Statement of Additional Information each dated  
March 1, 1996 as supplemented on June 28, 1996 filed by the Registrant
pursuant to Post-Effective Amendment No. 10 (File No.  33-37435; 811-6195),  
which was filed with the Securities and Exchange Commission on June 26, 1996 
(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 U.S. Treasury Money and Strong High-Yield Bond Funds'  
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 3, 1996



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