STRONG INCOME FUNDS INC
497J, 1999-03-05
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                                CERTIFICATION OF                                
                           STRONG INCOME FUNDS, INC.                            
                       ON BEHALF OF THE FOLLOWING SERIES:                       
                          STRONG HIGH-YIELD BOND FUND                           
                     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 High-Yield Bond and Strong Short-Term    
High Yield Bond Funds' Prospectus and Statement of Additional Information each  
dated March 1, 1999 filed by the Registrant pursuant to Post-Effective          
Amendment No. 17 (File No. 33-37435; 811-6195), which was filed with the        
Securities and Exchange Commission on February 26, 1999 (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 High-Yield Bond and Strong Short-Term 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: March 5, 1999                                                            




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