FIDELITY CONCORD STREET TRUST
497J, 1998-04-22
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FIDELITY (LOGO) INVESTMENTS(registered trademark)  FMR Corp.               
                                                   82 Devonshire Street    
                                                   Boston, MA  02109-3614  
                                                   (617) 563-7000          
 
                    April 22, 1998  
                                    
                                    
                                    
                                    
 
Securities and Exchange Commission
Judiciary Plaza
450 Fifth Street, N.W.
Washington, D.C.  20549
Attention:  File Room                                     
 
                                                          
 
Re:         Fidelity Concord Street Trust (the trust):    
 
            Fidelity U.S. Bond Index Fund                 
            Spartan U.S. Equity Index Fund                
            Spartan Total Market Index Fund               
            Spartan Extended Market Index Fund            
            Spartan International Index Fund (the funds)  
 
            File Nos. (33-15983) and (811-5251)           
 
_____________________________________________________________________
____
Ladies and Gentlemen:
 Transmitted herewith pursuant to Rule 497(j) under the Securities Act
of 1933 is certification that the Prospectuses and Statements of
Additional Information with respect to the above referenced funds do
not differ from those filed in the most recent post-effective
amendment, which was filed electronically.
                    Very truly yours,  
 
                                       
 
                                       
 
                                       
 
                    /s/Eric D. Roiter  
                       Eric D. Roiter  
                       Secretary       
 
                                       
 



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