AMERICAN CENTURY TARGET MATURITIES TRUST, 497J, 1997-01-08

AMERICAN CENTURY TARGET MATURITIES TRUST
497J, 1997-01-08

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                          American Century Investments
                                4500 Main Street
                             Kansas City, MO 64111

                                                                 January 8, 1997


Securities and Exchange Commission 
450 Fifth Street, N.W. 
Washington, DC 20549 
     
RE:  American Century Target Maturities Trust
     1933 Act File No. 2-94608
     1940 Act File No. 811-4165

Ladies and Gentlemen: 

     Pursuant to Rule 497(j) under the Securities Act of 1933, as amended, the
undersigned hereby certifies that the form of prospectus and statement of
additional information that would have been filed under paragraph (b) or (c) of
Rule 497 with respect to the above-referenced issuer would not have differed
from that contained in Post-Effective Amendment No. 26, filed December 24, 1996,
to the issuer's Registration Statement on Form N-1A.

     Any concerns regarding this filing should be directed to the undersigned at
(415) 967-9806.


Sincerely,

/s/Lisa S. Brown
Lisa S. Brown
Federal Securities Administrator