AMERICAN CENTURY TARGET MATURITIES TRUST
497J, 1998-02-04
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                          American Century Investments
                                4500 Main Street
                             Kansas City, MO 64111

February 4, 1998

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. 28, filed on January 30,
1998 to the issuer's Registration Statement on Form N-1A.

     Any concerns regarding this filing should be directed to the undersigned at
(650) 967-9806.


Sincerely,

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


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