KEMPER FUNDS TRUST
497J, 2000-04-06
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                                                     April 4, 2000

Securities and Exchange Commission
450 Fifth Street, N.W.
Washington, DC  20549

RE:      Kemper S&P 500 Index Fund, a series of Kemper Funds Trust (Reg. No.
         333-65661) (811-09057) (the "Fund") Post Effective Amendment No. 8 to
         Registration Statement on Form N-1A

Ladies and Gentlemen:

         Pursuant to Rule 497(j) under the Securities Act of 1933, as amended,
the Fund hereby certifies that the form of Prospectus and Statement of
Additional Information that would have been filed on behalf of the Fund pursuant
to Rule 497(c) upon the effectiveness of Post-Effective Amendment No. 8 to the
Fund's Registration Statement on Form N-1A (the "Amendment") does not differ
from that contained in the Amendment, which is the most recent amendment to such
Registration Statement and was filed electronically on March 31, 2000.

         Comments or questions concerning this certificate may be directed to
Lauren Giudice at (617) 295-2560.

                                                      Very truly Yours,


                                                      Kemper S&P 500 Index Fund


                                               By:    /s/Caroline Pearson
                                                      -------------------
                                                      Caroline Pearson
                                                      Assistant Secretary




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