SCUDDER FUND INC
497J, 1998-10-20
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                                                              October 20, 1998

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

RE:  Scudder Money Market  Series,  Scudder  Government  Money Market Series and
     Scudder Tax Free Money Market Series,  each a series of Scudder Fund,  Inc.
     (Reg. No. 2-78122)  (811-3495) (the "Fund") Post Effective Amendment No. 29
     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. 29 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 October 15, 1998.

         Comments or questions concerning this certificate may be directed to
Greg Pottle at (617) 295-3033.

                                                  Very truly Yours,


                                                  Scudder Fund, Inc.


                                         By:      /s/Thomas F. McDonough
                                                  ----------------------
                                                  Thomas F. McDonough
                                                  Secretary




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