ONE GROUP
497J, 1999-03-23
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                            THE ONE GROUP SERVICES COMPANY

                            111 Polaris Parkway, Suite B2
                              Columbus, Ohio 43271-0211

March 23, 1998

Filing Desk
Securities and Exchange Commission
450 Fifth Street, N.W.
Washington, D.C.  20549

     Re:    One Group Mutual Funds-Registered Trademark- (the "Trust") (File
            No. 2-95973 and 811-4236); on behalf of One Group-Registered 
            Trademark- U.S. Treasury Securities Money Market Fund, One
            Group-Registered Trademark- Prime Money Market Fund, One
            Group-Registered Trademark- Municipal Money Market Fund, One
            Group-Registered Trademark- Ohio Municipal Money Market Fund,
            One Group-Registered Trademark- Michigan Municipal Money Market
            Fund, One Group-Registered Trademark- Government Money Market
            Fund, One Group-Registered Trademark- Treasury Only Money
            Market Fund, One Group-Registered Trademark- Cash Management
            Money Market Fund, One Group-Registered Trademark- Treasury
            Cash Management Money Market Fund, One Group-Registered
            Trademark- Treasury Prime Cash Management Money Market Fund, 
            One Group-Registered Trademark- U.S. Government Cash Management
            Money Market Fund, One Group-Registered Trademark- Municipal
            Cash Management Money Market Fund, One Group-Registered
            Trademark- Diversified Mid Cap Fund, One Group-Registered
            Trademark- Small Cap Value Fund, One Group-Registered
            Trademark- Market Expansion Index Fund, One Group-Registered
            Trademark- Diversified International Fund, One Group-Registered
            Trademark- Equity Income Fund, One Group-Registered Trademark-
            Mid Cap Value Fund, One Group-Registered Trademark- Mid Cap
            Growth Fund, One Group-Registered Trademark- Equity Index Fund,
            One Group-Registered Trademark- Large Cap Value Fund, One
            Group-Registered Trademark- Large Cap Growth Fund, One
            Group-Registered Trademark- Balanced Fund, One Group-Registered
            Trademark- Diversified Equity Fund, One Group-Registered
            Trademark- Small Cap Growth  Fund, One Group-Registered
            Trademark- International  Equity Index Fund, One
            Group-Registered Trademark- Income Bond Fund, One
            Group-Registered Trademark- Ultra Short-Term Bond  Fund, One
            Group-Registered Trademark- Short-Term  Bond Fund, One
            Group-Registered Trademark- Intermediate Bond Fund, One
            Group-Registered Trademark- Government Bond Fund, One
            Group-Registered Trademark- High Yield Bond Fund, One
            Group-Registered Trademark- Treasury & Agency Fund, One
            Group-Registered Trademark- Bond Fund, One Group-Registered
            Trademark- Municipal Income Fund, One Group-Registered
            Trademark- Intermediate Tax-Free Bond Fund, One
            Group-Registered Trademark- Tax-Free Bond Fund, One
            Group-Registered Trademark- Short-Term Municipal Bond Fund, One
            Group-Registered Trademark- Ohio Municipal Bond Fund, One
            Group-Registered Trademark- West Virginia Municipal Bond Fund, 
            One Group-Registered Trademark- Kentucky Municipal Bond Fund, 
            One Group-Registered Trademark- Arizona Municipal Bond Fund, 
            One Group-Registered Trademark- Louisiana Municipal Bond Fund, 
            One Group-Registered Trademark- Michigan Municipal Bond Fund, 
            One Group-Registered Trademark- Investor Growth Fund, One
            Group-Registered Trademark- Investor Growth and Income Fund, 
            One Group-Registered Trademark- Investor Conservative Growth Fund,
            and One Group-Registered Trademark- Investor Balanced Fund;
            Post-Effective Amendment No. 48 to the Registration Statement on
            Form N-1A

Dear Sir or Madam:

                              RULE 497(j) CERTIFICATION

     Pursuant to the requirements of Rule 497(j) under the Securities Act of
1933, the Registrant certifies that the forms of prospectuses and Statement of
Additional Information that would have been filed under Rule 497(c) would not
have differed from that contained in Post-Effective Amendment No. 48 filed on
March 12, 1999, pursuant to Rule 485(b).  The text of Post-Effective Amendment
no. 48 was filed electronically.

                              ONE GROUP MUTUAL FUNDS
                              Registrant

                              /s/ Mark S. Redman
                              -----------------------------
                              Mark S. Redman
                              President





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