[Logo]  COLUMBIA MANAGEMENT GROUP              Legal Department
                                               Mail Stop:  MA DE 11511E
                                               One Financial Center
        A FleetBoston Financial Company        Boston, MA 02111
                                               617 345.0919 fax


August 4, 2004

VIA EDGAR
Securities and Exchange Commission
Judiciary Plaza
450 Fifth Street, N.W.
Washington, D.C. 20549

Re:       Columbia Funds Trust II (formerly known as Liberty Funds Trust II)
          Columbia Money Market Fund (formerly known as Liberty
           Money Market Fund) (the "Fund")
          File Nos. 2-66976 & 811-3009
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Ladies and Gentlemen:

Pursuant to the requirements of Rule 497(j) under the Securities Act of 1933, as
amended,  please accept this letter as  certification  that the Prospectuses and
Statement of Additional Information dated August 1, 2004 for the Fund do
not differ from those contained in  Post-Effective  Amendment No. 64 (Amendment)
to the Fund's Registration  Statement on Form N-1A.  The  Amendment  was filed
electronically on July 29, 2004 (Accession Number: 0000021847-04-000182).

The Fund's Prospectuses and Statement of Additional Information dated August
1, 2004, are now being used in connection  with the public  offering and sale of
shares of the Fund.

Very truly yours,




/s/TRACY S. DIRIENZO
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   Tracy DiRienzo
   Assistant Secretary