SMITH BARNEY SHEARSON CALIFORNIA MUNICIPAL MONEY MARKET FUND
497J, 1994-01-04
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					January 3, 1994



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

ATTN:	Office of Filings, Information and Consumer Services

  RE:	Smith Barney Shearson California Municipal Money Market Fund
	File No. 33-00062 Accession Number:  0000053798-93-000376

Gentlemen:

	Pursuant to Rule 497(j) under the Securities Act of 1933, as amended, 
please accept this letter as certification that the prospectus and statement 
of additional information for the above-referenced fund, as electronically 
transmitted on December 27, 1993, does not differ from that contained in Post-
Effective Amendment No. 12 (the "Amendment") to the Fund's Registration 
Statement on Form N-1A.

	Any comments on this filing should be directed to Anne Ciman, Legal 
Product Manager, at (617) 248-6358.

	Please return an electronic transmittal as evidence of your receipt of 
this filing.

					Very truly yours,


					/s/ Lee D. Augsburger
					Lee D. Augsburger
					Assistant Secretary



funds\govt\497j.doc





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