June 1, 1994
GENERAL CALIFORNIA MUNICIPAL
MONEY MARKET FUND
SUPPLEMENT TO PROSPECTUS DATED DECEMBER 1, 1993
Effective June 1, 1994, the Fund's Service Plan has been terminated. The
Fund will continue to bear directly the costs of preparing and printing
prospectuses and statements of additional information used for regulatory
purposes and for distribution to existing shareholders. The Dreyfus
Corporation may pay Dreyfus Service Corporation for shareholder and
distribution services from The Dreyfus Corporation's assets, including
past profits but not including the management fee paid by the Fund.
Dreyfus Service Corporation may use part or all of such payments to pay
securities dealers or others in respect of these services.
573/stkr060194
June 1, 1994
GENERAL CALIFORNIA MUNICIPAL MONEY MARKET FUND
Supplement to Statement of Additional Information
Dated December 1, 1993
Effective June 1, 1994, the Fund's Service Plan has
been terminated. The Fund will continue to bear directly the
costs of preparing and printing prospectuses and statements of
additional information used for regulatory purposes and for
distribution to existing shareholders. The Dreyfus Corporation
may pay Dreyfus Service Corporation for shareholder and
distribution services from The Dreyfus Corporation's assets,
including past profits but not including the management fee paid
by the Fund. Dreyfus Service Corporation may use part or all of
such payments to pay securities dealers or others in respect of
these services.
The following information supplements and should be read in
conjunction with the section of the Fund's Statement of
Additional Information entitled "Shareholder Services":
Dreyfus Dividend ACH. Dreyfus Dividend ACH permits a
shareholder to transfer electronically their dividends or
dividends and capital gains, if any, from the Fund to a
designated bank account. Only an account maintained at a
domestic financial institution which is an Automated Clearing
House member may be so designated. Banks may charge a fee for
this service. For more information concerning Dreyfus Dividend
ACH, or to request a Dividend Options form, please call toll free
1-800-645-6561. You may cancel this privilege by mailing written
notification to The Dreyfus Family of Funds, P.O. Box 9671,
Providence, Rhode Island 02940-9671. Enrollment or cancellation
is effective three business days following receipt. This
privilege is available only for existing accounts. The Fund may
modify or terminate this privilege at any time or charge a
service fee. No such fee is currently contemplated.
The following information supplements and supersedes any
contrary information contained in the section in the Fund's
Statement of Additional Information captioned "Redemption of Fund
Shares--Redemption by Wire or Telephone" and describes a new
telephone redemption privilege:
Wire Redemption Privilege. An investor may request by wire or
telephone that redemption proceeds (minimum $1,000) be wired to
the investor's account at a bank which is a member of the Federal
Reserve System, or a correspondent bank if the investor's bank is
not a member. An investor may direct that redemption proceeds be
paid by check (maximum $150,000 per day) made out to the owners
of record and mailed to the investor's address. Redemption
proceeds of less than $1,000 will be paid automatically by check.
Holders of jointly registered Fund or bank accounts may have
redemption proceeds of only up to $250,000 wired within any 30-
day period. The Fund reserves the right to refuse any redemption
request, including requests made shortly after a change of
address, and may limit the amount involved or the number of such
requests.
Telephone Redemption Privilege. An investor may redeem Fund
shares (maximum $150,000 per day) by telephone if the investor
has checked the appropriate box on the Fund's Account Application
or has filed an Optional Services Form with the Transfer Agent.
The redemption proceeds will be paid by check and mailed to the
investor's address. An investor may telephone redemption
instructions by calling 1-800-221-4060 or, if the investor is
calling from overseas, 1-401-455-3306. The Fund reserves the
right to refuse any request made by telephone, including requests
made shortly after a change of address, and may limit the amount
involved or the number of telephone redemption requests. This
Privilege may be modified or terminated at any time by the
Transfer Agent or the Fund. Shares held under Keogh Plans, IRAs
or other retirement plans, and shares for which certificates have
been issued, are not eligible for this Privilege.
