May 6, 1994
DREYFUS NEW JERSEY MUNICIPAL MONEY MARKET FUND, INC.
Supplement to the Statement of Additional Information
Dated March 25, 1994
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 on the payment date 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. Shares held under Keogh plans, IRAs or other
retirement plans are not eligible for this privilege.
