DREYFUS NEW JERSEY MUNICIPAL MONEY MARKET FUND INC
N-30D, 1998-09-30
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DREYFUS NEW JERSEY MUNICIPAL MONEY MARKET FUND, INC.
- -----------------------------------------------------------------------------

LETTER TO SHAREHOLDERS

Dear    Shareholder:

  We  are  pleased  to  report  the performance for Dreyfus New Jersey Municipal
Money  Market Fund, Inc. for the six-month period ended July 31, 1998. Your Fund
produced  an annualized yield of 2.77% and, after taking into account the effect
of compounding, the annualized effective yield was 2.81%.*

The Economy

After growing at a rather heady pace of 5.5% during the first quarter of 1998,
the  U.S.  economy,  as  measured by Gross Domestic Product (GDP), appears to be
slowing  down.  During  the second quarter, numerous signs of weakness appeared.
These  included  slower growth in personal income and corporate profits, reduced
export  bookings,  a  dramatic  drop  in  inventory  stockpiling, a rising trade
deficit,  and  a  slide  in manufacturing orders as evidenced by declines in the
National  Association  of  Purchasing Manager's Index for both June and July. On
the other hand, consumer spending, business investment, and housing construction
all  moved  higher.  On balance, however, weakness largely overcame strength, as
the GDP grew just 1.4% during the second quarter of 1998.

  As  economic growth appeared to downshift at least temporarily, core inflation
(which  excludes  volatile food and energy prices) edged a bit higher toward the
end  of  the  period. Wages and benefits paid to Americans also accelerated over
the  past  year,  fueling  concerns that these gains, coupled with extremely low
unemployment  and  tight  labor  markets,  could push up inflation in the months
ahead.  Indeed  on  July  21,  1998,  Federal  Reserve Board (Fed) Chairman Alan
Greenspan  told  the  Senate  Banking  Committee that while the Asian crisis and
other  factors  may  restrain consumer and business spending enough "to foster a
reasonably  smooth transition to a more sustainable rate of growth," the risk of
a  pickup  in inflation still outweighs the danger of a slump. Interest rates on
money  market  securities  were  virtually  unchanged  since  early 1998. Market
participants,  meanwhile,  await developments both global and domestic which may
have  an  effect on rate levels: included in those events would be any change in
Fed monetary policy which may be forthcoming.

Market Environment/Portfolio Overview

  While  the  Federal Reserve has kept interest rates unchanged for the past six
months,   market  technicals  nevertheless  created  fluctuations  in  rates  on
short-term municipal securities. During the first weeks of January the municipal
money  market  was  particularly  strong due to large cash inflows, although the
market remained in a trading range throughout most of the first quarter of 1998.
However,  in  April,  money  funds  were tapped for income tax payments, placing
upward pressure on rates as funds experienced redemptions.  Supply conditions in
late  May  reversed this trend as municipal fund managers anticipated the effect
of  several billion dollars in notes leaving the market at the end of June. July
brought  stability  back  to  the market as new supply eased the demand pressure
that had existed.

  Unlike  previous  summer  financing periods, this year's calendar of municipal
notes  (consisting mainly of California-exempt paper) was drastically reduced by
a  combination  of  factors.  Due  to the strength of local and state economies,
several issuers reduced the amount of short-term borrowing needed. Additionally,
many  issuers  came  to  market  with maturities outside of the 13-month maximum
maturity  restriction  allowable  for  money  funds,  whereas  these  notes were
eligible for purchase in prior years. Other issues were converted to a synthetic
structure that is not currently permitted for purchase in your Fund. The overall
result  was  a  lower  yield  for  most  one-year paper, both national and state
specific.  While we did participate in the one-year market when attractive yield
opportunities became available, we often utilized the commercial paper market to
keep  average  maturities from shortening significantly. As the fall approaches,
we  anticipate additional buying opportunities in the New Jersey note market. We
expect  to  choose selectively among these issues and to structure the portfolio
in an attempt to maximize current yield while maintaining our commitment to high
quality tax-exempt investments.

  Included  in  this report is a series of detailed statements about your Fund's
holdings  and its financial condition. We hope they are informative. Please know
that  we  appreciate  greatly  your continued confidence in this Fund and in The
Dreyfus Corporation.

               Very truly yours,


               [Richard J. Moynihan signature logo]



               Richard J. Moynihan

               Director, Municipal Portfolio Management

               The Dreyfus Corporation

August 18, 1998

New York, N.Y.

*  Annualized  effective  yield  is  based  upon  dividends  declared  daily and
reinvested monthly.



<TABLE>

DREYFUS NEW JERSEY MUNICIPAL MONEY MARKET FUND, INC.
- -----------------------------------------------------------------------------

STATEMENT OF INVESTMENTS                            JULY 31, 1998 (UNAUDITED)

                                                                                                  Principal

Tax Exempt Investments--97.6%                                                                      Amount             Value
- -------------------------------------------------------
                                                                                                _____________     _____________

New Jersey--93.0%

Atlantic County Improvement Authority, Revenue, VRDN

<S>                                                                                            <C>               <C>
  (Aces Pooled Government Loan Program) 3.15% (LOC; Krediet Bank) (a,b)  . . . . . . . . .     $    4,800,000    $    4,800,000

Burlington County, BAN:

  4%, Series A, 6/11/99  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          6,000,000         6,017,908

  4%, Series B, 6/11/99  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         17,000,000        17,047,954

Township of East Brunswick, BAN 4%, 1/7/99 . . . . . . . . . . . . . . . . . . . . . . . .         15,782,200        15,805,369

Essex County Improvement Authority, Revenue, VRDN:

 (Aces Pooled Government Loan Program)

    3% (LOC; Banco Santander) (a,b)  . . . . . . . . . . . . . . . . . . . . . . . . . . .         14,200,000        14,200,000

  (County Asset Sale Project)

    3.20% (Insured; AMBAC and Liquidity Facility; Morgan Guaranty Trust Co.) (a) . . . . .         10,000,000        10,000,000

Hudson County Improvement Authority, VRDN (Essential Purpose Pooled Government
Loan)

  3.50% (LOC: Comerica Bank and Fuji Bank) (a,b) . . . . . . . . . . . . . . . . . . . . .         16,240,000        16,240,000

Jersey City, BAN 4.25%, 1/15/99. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          6,500,000         6,513,790

Monmouth County Improvement Authority, Revenue, VRDN

  (Aces Pooled Government Loan Program) 3.20% (LOC; Union Bank of Switzerland) (a,b) . . .         23,000,000        23,000,000

New Jersey Economic Development Authority:

 SWDR (Disposal Facility Newark Recycling)

    3.95%, 12/15/98 (LOC; Societe Generale) (b)  . . . . . . . . . . . . . . . . . . . . .         18,000,000        18,000,000

  VRDN:

    EDR:

       (Black Horse Pike Limited Project)

         3.95% (Corp. Guaranty; Household Finance Corp.) (a) . . . . . . . . . . . . . . .          5,400,000         5,400,000

       (Exit 8A Limited Partnership Project)

         3.50% (LOC; Bank of Tokyo-Mitsubishi) (a,b) . . . . . . . . . . . . . . . . . . .          6,000,000         6,000,000

       (Merck and Co. Inc.) 4%, Series A (a) . . . . . . . . . . . . . . . . . . . . . . .          1,000,000         1,000,000

       Refunding (Hartz and Rex Associates)

         3.625%, Series B (LOC; Citibank) (a,b)  . . . . . . . . . . . . . . . . . . . . .          2,000,000         2,000,000

       (White Horse Pike Limited Project)

         3.75% (Corp. Guaranty; Household Finance Corp.) (a) . . . . . . . . . . . . . . .          7,600,000         7,600,000

    Mortgage Facilities Revenue

       (Rennoc Corp) 3.75% (LOC; Philadelphia National Bank) (a,b) . . . . . . . . . . . .          3,905,000         3,905,000

    PCR, Refunding:

       (Hoffman La Roche Project)

         3.55% (LOC; Wachovia Bank of Georgia) (a,b) . . . . . . . . . . . . . . . . . . .         20,000,000        20,000,000

       (Public Service Electric and Gas Co.)

         3.05%, Series A

         (Insured; MBIA and Liquidity Facility; Union Bank of Switzerland) (a) . . . . . .         13,300,000        13,300,000

New Jersey Health Care Facilities Financing Authority, VRDN

 (Hospital Capital Asset Financing):

    3.35%, Series A (LOC; Chase Manhattan Bank) (a,b)  . . . . . . . . . . . . . . . . . .         13,200,000        13,200,000

    3.35%, Series D (LOC; Chase Manhattan Bank) (a,b)  . . . . . . . . . . . . . . . . . .         10,000,000        10,000,000

New Jersey Sports and Exposition Authority, State Contract, VRDN

  3.25%, Series C (Insured; MBIA and Liquidity Facility; Credit Suisse) (a)  . . . . . . .         34,800,000        34,800,000


DREYFUS NEW JERSEY MUNICIPAL MONEY MARKET FUND, INC.
- -----------------------------------------------------------------------------

STATEMENT OF INVESTMENTS (CONTINUED)                JULY 31, 1998 (UNAUDITED)

                                                                                                  Principal

Tax Exempt Investments (continued)                                                                 Amount             Value
- -------------------------------------------------------
                                                                                                _____________     _____________

New Jersey (continued)

New Jersey Turnpike Authority, Turnpike Revenue, Refunding, VRDN

  3.15%, Series D (Insured; FGIC and Liquidity Facility; Societe Generale) (a) . . . . . .      $  62,900,000     $  62,900,000

Port Authority of New York and New Jersey, Special Obligation Revenue, VRDN:

    3.70%, Series 2 (a)  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          5,688,000         5,688,000

    (Versatile Structure Obligation):

    3.75%, Series 2 (LOC; Morgan Guaranty Trust Co.) (a,b) . . . . . . . . . . . . . . . .          6,500,000         6,500,000

    3.70%, Series 3 (Liquidity Facility; Morgan Guaranty Trust Co.) (a)  . . . . . . . . .         23,900,000        23,900,000

    3.70%, Series 5 (Liquidity Facility; Bayerische Landesbank) (a)  . . . . . . . . . . .         44,200,000        44,200,000

    3.80%, Series 6 (Liquidity Facility; Bank of Nova Scotia) (a)  . . . . . . . . . . . .         16,800,000        16,800,000

Township of Woodbridge, BAN 4%, 7/1/99 . . . . . . . . . . . . . . . . . . . . . . . . . .         33,000,000        33,131,056

U.S. Related--4.6%

Commonwealth of Puerto Rico, Government Development Bank, VRDN, Refunding

  3.20%, (Insured; MBIA and Liquidity Facility; Credit Suisse) (a) . . . . . . . . . . . .         22,100,000        22,100,000

                                                                                                                  _____________

TOTAL INVESTMENTS (cost $464,049,077). . . . . . . . . . . . . . . . . . . . . . . . . . .              97.6%      $464,049,077

                                                                                                      =======     =============


CASH AND RECEIVABLES (NET) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .               2.4%     $  11,374,368

                                                                                                      =======     =============

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .             100.0%     $ 475,423,445

                                                                                                      =======     =============

Summary of Abbreviations
- -----------------------------------------------------------------------------

AMBAC       American Municipal Bond Assurance Corporation           MBIA        Municipal Bond Investors Assurance

BAN         Bond Anticipation Notes                                                Insurance Corporation

EDR         Economic Development Revenue                            PCR         Pollution Control Revenue

FGIC        Financial Guaranty Insurance Company                    SWDR        Solid Waste Disposal Revenue

LOC         Letter of Credit                                        VRDN        Variable Rate Demand Notes

Summary of Combined Ratings
- -----------------------------------------------------------------------------

Fitch (c)            or            Moody's             or            Standard & Poor's              Percentage of Value

_______                            ________                          ________________               __________________

F1+/F1                             VMIG1/MIG1                        SP1+/SP1, A1+/A1                    82.7%

Not Rated (d)                      Not Rated d)                      Not Rated (d)                        17.3

                                                                                                        _______

                                                                                                        100.0%

                                                                                                        =======


Notes to Statement of Investments:
- -----------------------------------------------------------------------------

(a) Securities  payable  on  demand.  The  interest  rate,  which is subject to
    change, is based upon bank prime rates or an index  of market interest
    rates.

(b) Secured  by  letters  of  credit. At July 31, 1998, 29.0% of the Fund's
    net assets  are  backed  by  letters of credit issued by domestic banks and
    foreign banks.

(c) Fitch  currently provides creditworthiness information for a limited number
    of investments.

(d) Securities  which,  while not rated by Fitch, Moody's and Standard & Poor's
    have  been determined by the Manager to be of comparable quality to those
    rated securities in which the Fund may invest.

(e) At  July  31,  1998,  the  Fund  has  $121,788,000 (25.6% of net assets) in
    securities  whose payment of prinicipal and interest is dependent upon
    revenues generated from transportation.

                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

<TABLE>
DREYFUS NEW JERSEY MUNICIPAL MONEY MARKET FUND, INC.
- -----------------------------------------------------------------------------

STATEMENT OF ASSETS AND LIABILITIES                 JULY 31, 1998 (UNAUDITED)

                                                                                                    Cost             Value

                                                                                                _____________     _____________

<S>                                                                                              <C>               <C>
ASSETS:                          Investments in securities--See Statement of Investments . .     $464,049,077      $464,049,077

                                 Cash  . . . . . . . . . . . . . . . . . . . . . . . . . .                            6,902,156

                                 Interest receivable . . . . . . . . . . . . . . . . . . .                            2,735,077

                                 Receivable for investment securities sold . . . . . . . .                            2,000,000

                                 Prepaid expenses and other assets . . . . . . . . . . . .                               35,367

                                                                                                                  _____________

                                                                                                                    475,721,677

                                                                                                                  _____________

LIABILITIES:                     Due to The Dreyfus Corporation and affiliates . . . . . .                              221,370

                                 Accrued expenses  . . . . . . . . . . . . . . . . . . . .                               76,862

                                                                                                                  _____________

                                                                                                                        298,232

                                                                                                                  _____________

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                         $475,423,445

                                                                                                                  =============


REPRESENTED BY:                  Paid-in capital . . . . . . . . . . . . . . . . . . . . .                         $475,665,766

                                 Accumulated net realized gain (loss) on investments . . .                             (242,321)

                                                                                                                  _____________

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                         $475,423,445

                                                                                                                  =============

SHARES OUTSTANDING

(2 BILLION SHARES OF $.001 PAR VALUE COMMON STOCK AUTHORIZED). . . . . . . . . . . . . . .                          475,665,766

NET ASSET VALUE, offering and redemption price per share . . . . . . . . . . . . . . . . .                                $1.00

                                                                                                                          =====


                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

<TABLE>
DREYFUS NEW JERSEY MUNICIPAL MONEY MARKET FUND, INC.
- -----------------------------------------------------------------------------

STATEMENT OF OPERATIONS            SIX MONTHS ENDED JULY 31, 1998 (UNAUDITED)

INVESTMENT INCOME

<S>                                                                                                <C>                  <C>
INCOME                      Interest Income  . . . . . . . . . . . . . . . . . . . . . . .                           $8,645,263

EXPENSES:                   Management fee--Note 2(a)  . . . . . . . . . . . . . . . . . .         $1,255,929

                            Shareholder servicing costs--Note 2(b) . . . . . . . . . . . .            342,432

                            Custodian fees . . . . . . . . . . . . . . . . . . . . . . . .             25,641

                            Professional fees  . . . . . . . . . . . . . . . . . . . . . .             24,109

                            Directors' fees and expenses--Note 2(c)  . . . . . . . . . . .             20,349

                            Prospectus and shareholders' reports . . . . . . . . . . . . .              6,861

                            Registration fees  . . . . . . . . . . . . . . . . . . . . . .              5,433

                            Miscellaneous  . . . . . . . . . . . . . . . . . . . . . . . .              5,116

                                                                                                  ___________

                                Net Expenses . . . . . . . . . . . . . . . . . . . . . . .                            1,685,870

                                                                                                                    ___________

INVESTMENT INCOME--NET . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                            6,959,393

NET REALIZED GAIN (LOSS) ON INVESTMENTS--Note 1(b) . . . . . . . . . . . . . . . . . . . .                              (62,972)

                                                                                                                    ___________

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS . . . . . . . . . . . . . . . . . . .                           $6,896,421

                                                                                                                    ===========


                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

<TABLE>
DREYFUS NEW JERSEY MUNICIPAL MONEY MARKET FUND, INC.
- -----------------------------------------------------------------------------

STATEMENT OF CHANGES IN NET ASSETS

                                                                                           Six Months Ended

                                                                                            July 31, 1998       Year Ended

                                                                                             (Unaudited)     January 31, 1998

                                                                                           ________________   ________________

OPERATIONS:

<S>                                                                                        <C>                  <C>
  Investment income--net . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .   $     6,959,393      $   15,688,191

  Net realized gain (loss) on investments  . . . . . . . . . . . . . . . . . . . . . . .           (62,972)            (16,731)

                                                                                            ______________      ______________

    Net Increase (Decrease) in Net Assets Resulting from Operations  . . . . . . . . . .         6,896,421          15,671,460

                                                                                            ______________      ______________

DIVIDENDS TO SHAREHOLDERS FROM:

  Investment income--net . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        (6,959,393)        (15,688,191)

                                                                                            ______________      ______________

CAPITAL STOCK TRANSACTIONS ($1.00 per share):

  Net proceeds from shares sold  . . . . . . . . . . . . . . . . . . . . . . . . . . . .       368,252,443         608,741,936

  Dividends reinvested . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         6,253,829          14,106,775

  Cost of shares redeemed  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      (425,285,716)       (657,825,855)

                                                                                            ______________      ______________

    Increase (Decrease) in Net Assets from Capital Stock Transactions  . . . . . . . . .       (50,779,444)        (34,977,144)

                                                                                            ______________      ______________

       Total Increase (Decrease) in Net Assets . . . . . . . . . . . . . . . . . . . . .       (50,842,416)        (34,993,875)

NET ASSETS:

  Beginning of Period  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .       526,265,861         561,259,736

                                                                                            ______________      ______________

  End of Period  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .     $ 475,423,445       $ 526,265,861

                                                                                            ==============      ==============


                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

<TABLE>
DREYFUS NEW JERSEY MUNICIPAL MONEY MARKET FUND, INC.
- -----------------------------------------------------------------------------

FINANCIAL HIGHLIGHTS

  Contained  below is per share operating performance data for a share of Common
Stock  outstanding,  total  investment  return, ratios to average net assets and
other  supplemental  data  for  each period indicated. This information has been
derived from the Fund's financial statements.


                                                Six Months Ended

                                                 July 31, 1998                          Year Ended January 31,

                                                                     ____________________________________________________________


                                                  (Unaudited)          1998        1997         1996        1995        1994

                                                  __________         ______       ______      ______       ______      ______

<S>                                                <C>             <C>          <C>          <C>         <C>          <C>
PER SHARE DATA:

   Net asset value, beginning of period  . . .     $  1.00          $  1.00      $  1.00     $  1.00     $  1.00      $  1.00

                                                    ______           ______       ______      ______       ______      ______

   Investment Operations:

   Investment income--net  . . . . . . . . . .        .014             .029         .027        .032        .025         .021

                                                    ______           ______       ______      ______       ______      ______

   Distributions:

   Dividends from investment income--net . . .       (.014)           (.029)       (.027)      (.032)      (.025)       (.021)

                                                    ______           ______       ______      ______       ______      ______

   Net asset value, end of period  . . . . . .     $  1.00          $  1.00      $  1.00     $  1.00     $  1.00      $  1.00

                                                    ======           ======       ======      ======       ======      ======

TOTAL INVESTMENT RETURN. . . . . . . . . . . .        2.78%*           2.96%        2.75%       3.25%        2.55%       2.12%

RATIOS/SUPPLEMENTAL DATA:

   Ratio of expenses to average net assets . .         .67%*            .64%         .65%        .59%         .42%        .35%

   Ratio of net investment income to
       average net assets  . . . . . . . . . .        2.77%*           2.92%        2.71%       3.21%       2.52%        2.10%

   Decrease reflected in above expense ratios
       due to undertakings by the Manager  . .          --               --           --         .06%        .22%         .30%

   Net Assets, end of period (000's Omitted) .    $475,423         $526,266     $561,260    $647,557    $772,913     $778,236
- -----------------------------

*  Annualized

                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>



DREYFUS NEW JERSEY MUNICIPAL MONEY MARKET FUND, INC.
- -----------------------------------------------------------------------------

NOTES TO FINANCIAL STATEMENTS (UNAUDITED)

NOTE 1--SIGNIFICANT ACCOUNTING POLICIES:

  Dreyfus  New  Jersey  Municipal  Money  Market  Fund,  Inc.  (the  "Fund" ) is
registered under the Investment Company Act of 1940 ("Act") as a non-diversified
open-end  management  investment  company. The Fund's investment objective is to
provide investors with as high a level of current income exempt from Federal and
New  Jersey  income  taxes as is consistent with the preservation of capital and
the  maintenance of liquidity. The Dreyfus Corporation ("Manager") serves as the
Fund' s  investment  adviser. The Manager is a direct subsidiary of Mellon Bank,
N.A. Premier Mutual Fund Services, Inc. is the distributor of the Fund's shares,
which are sold to the public without a sales charge.

  It  is the Fund's policy to maintain a continuous net asset value per share of
$1.00; the Fund has adopted certain investment, portfolio valuation and dividend
and distribution policies to enable it to do so. There is no assurance, however,
that  the  Fund  will  be able to maintain a stable net asset value per share of
$1.00.

  The  Fund' s  financial  statements  are prepared in accordance with generally
accepted accounting principles which may require the use of management estimates
and assumptions. Actual results could differ from those estimates.

  (A)  PORTFOLIO  VALUATION:  Investments  in securities are valued at amortized
cost,  which  has  been determined by the Fund's Board of Directors to represent
the fair value of the Fund's investments.

(B) SECURITIES TRANSACTIONS AND INVESTMENT INCOME: Securities transactions are
recorded  on  a  trade date basis. Interest income, adjusted for amortization of
premiums  and original issue discounts on investments, is earned from settlement
date and recognized on the accrual basis. Realized gain and loss from securities
transactions  are  recorded on the identified cost basis. Under the terms of the
custodian  agreement, the Fund received net earnings credits of $15,572 based on
available cash balances left on deposit. Income earned under this arrangement is
included in interest income.

  The  Fund  follows  an  investment  policy of investing primarily in municipal
obligations  of  one  state. Economic changes affecting the state and certain of
its  public  bodies  and municipalities may affect the ability of issuers within
the  state to pay interest on, or repay principal of, municipal obligations held
by the Fund.

  (C)  DIVIDENDS  TO  SHAREHOLDERS:  It  is  the  policy  of the Fund to declare
dividends  daily  from  investment  income-net. Such dividends are paid monthly.
Dividends from net realized capital gain, if any, are normally declared and paid
annually, but the Fund may make distributions on a more frequent basis to comply
with  the  distribution requirements of the Internal Revenue Code. To the extent
that  net  realized capital gain can be offset by capital loss carryovers, it is
the policy of the Fund not to distribute such gain.

  (D)  FEDERAL INCOME TAXES: It is the policy of the Fund to continue to qualify
as a regulated investment company, which can distribute tax exempt dividends, by
complying  with  the  applicable provisions of the Internal Revenue Code, and to
make distributions of income and net realized capital gain sufficient to relieve
it from substantially all Federal income and excise taxes.

  The  Fund  has  an  unused  capital  loss  carryover of approximately $179,000
available  for  Federal  income  tax  purposes  to be applied against future net
securities  profits,  if  any,  realized  subsequent to January 31, 1998. If not
applied,  $900 of the carryover expires in fiscal 2000, $2,300 expires in fiscal
2002,  $39,800  expires  in fiscal 2003, $115,000 expires in fiscal 2004, $4,000
expires in fiscal 2005 and $17,000 expires in fiscal 2006.

  At  July 31, 1998, the cost of investments for Federal income tax purposes was
substantially  the  same  as  the cost for financial reporting purposes (see the
Statement of Investments).

<PAGE>


DREYFUS NEW JERSEY MUNICIPAL MONEY MARKET FUND, INC.
- -----------------------------------------------------------------------------

NOTES TO FINANCIAL STATEMENTS (UNAUDITED) (CONTINUED)

NOTE 2--MANAGEMENT FEE AND OTHER TRANSACTIONS WITH AFFILIATES:

(A) Pursuant to a management agreement with the Manager, the management fee is
computed at the annual rate of
 . 50  of  1%  of the value of the Fund's average daily net assets and is payable
monthly.

  (B)  Under  the Shareholder Services Plan, the Fund reimburses Dreyfus Service
Corporation,  a  wholly-owned subsidiary of the Manager, an amount not to exceed
an  annual rate of .25 of 1% of the value of the Fund's average daily net assets
for certain allocated expenses of providing personal services and/or maintaining
shareholder  accounts.  The  services  provided  may  include  personal services
relating  to  shareholder  accounts,  such  as  answering  shareholder inquiries
regarding  the  Fund  and  providing reports and other information, and services
related to the maintenance of shareholder accounts. During the period ended July
31,  1998,  the  Fund  was charged $185,960 pursuant to the Shareholder Services
Plan.

  The  Fund compensates Dreyfus Transfer, Inc., a wholly owned subsidiary of the
Manager,  under  a  transfer  agency  agreement,  for  providing  personnel  and
facilities  to  perform transfer agency services for the Fund. During the period
ended  July  31,  1998,  the  Fund was charged $100,242 pursuant to the transfer
agency agreement.

  (C)  Each  director  who  is  not an "affiliated person" as defined in the Act
receives from the Fund an annual fee of $2,500 and an attendance fee of $500 per
meeting.  The  Chairman  of  the  Board  receives  an  additional  25%  of  such
compensation.

<PAGE>

dreyfus lion "d" logo                                   (reg.tm)

dreyfus logo                                   (reg.tm)

DREYFUS NEW JERSEY

MUNICIPAL MONEY MARKET FUND, INC.

200 Park Avenue

New York, NY 10166

MANAGER

The Dreyfus Corporation

200 Park Avenue

New York, NY 10166

CUSTODIAN

The Bank of New York

90 Washington Street

New York, NY 10286

TRANSFER AGENT &

DIVIDEND DISBURSING AGENT

Dreyfus Transfer, Inc.

P.O. Box 9671

Providence, RI 02940










Printed in U.S.A.                                              758SA987

New Jersey

Municipal Money

Market Fund, Inc.

Semi-Annual

Report

July 31, 1998





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