DREYFUS NEW JERSEY MUNICIPAL MONEY MARKET FUND INC
N-30D, 1999-04-01
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YEAR 2000 ISSUES (UNAUDITED)

  The  fund  could  be  adversely  affected  if the computer systems used by The
Dreyfus  Corporation  and  the  fund' s  other service providers do not properly
process  and  calculate date-related information from and after January 1, 2000.
The  Dreyfus  Corporation  is working to avoid Year 2000-related problems in its
systems  and  to  obtain  assurances  from other service providers that they are
taking  similar  steps.  In  addition,  issuers  of securities in which the fund
invests may be adversely affected by Year 2000-related problems. This could have
an impact on the value of the fund's investments and its share price.

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
12-month  period  ended  January  31, 1999. Your Fund produced a yield of 2.65%,
and,  after taking into account the effect of compounding, an effective yield of
2.69%.*

ECONOMIC REVIEW

  The  U.S. economy remained strong in 1998 in spite of economic turmoil in Asia
and  Russia.  There  were two main reasons: First, consumer spending was strong,
backed  by  healthy  real wage and salary income and the wealth effect from high
asset  prices.  Second,  technology  spending  was  quite strong even as capital
spending in the older industries showed signs of cooling late in the year.

  The  Fed  stood  pat  with  an unchanged Federal Funds rate for the first nine
months  of  1998,  but  began to ease rates on September 30. The trigger for its
doing so was a financial crisis brought on by defaults. Despite the fact that an
International Monetary Fund program was in place, Russia defaulted in midsummer.
As the prices of illiquid assets owned by leveraged hedge funds, brokerage firms
and  banks  dropped  sharply, fear in financial circles escalated. The Fed broke
the momentum of financial stress by easing rates on three successive occasions.

The period of financial crisis was brief enough that little damage was done to
the  U.S.  economy  in  1998, as yet another year of above-trend economic growth
with quiescent inflation was recorded.

The U.S. and Continental Europe experienced both good results and bad from the
Asian  financial  crisis. In this country, the housing and consumer sectors were
beneficiaries,  while the industrial sector was weakened by the Asian recession.
Low inflation permitted credit to ease in both Europe and the U.S.

  In  1998,  the  global  economy  survived a triple financial crisis focused on
Japan,   on   emerging   market   countries   and  on  hyperleveraged  financial
institutions.  Overseas, excess capacity persists in many industries after years
of  high  capital  spending  followed  by the onset of weakness in world demand.
Fortunately,  the  U.S.  has  led  the  world  in making the transition from the
traditional  industries  to  the  new  growth  industries such as biotechnology,
software,   hardware  and  the  Internet.  This  contributed  to  the  favorable
combination  of  a  low  unemployment  rate  and  low  inflation  in the U.S., a
performance  which  has strengthened the forces for more efficient allocation of
capital  elsewhere  in  the  world. As 1999 began, the U.S. economy continued to
exhibit surprising strength.

MARKET ENVIRONMENT/PORTFOLIO FOCUS

  Throughout  the  Fall,  the  short-term municipal market continued to feel the
effects  of  the diminished supply of new issuance during the summer months. The
overall  lack of availability of suitable investments in the one-year range held
yields  down  for  most  of the period. As a result of the relatively flat yield
curve  that  existed,  we  utilized  the  commercial  paper market as a means of
locking  in attractive rates in the 60- to 90-day range without having to extend
out a full year.

  As  year-end  approached,  we were poised to take advantage of seasonal market
weakness  and  extend  the  Fund' s average maturity when possible. However, the
short-term  municipal market's weakness in late December was slight and afforded
us  less  opportunity than in prior years. This, coupled with the lack of supply
of  high-quality  New  Jersey-exempt  paper,  hindered our ability to extend the
Fund' s average maturity. When possible, we selectively purchased one-year notes
issued  by  New  Jersey municipalities, which provided competitive market yields
and which met the high standards required by our internal investment guidelines.
We will continue to search for comparable one-year investment opportunities that
will lock in higher rates while providing an attractive return to the tax-exempt
investor.  As  always, we will structure the portfolio in an attempt to maximize
current  yield  while  maintaining  our  commitment  to  high quality tax-exempt
investments.

               Very truly yours,


               [Richard J. Moynihan signature]


               Richard J. Moynihan

               Director, Municipal Portfolio Management

               The Dreyfus Corporation

February 18, 1999

New York, N.Y.

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

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

STATEMENT OF INVESTMENTS                                     JANUARY 31, 1999

                                                                                                  Principal
Tax Exempt Investments--96.6%                                                                      Amount            Value
- -------------------------------------------------------                                         _____________     _____________
<S>                                                                                            <C>               <C>
New Jersey--91.9%

Atlantic County Improvement Authority, Revenue, VRDN

  (Aces Pooled Government Loan Program) 2.30% (LOC; Krediet Bank) (a)  . . . . . . . . . .     $    4,800,000    $    4,800,000

Burlington County, BAN:

  4%, Series A, 6/11/99  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          6,000,000         6,007,414

  4%, Series B, 6/11/99  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         17,000,000        17,019,854

  3.25%, 11/4/99 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          8,929,500         8,944,187

Essex County Improvement Authority, Revenue, VRDN:

  (Aces Pooled Government Loan Program) 2.45% (LOC; Banco Santander) (a) . . . . . . . . .         14,200,000        14,200,000

  (County Asset Sale Project)

    2.80% (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)

  2.60% (LOC; Comerica Bank) (a) . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         16,240,000        16,240,000

Monmouth County Improvement Authority, Revenue, VRDN

  (Aces Pooled Government Loan Program) 2.35% (LOC; Union Bank of Switzerland) (a) . . . .         23,000,000        23,000,000

New Jersey Economic Development Authority:

  SWDR (Newark Recycling) 3%, 6/15/99 (LOC; Societe Generale)  . . . . . . . . . . . . . .         15,000,000        15,000,000

  VRDN:

    Dock Facility Revenue, Refunding (Bayonne/Imtt Project)

       3.15%, Series A (LOC; First Chicago Corp.) (a). . . . . . . . . . . . . . . . . . .          4,800,000         4,800,000

    EDR:

       (Exit 8A Limited Partnership Project) 2.65% (LOC; European American Bank) (a) . . .          6,000,000         6,000,000

       (Merck and Co. Inc.) 3.20%, Series A (a)  . . . . . . . . . . . . . . . . . . . . .          1,000,000         1,000,000

       Refunding:

         (Foreign Trade Zone Project) 2.90% (LOC; Morgan Guaranty Trust Co.) (a) . . . . .          3,400,000         3,400,000

         (Hartz & Rex Associates) 2.825%, Series B (LOC; Citibank) (a) . . . . . . . . . .          2,000,000         2,000,000

       (White Horse Pike Limited Project) 2.95% (Corp. Guaranty; Household Finance Corp.) (a)  .    7,600,000         7,600,000

    Mortgage Facilities Revenue (Rennoc Corp. Project)

       3.05% (LOC; Philadelphia National Bank) (a) . . . . . . . . . . . . . . . . . . . .          3,705,000         3,705,000

    PCR, Refunding:

       (Hoffman La Roche Inc.) 2.85% (LOC; Wachovia Bank of Georgia) (a) . . . . . . . . .         20,000,000        20,000,000

       (Public Service Electric and Gas Co.)

         2.35%, 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, Revenue, VRDN

 (Hospital Capital Asset Financing):

    2.45%, Series A (LOC; Chase Manhattan Bank) (a)  . . . . . . . . . . . . . . . . . . .         13,200,000        13,200,000

    2.45%, Series D (LOC; Chase Manhattan Bank) (a)  . . . . . . . . . . . . . . . . . . .         10,000,000        10,000,000

New Jersey Sports and Exposition Authority, State Contract, VRDN

  2.50%, Series C (Insured; MBIA and Liquidity Facility; Credit Suisse) (a)  . . . . . . .         22,310,000        22,310,000

New Jersey Turnpike Authority, Turnpike Revenue, Refunding, VRDN

  2.45%, 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

 (Versatile Structure Obligation):

    3.20%, Series 2 (LOC; Morgan Guaranty Trust Co.) (a) . . . . . . . . . . . . . . . . .          4,250,000         4,250,000

    3.15%, Series 3 (SBPA; Morgan Guaranty Trust Co.) (a)  . . . . . . . . . . . . . . . .          4,000,000         4,000,000

    3.15%, Series 5 (Liquidity Facility; Bayerische Landesbank) (a)  . . . . . . . . . . .         12,700,000        12,700,000

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

STATEMENT OF INVESTMENTS (CONTINUED)                         JANUARY 31, 1999
                                                                                                  Principal

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

New Jersey (continued)

Port Authority of New York and New Jersey, Special Obligation Revenue, VRDN
(continued)

 (Versatile Structure Obligation) (continued):

    3.25%, Series 4 (LOC; Landesbank Hessen) (a) . . . . . . . . . . . . . . . . . . . . .      $  18,350,000     $  18,350,000

    3.25%, Series 6 (Liquidity Facility; Bank of Nova Scotia) (a)  . . . . . . . . . . . .         21,900,000        21,900,000

South Jersey Transportation Authority, BAN

  2.95%, 11/3/99 (LOC; First Union National Bank of North Carolina)  . . . . . . . . . . .         20,000,000        20,000,000

State of New Jersey, CP, Series A:

  3.35%, 2/17/99 (Liquidity Facility: Bank of Nova Scotia and Commerzbank) . . . . . . . .         27,000,000        27,000,000

  3.35%, 4/8/99 (Liquidity Facility: Bank of Nova Scotia and Commerzbank)  . . . . . . . .         10,000,000        10,000,000

Township of Woodbridge, BAN 4%, 7/1/99 . . . . . . . . . . . . . . . . . . . . . . . . . .         33,000,000        33,058,857

U.S. Related--4.7%

Commonwealth of Puerto Rico Government Development Bank, Refunding, VRDN

  2.35% (Insured; MBIA and Liquidity Facility; Credit Suisse) (a)  . . . . . . . . . . . .         22,100,000        22,100,000

                                                                                                                  _____________

TOTAL INVESTMENTS (cost $458,785,312). . . . . . . . . . . . . . . . . . . . . . . . . . .              96.6%      $458,785,312
                                                                                                      _______     _____________

CASH AND RECEIVABLES (NET) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .               3.4%     $  16,260,787
                                                                                                      _______     _____________

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .             100.0%      $475,046,099
                                                                                                      _______     _____________

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

AMBAC       American Municipal Bond Assurance Corporation           MBIA        Municipal Bond Investors Assurance

BAN         Bond Anticipation Notes                                                Insurance Corporation

CP          Commercial Paper                                        PCR         Pollution Control Revenue

EDR         Economic Development Revenue                            SBPA        Standby Bond Purchase Agreement

FGIC        Financial Guaranty Insurance Company                    SWDR        Solid Waste Disposal Revenue

LOC         Letter of Credit                                        VRDN        Variable Rate Demand Notes

Summary of Combined Ratings (Unaudited)
- -----------------------------------------------------------------------------

Fitch                or            Moody's             or            Standard & Poor's              Percentage of Value

_______                            _________                         ___________________            _____________________

F1+/F1                             VMIG1/MIG1,P1                     SP1+/SP1, A1+/A1                     85.3%

Not Rated (b)                      Not Rated (b)                     Not Rated (b)                        14.7

                                                                                                        _______

                                                                                                         100.0%

                                                                                                        _______


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

(a) Securities payable  on demand. Variable interest rate--subject to periodic
    change.

(b) 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.

(c) At January  31,  1999,  the Fund has $123,850,000 (26.1% of net assets) in
    securities whose payment of principal and interest is dependent upon
    revenues generated from transportation projects.

                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>

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

STATEMENT OF ASSETS AND LIABILITIES                          JANUARY 31, 1999

                                                                                                    Cost             Value
                                                                                                _____________     _____________
<S>                                                                                              <C>               <C>
ASSETS:                          Investments in securities--See Statement of Investments . .     $458,785,312      $458,785,312

                                 Cash  . . . . . . . . . . . . . . . . . . . . . . . . . .                            1,186,985

                                 Receivable for investment securities sold . . . . . . . .                           12,153,945

                                 Interest receivable . . . . . . . . . . . . . . . . . . .                            3,213,454

                                 Prepaid expenses and other assets . . . . . . . . . . . .                               22,284

                                                                                                                  _____________

                                                                                                                    475,361,980

                                                                                                                  _____________

LIABILITIES:                     Due to The Dreyfus Corporation and affiliates . . . . . .                              237,221

                                 Accrued expenses  . . . . . . . . . . . . . . . . . . . .                               78,660

                                                                                                                  _____________

                                                                                                                        315,881

                                                                                                                  _____________

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                         $475,046,099

                                                                                                                  _____________


REPRESENTED BY:                  Paid-in capital . . . . . . . . . . . . . . . . . . . . .                         $475,288,420

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

                                                                                                                  _____________

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                         $475,046,099

                                                                                                                  _____________

SHARES OUTSTANDING

(2 billion shares of $.001 par value Common Stock authorized). . . . . . . . . . . . . . .                          475,288,420

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                           YEAR ENDED JANUARY 31, 1999

INVESTMENT INCOME
<S>                                                                                              <C>                <C>
INCOME                           Interest Income . . . . . . . . . . . . . . . . . . . . .                          $16,395,835

EXPENSES:                        Management fee--Note 2(a) . . . . . . . . . . . . . . . .       $  2,469,709

                                 Shareholder servicing costs--Note 2(b)  . . . . . . . . .            633,924

                                 Professional fees . . . . . . . . . . . . . . . . . . . .             52,037

                                 Custodian fees  . . . . . . . . . . . . . . . . . . . . .             51,763

                                 Directors' fees and expenses--Note 2(c) . . . . . . . . .             39,921

                                 Prospectus and shareholders' reports  . . . . . . . . . .             16,647

                                 Registration fees . . . . . . . . . . . . . . . . . . . .             11,264

                                 Miscellaneous . . . . . . . . . . . . . . . . . . . . . .              9,891

                                                                                                 ____________

                                    Net Expenses . . . . . . . . . . . . . . . . . . . . .                            3,285,156
                                                                                                                   ____________

INVESTMENT INCOME--NET . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                           13,110,679

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

                                                                                                                   ____________

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS . . . . . . . . . . . . . . . . . . .                          $13,047,707

                                                                                                                   ____________

                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>

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

STATEMENT OF CHANGES IN NET ASSETS

                                                      Year Ended   Year Ended

                                                                                          January 31, 1999   January 31, 1998
                                                                                           ________________  _________________
<S>                                                                                         <C>                <C>
OPERATIONS:

  Investment income--net . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        $   13,110,679     $   15,688,191

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

    NET INCREASE (DECREASE) IN NET ASSETS RESULTING FROM OPERATIONS  . . . . . . . .            13,047,707         15,671,460
                                                                                             _____________      _____________

DIVIDENDS TO SHAREHOLDERS FROM:

    INVESTMENT INCOME--NET . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           (13,110,679)       (15,688,191)
                                                                                             _____________      _____________

CAPITAL STOCK TRANSACTIONS ($1.00 per share):

  Net proceeds from shares sold  . . . . . . . . . . . . . . . . . . . . . . . . . .           674,108,432        608,741,936

  Dividends reinvested . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .            11,791,866         14,106,775

  Cost of shares redeemed  . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          (737,057,088)      (657,825,855)
                                                                                             _____________      _____________

    INCREASE (DECREASE) IN NET ASSETS FROM CAPITAL STOCK TRANSACTIONS  . . . . . . .           (51,156,790)       (34,977,144)
                                                                                             _____________      _____________

       TOTAL INCREASE (DECREASE) IN NET ASSETS . . . . . . . . . . . . . . . . . . .           (51,219,762)       (34,993,875)

NET ASSETS:

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

  End of Period  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         $ 475,046,099      $ 526,265,861
                                                                                             _____________      _____________

                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>

DRYFUS 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.


                                                                                      Year Ended January 31,
                                                                        ______________________________________________________

PER SHARE DATA:                                                    1999          1998         1997         1996         1995
                                                                    ______       ______        ______       ______       ______
<S>                                                                <C>          <C>           <C>          <C>          <C>
   Net asset value, beginning of period  . . . . . . . . . .       $  1.00      $  1.00       $  1.00      $  1.00      $  1.00
                                                                    ______       ______        ______       ______       ______

   Investment Operations:

   Investment income--net  . . . . . . . . . . . . . . . . .          .027         .029          .027         .032         .025
                                                                    ______       ______        ______       ______       ______

   Distributions:

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

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


TOTAL INVESTMENT RETURN. . . . . . . . . . . . . . . . . . .          2.69%        2.96%         2.75%        3.25%        2.55%

RATIOS/SUPPLEMENTAL DATA:

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

   Ratio of net investment income to

       average net assets  . . . . . . . . . . . . . . . . .          2.65%        2.92%         2.71%        3.21%        2.52%

   Decrease reflected in above expense ratios

       due to undertakings by the Manager  . . . . . . . . .            --           --            --          .06%         .22%

   Net Assets, end of period (000's Omitted) . . . . . . . .       $475,046     $526,266      $561,260     $647,557     $772,913

                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

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

NOTES TO FINANCIAL STATEMENTS

NOTE 1--SIGNIFICANT ACCOUNTING POLICIES:

   Dreyfus  New  Jersey  Municipal  Money  Market  Fund,  Inc.  (the  "Fund") is
registered  under the Investment Company Act of 1940, as amended (the "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 (the
" 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, 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 custody agreement, the Fund
received  net  earnings  credits  of $38,348 during the period ended January 31,
1999  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 of 1986, as
amended (the "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 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 $242,000
available  for  Federal  income  tax  purposes  to be applied against future net
securities  profits,  if  any,  realized  subsequent to January 31, 1999. 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, $17,000 expires in fiscal 2006 and $63,000 expires in
fiscal 2007.

   At  January 31, 1999, 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).

DREYFUS NEW JERSEY MUNICIPAL MONEY MARKET FUND, INC.
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NOTES TO FINANCIAL STATEMENTS (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
January  31, 1999, the Fund was charged an aggregate of $343,852 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  January  31, 1999, the Fund was charged $196,770 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.


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

REPORT OF ERNST & YOUNG LLP, INDEPENDENT AUDITORS

SHAREHOLDERS AND BOARD OF DIRECTORS

DREYFUS NEW JERSEY MUNICIPAL MONEY MARKET FUND, INC.

   We  have  audited  the  accompanying  statement  of assets and liabilities of
Dreyfus New Jersey Municipal Money Market Fund, Inc., including the statement of
investments, as of January 31, 1999, and the related statement of operations for
the  year then ended, the statement of changes in net assets for each of the two
years  in  the period then ended, and financial highlights for each of the years
indicated  therein.  These financial statements and financial highlights are the
responsibility  of  the  Fund' s management. Our responsibility is to express an
opinion  on  these  financial  statements  and financial highlights based on our
audits.

   We  conducted  our  audits  in  accordance  with  generally accepted auditing
standards.  Those standards require that we plan and perform the audit to obtain
reasonable  assurance  about  whether  the  financial  statements  and financial
highlights  are free of material misstatement. An audit includes examining, on a
test  basis,  evidence  supporting  the amounts and disclosures in the financial
statements and the financial highlights. Our procedures included confirmation of
securities owned as of January 31, 1999 by correspondence with the custodian. An
audit  also  includes  assessing  the accounting principles used and significant
estimates  made  by  management,  as  well  as  evaluating the overall financial
statement  presentation.  We  believe that our audits provide a reasonable basis
for our opinion.

In our opinion, the financial statements and financial highlights referred to
above  present  fairly,  in  all  material  respects,  the financial position of
Dreyfus  New  Jersey  Municipal Money Market Fund, Inc. at January 31, 1999, the
results of its operations for the year then ended, the changes in its net assets
for each of the two years in the period then ended, and the financial highlights
for  each  of  the  indicated  years,  in  conformity  with  generally  accepted
accounting principles.





New York, New York

March 4, 1999



DREYFUS NEW JERSEY MUNICIPAL MONEY MARKET FUND, INC.
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IMPORTANT TAX INFORMATION (UNAUDITED)

   In  accordance  with  Federal  tax  law,  the  Fund hereby designates all the
dividends  paid  from investment income-net during the fiscal year ended January
31, 1999 as "exempt-interest dividends" (not subject to regular Federal and, for
individuals who are New Jersey residents, New Jersey personal income taxes).

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                                   [reg.tm logo]

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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.                                              758AR991

New Jersey

Municipal Money

Market Fund, Inc.

Annual Report

January 31, 1999



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