UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549


                                   FORM N-CSR

              CERTIFIED SHAREHOLDER REPORT OF REGISTERED MANAGEMENT
                              INVESTMENT COMPANIES

                  Investment Company Act file number 811-5527

              DREYFUS NEW JERSEY MUNICIPAL MONEY MARKET FUND, INC.
               (Exact name of Registrant as specified in charter)


                           c/o The Dreyfus Corporation
                                 200 Park Avenue
                            New York, New York 10166
               (Address of principal executive offices) (Zip code)

                              Mark N. Jacobs, Esq.
                                 200 Park Avenue
                            New York, New York 10166
                     (Name and address of agent for service)

Registrant's telephone number, including     (212) 922-6000
area code:

Date of fiscal year end:  January 31


Date of reporting period: July 31, 2003



(PAGE)



                                  FORM N-CSR

ITEM 1.  REPORTS TO STOCKHOLDERS.

      Dreyfus New Jersey
      Municipal Money Market
      Fund, Inc.

      SEMIANNUAL REPORT July 31, 2003

      YOU, YOUR ADVISOR AND
      DREYFUS
      A MELLON FINANCIAL COMPANY(TM)


The  views  expressed in this report reflect those of the portfolio manager only
through the end of the period covered and do not necessarily represent the views
of  Dreyfus  or any other person in the Dreyfus organization. Any such views are
subject  to change at any time based upon market or other conditions and Dreyfus
disclaims any responsibility to update such views. These views may not be relied
on as investment advice and, because investment decisions for a Dreyfus fund are
based  on  numerous  factors,  may  not be relied on as an indication of trading
intent on behalf of any Dreyfus fund.

            Not FDIC-Insured * Not Bank-Guaranteed * May Lose Value


                                 Contents

                                 THE FUND
- --------------------------------------------------

                             2   Letter from the Chairman

                             3   Discussion of Fund Performance

                             6   Statement of Investments

                            13   Statement of Assets and Liabilities

                            14   Statement of Operations

                            15   Statement of Changes in Net Assets

                            16   Financial Highlights

                            17   Notes to Financial Statements

                                 FOR MORE INFORMATION
- --------------------------------------------------------------------------------

                                 Back Cover

                                                                        The Fund

                                                              Dreyfus New Jersey
                                               Municipal Money Market Fund, Inc.

LETTER FROM THE CHAIRMAN

Dear Shareholder:

This  semiannual report for Dreyfus New Jersey Municipal Money Market Fund, Inc.
covers  the  six-month  period  from  February  1,  2003, through July 31, 2003.
Inside,  you'll find valuable information about how the fund was managed during
the  reporting period, including a discussion with the fund's portfolio manager,
Joseph Irace.

The  reporting  period was a challenging time for tax-exempt money market funds.
In  its  ongoing  attempts  to  stimulate  renewed  economic growth, the Federal
Reserve  Board  reduced  a key short-term interest rate to just 1% in June 2003,
and  yields  of tax-exempt money market funds hovered near historical lows. As a
result,  maintaining  a steady stream of current, tax-exempt income has become a
challenge for many investors.

Nonetheless,  we  believe  that  it  is important for investors to remember that
tax-exempt  money market funds have continued to achieve their primary objective
of  preserving  their  shareholders'  capital.  For emergency reserves and money
earmarked for near-term needs, we believe that money market funds remain a sound
investment.  Your financial advisor may be in the best position to recommend the
income strategies that are right for you in today's market environment.

Thank you for your continued confidence and support.

Sincerely,


/S/STEPHEN E. CANTER
Stephen E. Canter
Chairman and Chief Executive Officer
The Dreyfus Corporation
August 15, 2003




DISCUSSION OF FUND PERFORMANCE

Joseph Irace, Portfolio Manager

HOW DID DREYFUS NEW JERSEY MUNICIPAL MONEY MARKET FUND, INC. PERFORM DURING THE
PERIOD?

For  the  six-month  period ended July 31, 2003, the fund produced an annualized
yield  of  0.52% . Taking  into  account  the  effects  of compounding, the fund
produced an annualized effective yield of 0.52%.(1)

During  the  reporting  period  we  attribute  the  fund's modest returns to the
Federal  Reserve  Board' s  (the  "Fed" ) accommodative  monetary  policy, which
included  a  further  reduction  of  short-term  interest  rates  in  June 2003

WHAT IS THE FUND'S INVESTMENT APPROACH?

The  fund' s  objective is to seek as high a level of current income exempt from
federal and New Jersey state income taxes as is consistent with the preservation
of  capital  and the maintenance of liquidity. The fund also seeks to maintain a
stable  $1.00  share  price.  To  pursue  this  goal,  the fund normally invests
substantially   all   of   its  assets  in  short-term,  high-quality  municipal
obligations  that provide income exempt from federal and New Jersey state income
taxes.

When  pursuing the fund's objective, we employ two primary strategies. First, we
attempt  to  add  value  by constructing a portfolio of high-quality, tax-exempt
money  market  municipal obligations that provide income exempt from federal and
New  Jersey  state  income  taxes. Second, we actively manage the fund's average
maturity  in  anticipation of interest-rate trends and supply-and-demand changes
in New Jersey's short-term municipal marketplace.

For  example,  if  we expect an increase in short-term supply, we may reduce the
weighted  average maturity of the fund, which should better position the fund to
purchase new securities with higher yields, if higher yields materialize. Yields
tend to rise when there is an increase

                                                                The Fund


DISCUSSION OF FUND PERFORMANCE (CONTINUED)

in  new-issue  supply  competing for investor interest. New securities generally
are issued with maturities in the one-year range and tend to lengthen the fund's
weighted  average  maturity.  If  we anticipate limited new-issue supply, we may
extend  the  portfolio's average maturity to maintain then-current yields for as
long  as  we  think  practical.  At  other  times, we try to maintain an average
maturity  that  reflects  our view of short-term interest-rate trends and future
supply-and-demand considerations.

WHAT OTHER FACTORS INFLUENCED THE FUND'S PERFORMANCE?

During  the  reporting period, short-term interest rates generally trended lower
as  economic  weakness persisted. In an attempt to stimulate renewed growth, the
Fed  reduced  short-term  interest  rates  by 25 basis points in late June 2003.
Since  investors  widely  anticipated  the interest-rate reduction before it was
announced,  tax-exempt  money  market  yields  began  to  decline in the spring

Downward  pressure  on  money-market  yields was intensified by ongoing investor
demand  for  short-term  tax-exempt securities. During the opening months of the
reporting  period,  uncertainty  related  to  the  war  in  Iraq  contributed to
investors' cautious attitudes. Despite the success of major combat operations in
early   April,  a  subsequent  stock  market  rally  and  mounting  signs  of  a
long-awaited  economic  recovery,  investor  demand  for tax-exempt money market
instruments remained relatively strong through the reporting period's end.

The  weak economy influenced the fund and tax-exempt money markets in other ways
as  well.  For example, due to lower than expected tax revenues, most states and
municipalities faced widening budget deficits. New Jersey's fiscal problems were
severe  enough  to  cause  one  of the major credit-rating agencies to place the
state  on  "negative  outlook"  early  in  the  reporting period. Soon after the
reporting  period ended, however, New Jersey bridged its budget gap for the 2004
fiscal  year by passing a $24 billion balanced budget that includes $600 million
in  tax  and  fee  increases,  as  well  as cuts in spending on the arts, higher
education and property-tax rebates.


In  this  challenging  environment, we focused on local issuers that we consider
fiscally  sound.  In  addition,  because  yield  differences  among money market
instruments  of  various  maturities  were  relatively narrow during much of the
reporting  period, we maintained the fund's weighted average maturity in a range
that we consider in line with that of other municipal money market funds. Toward
the end of the reporting period, however, we began to extend the fund's weighted
average  maturity  as  yield differences widened. This shift was a result of our
efforts  to  reduce the fund's holdings of relatively low-yielding variable-rate
demand  notes,  on  which  yields are reset daily or weekly, in favor of what we
regarded as more attractive yields among longer-term municipal notes.

WHAT IS THE FUND'S CURRENT STRATEGY?

Amid more convincing signs of economic recovery, long-term bond yields surged in
July.  While  yields  of  tax-exempt money market funds have not risen nearly as
much, the yield differences between very short-term money market instruments and
one-year  municipal  notes  have  widened.  Accordingly,  we recently have taken
advantage  of  opportunities  to build a "laddered" portfolio of municipal notes
that  mature  in  stages  over the next year. We expect this strategy to help us
strike   an  appropriate  balance  between  our  ability  to  capture  potential
opportunities  for  higher yields and the need to manage the risks of unexpected
interest-rate declines.

August 15, 2003

(1)  ANNUALIZED  EFFECTIVE  YIELD IS BASED  UPON  DIVIDENDS  DECLARED  DAILY AND
     REINVESTED  MONTHLY.  PAST  PERFORMANCE IS NO GUARANTEE OF FUTURE  RESULTS.
     YIELDS  FLUCTUATE.  INCOME  MAY BE  SUBJECT  TO STATE AND  LOCAL  TAXES FOR
     NON-NEW  JERSEY  RESIDENTS,  AND SOME  INCOME MAY BE SUBJECT TO THE FEDERAL
     ALTERNATIVE  MINIMUM TAX (AMT) FOR CERTAIN INVESTORS.  AN INVESTMENT IN THE
     FUND IS NOT  INSURED  OR  GUARANTEED  BY THE FDIC OR THE  U.S.  GOVERNMENT.
     ALTHOUGH THE FUND SEEKS TO PRESERVE THE VALUE OF YOUR  INVESTMENT  AT $1.00
     PER SHARE, IT IS POSSIBLE TO LOSE MONEY BY INVESTING IN THE FUND.

                                                             The Fund

STATEMENT OF INVESTMENTS

July 31, 2003 (Unaudited)






                                                                                              Principal
TAX EXEMPT INVESTMENTS--102.3%                                                                Amount ($)                Value ($)
- ------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                 
Atlantic City, GO Notes

   2%, 8/1/2004 (Insured; MBIA)                                                               1,750,000                1,767,115

Atlantic County Improvement Authority, Revenue, VRDN

  Pooled Governmental Loan Program

   .85% (LOC; KBC Bank)                                                                       1,200,000  (a)           1,200,000

Bergen County Improvement Authority, MFHR

  VRDN (Kentshire Apartments Project)

   .90% (LOC; FNMA)                                                                           9,000,000  (a)           9,000,000

Boonton, GO Notes, BAN

   1%, 1/30/2004                                                                              1,138,888                1,138,888

Brigantine, GO Notes, BAN

   1.70%, 1/30/2004                                                                           4,300,000                4,310,592

Burlington County, GO Notes:

  BAN:

      1.25%, 2/5/2004                                                                        10,916,500               10,920,672

      1.15%, 3/6/2004                                                                         3,996,000                3,996,575

   Refunding 4%, 10/1/2003 (Insured; AMBAC)                                                     760,000                  763,598

Burlington County Bridge Commission

  Pooled Loan Revenue

  County Guaranteed Governmental Loan Program

   3%, 10/15/2003                                                                             1,155,000                1,158,519

Camden County Improvement Authority, LR

  (Cherry Hill Township Library Project)

   3%, 5/1/2004                                                                                 520,000                  527,742

Cape May County Municipal Utilities Authority, Refunding:

  Sewer Revenue

      4%, 1/1/2004 (Insured; MBIA)                                                            3,815,000                3,859,110

   Solid Waste Revenue

      5%, 8/1/2003 (Insured; AMBAC)                                                             250,000                  250,000

Chester Township, GO Notes

   3.30%, 12/15/2003 (Insured; FGIC)                                                            280,000                  282,117

Colts Neck Township, GO Notes, BAN

   1.65%, 5/28/2004                                                                           1,757,500                1,765,493

Cranbury Township, GO Notes, BAN

   2%, 1/8/2004                                                                               4,458,000                4,473,438

Dover Municipal Utilities Authority

  Sewer Revenue, Refunding

   2%, 2/15/2004 (Insured; FGIC)                                                              1,460,000                1,466,298

East Brunswick Township, GO Notes, BAN

   2%, 9/17/2003                                                                              1,400,000                1,400,977

Egg Harbor Township School District, GO Notes

   Refunding 1.60%, 2/15/2004 (Insured; FSA)                                                  1,000,000                1,002,152


                                                                                              Principal
TAX EXEMPT INVESTMENTS (CONTINUED)                                                            Amount ($)                Value ($)
- ------------------------------------------------------------------------------------------------------------------------------------

Essex County, GO Notes

   Refunding 5%, 11/15/2003 (Insured; FGIC)                                                   1,390,000                1,405,275

Essex County Improvement Authority

  Private Schoools Revenue, VRDN

   (The Children's Institute Project)
   .90% (LOC; Wachovia Bank)                                                                  1,665,000  (a)           1,665,000

Garden State Preservation Trust, Revenue, VRDN

  (Open Space & Farmland) .99% (Insured; FSA and

   Liquidity Facility; BNP Paribas)                                                           4,180,000  (a)           4,180,000

Garfield, GO Notes, TAN

   1.10%, 11/12/2003                                                                          3,500,000                3,500,957

Haledon, GO Notes, BAN

   1.80%, 4/30/2004                                                                           3,762,000                3,778,911

Hudson County Improvement Authority, Revenue, VRDN

  Essential Purpose Pooled Government Program

   .80% (LOC; The Bank of New York)                                                          14,500,000  (a)          14,500,000

Hunterdon County, GO Notes, General Improvement

   2%, 12/1/2003                                                                                600,000                  601,487

Linden, GO Notes, BAN

   1.50%, 6/3/2004                                                                            2,475,000                2,484,243

Medford Township, GO Notes, BAN

   1.20%, 7/23/2004                                                                           1,723,300                1,726,291

County of Mercer, GO Notes, Refunding

   4%, 8/1/2003                                                                                 470,000                  470,000

Mercer County Improvement Authority, LR

  Governmental Lease Program

   2%, 9/1/2003 (Insured; AMBAC)                                                                915,000                  915,716

Middle Township School District, GO Notes, GAN

   2%, 10/17/2003                                                                             5,000,000                5,005,084

Middlesex County Improvement Authority, LR:

   2%, 9/15/2003                                                                              1,025,000                1,025,687

   2%, 6/15/2004                                                                                950,000                  957,794

Monmouth County Improvement Authority, Revenue:

  Capital Equipment Pooled Lease Program

      5%, 10/1/2003                                                                             500,000                  503,140

   Governmental Loan Program

      4.50%, 12/1/2003 (Insured; AMBAC)                                                         515,000                  520,536

Township of Montgomery, GO Notes

   2.25%, 2/1/2004                                                                            2,500,000                2,514,045

Montgomery Township School District, GO Notes

   5.45%, 8/1/2003 (Insured; FGIC)                                                              100,000                  100,000

                                                                                                     The Fund

STATEMENT OF INVESTMENTS (Unaudited) (CONTINUED)

                                                                                              Principal
TAX EXEMPT INVESTMENTS (CONTINUED)                                                            Amount ($)                Value ($)
- ------------------------------------------------------------------------------------------------------------------------------------

Morris Plains, GO Notes, BAN

   1.75%, 7/29/2004                                                                           2,569,000                2,587,906

Morristown, GO Notes, TAN

   1.15%, 2/27/2004                                                                           3,000,000                3,002,549

New Brunswick, GO Notes:

   1.85%, 8/13/2003                                                                           5,000,000                5,000,598

   BAN 1.85%, 8/13/2003                                                                       7,207,000                7,207,862

New Jersey Building Authority, Building Revenue

  VRDN, Putters Program

  .85% (Insured; MBIA and Liquidity Facility;

   JPMorgan Chase Bank)                                                                       4,185,000  (a)           4,185,000

New Jersey Economic Development Authority

  VRDN:

    EDR:

         (Diocese of Metuchen)

            .80% (LOC; Fleet National Bank)                                                   6,000,000  (a)           6,000,000

         (Encap Golf Holdings LLC):

            .85% Series A (LOC; Bayerische Landesbank)                                        9,500,000  (a)           9,500,000

            .85% Series B (LOC; Bayerische Landesbank)                                       15,000,000  (a)          15,000,000

         (Institute of Electrical Engineers)

            .85% (LOC; Wachovia Bank)                                                         3,065,000  (a)           3,065,000

         (Kenwood USA Corp. Project)

            .85% (LOC; The Bank of New York)                                                  5,900,000  (a)           5,900,000

         (Stamato Realty LLC Project)

            .90% (LOC; Valley National Bank)                                                  4,735,000  (a)           4,735,000

         (Wood Hollow Associates)

            .90% (LOC; Wachovia Bank)                                                         2,015,000  (a)           2,015,000

         Refunding:

            (Airis Newark LLC Project)

               .85% (Insured; AMBAC and Liquidity

                  Facility; KBC Bank)                                                         7,005,000  (a)           7,005,000

            (Jewish Community Metropolitan West)

               .85% (LOC; Wachovia Bank)                                                      1,000,000  (a)           1,000,000

      Industrial Revenue

         (Buchanan and Zweigle Project)

         1% (LOC; Wachovia Bank)                                                              2,760,000  (a)           2,760,000

      Manufacturing Facilities Revenue

         (Rennoc Corp./Santa's Best Project)

         1.05% (LOC; ABN-AMRO)                                                                1,905,000  (a)           1,905,000

      PCR, Refunding

         (Hoffman La Roche Inc.)

         .88% (LOC; Wachovia Bank)                                                           20,000,000  (a)          20,000,000


                                                                                              Principal
TAX EXEMPT INVESTMENTS (CONTINUED)                                                            Amount ($)                Value ($)
- ------------------------------------------------------------------------------------------------------------------------------------

New Jersey Economic Development Authority (continued)

  VRDN (continued):

    Revenues:

         (CPC Behavioral Health Care)

            .90% (LOC; Wachovia Bank)                                                         3,595,000  (a)           3,595,000

         (Developmental Disabilities)

            .90% (LOC; Wachovia Bank)                                                         2,690,000  (a)           2,690,000

         (Four Woodbury Mews Project)

            .96% (LOC; Fleet National Bank)                                                   6,600,000  (a)           6,600,000

         (Three Woodbury Mews Project)

            .96% (LOC; Fleet National Bank)                                                   9,525,000  (a)           9,525,000

         (Young Men's Christian Associates)

            .90% (LOC; Wachovia Bank)                                                         1,585,000  (a)           1,585,000

      School Revenue, Refunding

         (Blair Academy)

         .85% (LOC; Wachovia Bank)                                                            5,090,000  (a)           5,090,000

      Special Facilities Revenue

         (Port Newark Container LLC)

         .88% (LOC; Citibank N.A.)                                                           14,000,000  (a)          14,000,000

      Thermal Energy Facilities Revenue

         (Thermal Energy Limited)

         .85% (LOC; Bank One)                                                                 1,300,000  (a)           1,300,000

New Jersey Educational Facilities Authority:

  College and University Revenue, VRDN

    (College of New Jersey)

         .80% (Insured; AMBAC and Liquidity Facility:

         Bank of Nova Scotia and Toronto Dominion Bank)                                      24,000,000  (a)          24,000,000

   LR (Higher Education Equipment Leasing Fund)

      4%, 9/1/2003                                                                            2,000,000                2,004,315

New Jersey Environmental Infrastructure Trust, Revenue:

  Refunding, Waste Water Treatment

      2%, 3/1/2004 (Insured; AMBAC)                                                           3,465,000                3,480,970

   VRDN, Municipal Securities Trust Receipts

      .92% (Liquidity Facility; JPMorgan Chase Bank)                                            500,000  (a)             500,000

New Jersey Health Care Facilities Financing Authority

  Revenues, VRDN:

    (Holy Name Hospital)

         .80% (LOC; Fleet National Bank)                                                      1,800,000  (a)           1,800,000

      (Hospital Capital Asset Financing)

         .80% (LOC; JPMorgan Chase Bank)                                                      5,700,000  (a)           5,700,000

      (RWJ Health Care Corp.)

         .90% (LOC; Commerce Bank N.A.)                                                      14,900,000  (a)          14,900,000

                                                                                                                     The Fund

STATEMENT OF INVESTMENTS (Unaudited) (CONTINUED)

                                                                                              Principal
TAX EXEMPT INVESTMENTS (CONTINUED)                                                            Amount ($)                Value ($)
- ------------------------------------------------------------------------------------------------------------------------------------

New Jersey Health Care Facilities Financing Authority

  Revenues, VRDN (continued):

    (St. Barnabas Medical Center)

         .80% (LOC; JPMorgan Chase Bank)                                                      7,500,000  (a)           7,500,000

      (St. Peters University Hospital)

         .80% (LOC; Fleet National Bank)                                                     16,000,000  (a)          16,000,000

New Jersey Housing and Mortgage Finance Agency

  Revenue, VRDN, Merlots Program

   .95% (Insured; MBIA and Liquidity Facility;
   Wachovia Bank)                                                                             2,295,000  (a)           2,295,000

New Jersey Sports and Exposition Authority

  Recreational Revenue, VRDN .80% (Insured; MBIA

   and Liquidity Facility; Credit Suisse)                                                    18,000,000  (a)          18,000,000

New Jersey Transit Corporation

  Transit Revenue, GAN

   5.50%, 2/1/2004 (Insured; AMBAC)                                                           2,000,000                2,042,980

New Jersey Transportation Trust Fund Authority, Revenue

  VRDN, Merlots Program .90% (Insured; FSA and

   Liquidity Facility; Wachovia Bank)                                                         2,990,000  (a)           2,990,000

New Jersey Turnpike Authority

  Turnpike Revenue, VRDN:

    Merlots Program .90% (Insured; MBIA

         and Liquidity Facility; Wachovia Bank)                                              11,680,000  (a)          11,680,000

      1.03% (Insured; FGIC and Liquidity
         Facility; BNP Paribas)                                                               4,000,000  (a)           4,000,000

Newark Housing Authority, MFHR, VRDN

  1.05% (Liquidity Facility; Merrill Lynch and

   LOC; Merrill Lynch)                                                                        4,755,000  (a)           4,755,000

Ocean City, GO Notes, BAN

   1.75%, 12/9/2003                                                                           4,500,000                4,509,978

Ocean County, GO Notes, Refunding

   3%, 8/1/2003                                                                               2,070,000                2,070,000

Township of Old Bridge, GO Notes, BAN

   1.15%, 6/3/2004                                                                            2,600,000                2,600,416

Paramus, GO Notes, BAN

   1.50%, 8/11/2004                                                                           5,232,899                5,258,802

Parsippany Troy Hills Township, GO Notes

   Refunding 2%, 12/1/2003                                                                    1,965,000                1,970,879

Township of Pennsauken, GO Notes, BAN

   1.15%, 7/29/2004                                                                           8,000,000                8,011,775


                                                                                              Principal
TAX EXEMPT INVESTMENTS (CONTINUED)                                                            Amount ($)                Value ($)
- ------------------------------------------------------------------------------------------------------------------------------------

Port Authority of New York and New Jersey

  Special Obligation Revenue, VRDN

  Merlots Program .95% (Insured; MBIA and

   Liquidity Facility; Wachovia Bank)                                                         1,415,000  (a)           1,415,000

Rahway Redevelopment Agency, Revenue

   (Public Library Project) 2.25%, 10/29/2003                                                 5,780,000                5,789,006

Rahway Valley Sewerage Authority, GO Notes

   (Sewer Project) 2.25%, 1/14/2004                                                           5,750,000                5,777,118

Rockaway Township, GO Notes, BAN

   1.50%, 7/23/2004                                                                           1,920,000                1,929,270

Rutherford Board of Education, GO Notes

   3.25%, 1/15/2004 (Insured; FGIC)                                                             590,000                  595,483

Somerset County Industrial Pollution Control Financing

  Authority, Industrial Revenue, Refunding, VRDN

   (American Cyanamid) 1.40%                                                                  2,700,000  (a)           2,700,000

Sparta Township, GO Notes, BAN 1.70%, 1/16/2004                                               7,000,000                7,014,312

Union County Improvement Authority, LR:

   BAN (Train Station Project) 1.20%, 2/12/2004                                               4,675,000                4,675,000

   Capital Equipment and Infrastructure Program

      2%, 5/1/2004 (Insured; AMBAC)                                                           1,080,000                1,086,905

Township of Voorhees, GO Notes, BAN:

   2%, Series A, 2/11/2004                                                                    2,302,000                2,312,217

   2%, Series C, 2/11/2004                                                                    1,838,250                1,846,408

West Amwell Township School District

  Hunterdon County, GO Notes

   1.50%, 2/4/2004                                                                            1,000,000                1,002,480

Wildwood Crest, GO Notes, BAN
   1.75%, 5/21/2004                                                                           2,700,000  2,713,505
- ------------------------------------------------------------------------------------------------------------------------------------

TOTAL INVESTMENTS (cost $425,318,186)                                                             102.3%             425,318,186

LIABILITIES, LESS CASH AND RECEIVABLES                                                             (2.3%)             (9,365,779)

NET ASSETS                                                                                        100.0%             415,952,407

                                                                                                             The Fund




STATEMENT OF INVESTMENTS (Unaudited) (CONTINUED)




Summary of Abbreviations
                                                         
AMBAC    American Municipal Bond Assurance                GO      General Obligation
           Corporation                                    LOC     Letter of Credit
BAN      Bond Anticipation Notes                          LR      Lease Revenue
EDR      Economic Development Revenue                     MBIA    Municipal Bond Investors Assurance
FGIC     Financial Guaranty Insurance                               Insurance Corporation
           Company                                        MFHR    Multi--Family Housing Revenue
FNMA     Federal National Mortgage                        PCR     Pollution Control Revenue
          Association                                     TAN     Tax Anticipation Notes
FSA      Financial Security Assurance                     TRAN    Tax and Revenue Anticipation Notes
GAN      Grant Anticipation Notes                         VRDN    Variable Rate Demand Notes






Summary of Combined Ratings (Unaudited)




Fitch                or          Moody's               or        Standard & Poor's                            Value (%)
- ------------------------------------------------------------------------------------------------------------------------------------
                                                                                                        
F1+, F1                          VMIG1, MIG1, P1                 SP1+SP1, A1+,A1                                  57.6

AAA, AA, A (b)                   Aaa, Aa, A (b)                  AAA, AA, A (b)                                   14.8

Not Rated (c)                    Not Rated (c)                   Not Rated (c)                                    27.6

                                                                                                                 100.0

(A)  SECURITIES PAYABLE ON DEMAND.  VARIABLE INTEREST  RATE--SUBJECT TO PERIODIC
     CHANGE.

(B)  NOTES WHICH ARE NOT F, MIG AND SP RATED ARE  REPRESENTED BY BOND RATINGS OF
     THE ISSUERS.

(C)  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.




SEE NOTES TO FINANCIAL STATEMENTS.


STATEMENT OF ASSETS AND LIABILITIES

July 31, 2003 (Unaudited)

                                                             Cost         Value
- --------------------------------------------------------------------------------

ASSETS ($):

Investments in securities--See Statement of
Investments                                           425,318,186   425,318,186

Interest receivable                                                   1,457,273

Prepaid expenses                                                         11,399

                                                                    426,786,858
- --------------------------------------------------------------------------------

LIABILITIES ($):

Due to The Dreyfus Corporation and affiliates                           213,340

Cash overdraft due to Custodian                                       2,517,814

Payable for investment securities purchased                           8,028,883

Payable for shares of Common Stock redeemed                              42,432

Accrued expenses                                                         31,982

                                                                     10,834,451
- --------------------------------------------------------------------------------

NET ASSETS ($)                                                      415,952,407
- --------------------------------------------------------------------------------

COMPOSITION OF NET ASSETS ($):

Paid-in capital                                                     416,132,746

Accumulated net realized gain (loss) on investments                    (180,339)
- --------------------------------------------------------------------------------

NET ASSETS ($)                                                      415,952,407
- --------------------------------------------------------------------------------

SHARES OUTSTANDING

(2 billion shares of $.001 par value Common Stock authorized)       416,133,716

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

SEE NOTES TO FINANCIAL STATEMENTS.

                                                             The Fund

STATEMENT OF OPERATIONS

Six Months Ended July 31, 2003 (Unaudited)

- --------------------------------------------------------------------------------

INVESTMENT INCOME ($):

INTEREST INCOME                                                      2,464,718

EXPENSES:

Management fee--Note 2(a)                                            1,063,495

Shareholder servicing costs--Note 2(b)                                 205,618

Professional fees                                                       21,742

Directors' fees and expenses--Note 2(c)                                 21,404

Custodian fees                                                          21,332

Prospectus and shareholders' reports                                     9,943

Registration fees                                                        5,639

Miscellaneous                                                            8,981

TOTAL EXPENSES                                                       1,358,154

INVESTMENT INCOME--NET                                               1,106,564
- --------------------------------------------------------------------------------

NET REALIZED GAIN (LOSS) ON INVESTMENTS--NOTE 1(B) ($)                   2,565

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS                 1,109,129

SEE NOTES TO FINANCIAL STATEMENTS.


STATEMENT OF CHANGES IN NET ASSETS

                                         Six Months Ended
                                            July 31, 2003            Year Ended
                                               (Unaudited)     January 31, 2003
- --------------------------------------------------------------------------------

OPERATIONS ($):

Investment income--net                          1,106,564             3,656,189

Net realized gain (loss) on investments             2,565                20,852

Net unrealized appreciation (depreciation)
   on investments                                      --                  (735)

NET INCREASE (DECREASE) IN NET ASSETS
   RESULTING FROM OPERATIONS                    1,109,129             3,676,306
- --------------------------------------------------------------------------------

DIVIDENDS TO SHAREHOLDERS FROM ($):

INVESTMENT INCOME--NET                         (1,106,564)           (3,656,189)
- --------------------------------------------------------------------------------

CAPITAL STOCK TRANSACTIONS ($1.00 per share):

Net proceeds from shares sold                 283,113,269           547,671,550

Dividends reinvested                              990,798             3,258,279

Cost of shares redeemed                      (295,153,955)         (592,442,039)

INCREASE (DECREASE) IN NET ASSETS
   FROM CAPITAL STOCK TRANSACTIONS            (11,049,888)          (41,512,210)

TOTAL INCREASE (DECREASE) IN NET ASSETS       (11,047,323)          (41,492,093)
- --------------------------------------------------------------------------------

NET ASSETS ($):

Beginning of Period                           426,999,730           468,491,823

END OF PERIOD                                 415,952,407           426,999,730

SEE NOTES TO FINANCIAL STATEMENTS.

                                                             The Fund

FINANCIAL HIGHLIGHTS

The  following table describes the performance for the fiscal periods indicated.
Total return shows how much your investment in the fund would have increased (or
decreased)  during  each  period,  assuming you had reinvested all dividends and
distributions.  These  figures  have  been  derived  from  the  fund's financial
statements.





                                          Six Months Ended                                 Year Ended January 31,
                                             July 31, 2003      --------------------------------------------------------------------
                                                (Unaudited)         2003          2002          2001           2000          1999
- ------------------------------------------------------------------------------------------------------------------------------------
                                                                                                           
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                                .003          .008          .020          .033           .025          .027

Distributions:

Dividends from investment
   income--net                                       (.003)        (.008)        (.020)        (.033)         (.025)        (.027)

Net asset value, end of period                        1.00          1.00          1.00          1.00           1.00          1.00
- ------------------------------------------------------------------------------------------------------------------------------------

TOTAL RETURN (%)                                       .52(a)        .83          2.06          3.32           2.54          2.69
- ------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA (%):

Ratio of expenses
   to average net assets                               .64(a)        .65           .65           .67            .66           .67

Ratio of net investment income
   to average net assets                               .52(a)        .83          2.04          3.25           2.50          2.65
- ------------------------------------------------------------------------------------------------------------------------------------

Net Assets, end of period
   ($ x 1,000)                                     415,952       427,000       468,492       439,244        431,543       475,046

(A) ANNUALIZED.




SEE NOTES TO FINANCIAL STATEMENTS.


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,  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  state  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  wholly-owned  subsidiary  of  Mellon  Bank, N.A., which is a wholly-owned
subsidiary  of  Mellon  Financial  Corporation. Dreyfus Service Corporation (the
"Distributor"), a wholly-owned subsidiary of the Manager, 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 accounting
principles generally accepted in the United States, 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
in accordance with Rule 2a-7 of the Act, 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
discounts  and  premiums  on  investment,  is  earned  from  settlement date and
recognized  on  the  accrual  basis.  Realized  gain  and  loss  from securities
transactions are recorded on the identified cost

                                                                The Fund

NOTES TO FINANCIAL STATEMENTS (Unaudited) (CONTINUED)

basis.  Under the terms of the custody agreement, the fund received net earnings
credits of $26,778 during the period ended July 31, 2003 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 $182,904 available for federal
income  tax purposes to be applied against future net securities profit, if any,
realized  subsequent  to  January  31,  2003.  If  not  applied,  $98,991 of the
carryover expires in fiscal 2004, $4,210 expires in fiscal 2005, $16,731 expires
in fiscal 2006 and $62,972 expires in fiscal 2007.

The  tax  character of distributions paid to shareholders during the fiscal year
ended  January  31, 2003 was all tax exempt income. The tax character of current
year distributions will be determined at the end of the current fiscal year.

At  July  31,  2003, 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).

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 the Distributor, 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, 2003, the fund was charged $129,182 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,  2003,  the  fund  was charged $61,895 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.

                                                             The Fund

NOTES

                   For More Information

                        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
                        100 Church Street
                        New York, NY 10286

                        Transfer Agent &
                        Dividend Disbursing Agent

                        Dreyfus Transfer, Inc.
                        200 Park Avenue
                        New York, NY 10166

                        Distributor

                        Dreyfus Service Corporation
                        200 Park Avenue
                        New York, NY 10166

To obtain information:

BY TELEPHONE
Call 1-800-645-6561

BY MAIL  Write to:
The Dreyfus Family of Funds
144 Glenn Curtiss Boulevard
Uniondale, NY 11556-0144

BY E-MAIL  Send your request
to info@dreyfus.com

ON THE INTERNET  Information
can be viewed online or
downloaded from:

http://www.dreyfus.com

(c) 2003 Dreyfus Service Corporation                                  758SA0703



ITEM 2.  CODE OF ETHICS.

            Not applicable.

ITEM 3.  AUDIT COMMITTEE FINANCIAL EXPERT.

            Not applicable.

ITEM 4.  PRINCIPAL ACCOUNTANT FEES AND SERVICES.

            Not applicable.

ITEM 5.  AUDIT COMMITTEE OF LISTED REGISTRANTS.

            Not applicable.

ITEM 6.      [RESERVED]

ITEM 7.  DISCLOSURE OF PROXY VOTING POLICIES AND PROCEDURES FOR CLOSED-END
         MANAGEMENT INVESTMENT COMPANIES.

            Not applicable.

ITEM 8.      [RESERVED]

ITEM 9.      CONTROLS AND PROCEDURES.

(a)   The Registrant's principal executive and principal financial officers
have concluded, based on their evaluation of the Registrant's disclosure
controls and procedures as of a date within 90 days of the filing date of
this report, that the Registrant's disclosure controls and procedures are
reasonably designed to ensure that information required to be disclosed by
the Registrant on Form N-CSR is recorded, processed, summarized and reported
within the required time periods and that information required to be
disclosed by the Registrant in the reports that it files or submits on Form
N-CSR is accumulated and communicated to the Registrant's management,
including its principal executive and principal financial officers, as
appropriate to allow timely decisions regarding required disclosure.

(b)   There were no changes to the Registrant's internal controls over
financial reporting that occurred during the Registrant's most recently ended
fiscal half-year that has materially affected, or is reasonably likely to
materially affect, the Registrant's internal control over financial
reporting.

ITEM 10.  EXHIBITS.

(a)(1)      Not applicable.

(a)(2)      Certifications of principal executive and principal financial
officers as required by Rule 30a-2(a) under the Investment Company Act of
1940.

(b)   Certification of principal executive and principal financial officers
as required by Rule 30a-2(b) under the Investment Company Act of 1940.


                                 SIGNATURES

Pursuant to the requirements of the Securities Exchange Act of 1934 and the
Investment Company Act of 1940, the Registrant has duly caused this Report to
be signed on its behalf by the undersigned, thereunto duly authorized.

DREYFUS NEW JERSEY MUNICIPAL MONEY MARKET FUND, INC.

By:   /S/STEPHEN E. CANTER
      Stephen E. Canter
      President

Date:  September 24, 2003

Pursuant to the requirements of the Securities Exchange Act of 1934 and the
Investment Company Act of 1940, this Report has been signed below by the
following persons on behalf of the Registrant and in the capacities and on the
dates indicated.

By:   /S/STEPHEN E. CANTER
      Stephen E. Canter
      Chief Executive Officer

Date:  September 24, 2003

By:   /S/JAMES WINDELS
      James Windels
      Chief Financial Officer

Date:  September 24, 2003



(PAGE)




                                EXHIBIT INDEX

            (a)(2)      Certifications of principal executive and principal
            financial officers as required by Rule 30a-2(a) under the
            Investment Company Act of 1940.  (EX-99.CERT)

            (b)   Certification of principal executive and principal
            financial officers as required by Rule 30a-2(b) under the
            Investment Company Act of 1940.  (EX-99.906CERT)






                                                                  [EX-99.CERT]
                                                                Exhibit (a)(2)

                           SECTION 302 CERTIFICATIONS

I, Stephen E. Canter, certify that:
1.  I have reviewed this report on Form N-CSR of DREYFUS NEW JERSEY MUNICIPAL
MONEY MARKET FUND, INC.;

2.  Based on my knowledge, this report does not contain any untrue statement
of a material fact or omit to state a material fact necessary to make the
statements made, in light of the circumstances under which such statements
were made, not misleading with respect to the period covered by this report;

3.  Based on my knowledge, the financial statements, and other financial
information included in this report, fairly present in all material respects
the financial condition, results of operations, changes in net assets, and
cash flows (if the financial statements are required to include a statement
of cash flows) of the registrant as of, and for, the periods presented in
this report;

4.  The registrant's other certifying officer(s) and I are responsible for
establishing and maintaining disclosure controls and procedures (as defined
in Rule 30a-3(c) under the Investment Company Act of 1940) for the registrant
and have:

      (a) Designed such disclosure controls and procedures, or caused such
      disclosure controls and procedures to be designed under our
      supervision, to ensure that material information relating to the
      registrant, including its consolidated subsidiaries, is made known to
      us by others within those entities, particularly during the period in
      which this report is being prepared;

      (b) Evaluated the effectiveness of the registrant's disclosure controls
      and procedures and presented in this report our conclusions about the
      effectiveness of the disclosure controls and procedures, as of a date
      within 90 days prior to the filing date of this report based on such
      evaluation; and

      (c) Disclosed in this report any change in the registrant's internal
      control over financial reporting that occurred during the registrant's
      most recent fiscal half-year (the registrant's second fiscal half-year
      in the case of an annual report) that has materially affected, or is
      reasonably likely to materially affect, the registrant's internal
      control over financial reporting; and

5.  The registrant's other certifying officer(s) and I have disclosed to the
registrant's auditors and the audit committee of the registrant's board of
directors (or persons performing the equivalent functions):

      (a) All significant deficiencies and material weaknesses in the design
      or operation of internal control over financial reporting which are
      reasonably likely to adversely affect the registrant's ability to
      record, process, summarize, and report financial information; and
      (b) Any fraud, whether or not material, that involves management or
      other employees who have a significant role in the registrant's
      internal control over financial reporting.


                               By:   /S/Stephen E. Canter
                                     Stephen E. Canter
                                     Chief Executive Officer

                               Date: September 24, 2003




                           SECTION 302 CERTIFICATIONS


I, James Windels, certify that:
1.  I have reviewed this report on Form N-CSR of DREYFUS NEW JERSEY MUNICIPAL
MONEY MARKET FUND, INC.;

2.  Based on my knowledge, this report does not contain any untrue statement
of a material fact or omit to state a material fact necessary to make the
statements made, in light of the circumstances under which such statements
were made, not misleading with respect to the period covered by this report;

3.  Based on my knowledge, the financial statements, and other financial
information included in this report, fairly present in all material respects
the financial condition, results of operations, changes in net assets, and
cash flows (if the financial statements are required to include a statement
of cash flows) of the registrant as of, and for, the periods presented in
this report;

4.  The registrant's other certifying officer(s) and I are responsible for
establishing and maintaining disclosure controls and procedures (as defined
in Rule 30a-3(c) under the Investment Company Act of 1940) for the registrant
and have:

      (a) Designed such disclosure controls and procedures, or caused such
      disclosure controls and procedures to be designed under our
      supervision, to ensure that material information relating to the
      registrant, including its consolidated subsidiaries, is made known to
      us by others within those entities, particularly during the period in
      which this report is being prepared;

      (b) Evaluated the effectiveness of the registrant's disclosure controls
      and procedures and presented in this report our conclusions about the
      effectiveness of the disclosure controls and procedures, as of a date
      within 90 days prior to the filing date of this report based on such
      evaluation; and

      (c) Disclosed in this report any change in the registrant's internal
      control over financial reporting that occurred during the registrant's
      most recent fiscal half-year (the registrant's second fiscal half-year
      in the case of an annual report) that has materially affected, or is
      reasonably likely to materially affect, the registrant's internal
      control over financial reporting; and

5.  The registrant's other certifying officer(s) and I have disclosed to the
registrant's auditors and the audit committee of the registrant's board of
directors (or persons performing the equivalent functions):

      (a) All significant deficiencies and material weaknesses in the design
      or operation of internal control over financial reporting which are
      reasonably likely to adversely affect the registrant's ability to
      record, process, summarize, and report financial information; and

      (b) Any fraud, whether or not material, that involves management or
      other employees who have a significant role in the registrant's
      internal control over financial reporting.


                               By:   /S/JAMES WINDELS
                                     James Windels
                                     Chief Financial Officer

                               Date: September 24, 2003


(PAGE)


                                                               [EX-99.906CERT]

                                                                   Exhibit (b)


                          SECTION 906 CERTIFICATIONS


      In connection with this report on Form N-CSR for the Registrant as
furnished to the Securities and Exchange Commission on the date hereof (the
"Report"), the undersigned hereby certify, pursuant to Section 906 of the
Sarbanes-Oxley Act of 2002, that:

      (1)   the Report fully complies with the requirements of Section 13(a)
or 15(d) of the Securities Exchange Act of 1934, as applicable; and

      (2)   the information contained in the Report fairly presents, in all
material respects, the financial condition and results of operations of the
Registrant.

                               By:   /S/STEPHEN E. CANTER
                                     Stephen E. Canter
                                     Chief Executive Officer

                               Date: September 24, 2003


                               By:   /S/JAMES WINDELS
                                     James Windels
                                     Chief Financial Officer

                               Date: September 24, 2003


THIS CERTIFICATE IS FURNISHED PURSUANT TO THE REQUIREMENTS OF FORM N-CSR AND
SHALL NOT BE DEEMED "FILED" FOR PURPOSES OF SECTION 18 OF THE SECURITIES
EXCHANGE ACT OF 1934, OR OTHERWISE SUBJECT TO THE LIABILITY OF THAT SECTION,
AND SHALL NOT BE DEEMED TO BE INCORPORATED BY REFERENCE INTO ANY FILING UNDER
THE SECURITIES ACT OF 1933 OR THE EXCHANGE ACT OF 1934.