DREYFUS MUNICIPAL MONEY MARKET FUND INC
N-30D, 1999-02-01
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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 MUNICIPAL MONEY MARKET FUND, INC.
- -----------------------------------------------------------------------------

LETTER TO SHAREHOLDERS

Dear Shareholder:

   We  are  pleased  to provide you with this report for Dreyfus Municipal Money
Market  Fund,  Inc.  for the six-month period ended November 30, 1998. Your Fund
produced  an annualized yield of 2.90% and, after taking into account the effect
of compounding, the annualized effective yield was 2.94%.*

ECONOMY

   During  1998,  the  main  regions  of  the  world had very different economic
fundamentals.  The  U.S.  began  the  period  with  a  strong  economy near full
employment, with unemployment only slightly above 4%. The tight labor market led
the  Federal  Reserve Board to contemplate a rise in interest rates early in the
year.  The  U.S.  economy  cooled enough over the months that the Fed decided to
stand  pat.  Evidence  of  economic  cooling continued to accumulate and worries
about  the  world economy intensified. Financial stresses pushed the Fed to ease
beginning  in September. After many years of subpar economic growth, continental
Europe  moved  into a sustained economic expansion. The overall European economy
benefited  as  interest  rates  in  peripheral countries such as Spain and Italy
fell,  approaching  the  lower  levels  established  by  Germany,  on the eve of
currency unification. Unlike the U.S., Europe has substantial excess capacity of
productive  plants and labor. In Asia, weak economies were pervasive as a result
of  the  Asian  financial  crisis.  The Latin American economies weakened as the
financial stresses spread throughout that region.

   A  main  influence  on  the  U.S. economy this year was the foreign financial
crisis  and cooling of the world economy. The positive effects hit first. Actual
inflation  and  expected  inflation  dropped,  causing  a  decline  in long-term
Treasury bond yields and mortgage rates. This caused a boom in housing. The drop
in inflation helped the consumer sector as more of the growth in consumer income
was  left  over  after  inflation to buy goods and services. Consumers benefited
from a combination of good growth in real income, a strong labor market and past
increases in the prices of assets they owned.

   The  negative effect of Asian weakness was felt in the industrial sector more
than  the  consumer  sector.  Corporate  profits weakened, especially in sectors
affected  by  the Asian crisis such as world-traded commodities (oil, metals and
paper) and exports. One result of the industrial weakness was to cool off a U.S.
economy    that    had    been    growing    rapidly.

   The  major  change  in  the  economic  outlook  over recent months has been a
downward  shift  in  expectations  for  world  economic  growth. A credit crunch
developed in emerging countries and former communist countries, sharply reducing
the  economic  outlook  for  Asia  and  Latin  America  as well as for commodity
exporting  countries throughout the world. The effect on Europe and the U.S. has
been to lower expectations of profit growth and drive down bond yields. Monetary
policy has begun to ease in both the U.S. and Europe.

   Evidence  of  a  weaker  world  economy accumulated as the financial stresses
continued.  A  worsened financial crisis occurred between the Russian default in
mid-August  and  the  fallout  from  the Long-Term Capital Management hedge fund
crisis  through  early October. However, proactive steps were taken to stabilize
the  Japanese  banks,  design  a  support  package  for Brazil and ease monetary
policy.  There  appears to be a shift in the priorities of key policymakers from
fighting potential inflation to restimulating future world economic growth.

MARKET ENVIRONMENT/PORTFOLIO OVERVIEW

The manner in which the Federal Reserve eased this past quarter was a gradual
process.  For  three  successive months, beginning in September, the Fed reduced
the  target  rate for Fed Funds a total of 75 basis points. The Fed also lowered
the  Discount  Rate by 25 basis points each, in November and December. The Fed's
actions provided even greater strength to an already strong short-term municipal
money  market.  Prior to these rate cuts, the short-term market had already felt
the  effects  of  the diminished supply of eligible new issuance over the summer
months.  This  year' s  summer calendar of municipal notes (consisting mainly of
California  paper)  was  drastically reduced by a combination of factors. Due to
the strength of local and state economies, several issuers reduced the amount of
short-term  borrowing  needed.  Additionally,  many  issuers came to market with
securities with maturities beyond the 13-month maximum restriction allowable for
tax-exempt  money  funds.  Other  issues were converted to a shortened synthetic
structure,  thus  eliminating the ability to extend out into the one-year range.
This  reduction in supply resulted in lower yields for most one-year paper, both
national and state specific.

   We  extended  your Fund's average maturity beyond the 65-day range during the
summer  months, just prior to the market strengthening. Your Fund benefited from
our  purchase of securities in the one-year range at yields significantly higher
than what is currently available in the market. As the summer progressed, yields
began  to drop as they reflected the diminished supply of one-year notes. During
this  period  we  utilized  the  commercial  paper market to maintain the Fund's
average  maturity.  As year-end approaches, we will continue to search for those
longer  investment opportunities which 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

December 15, 1998

New York, N.Y.

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


<TABLE>
<CAPTION>
DREYFUS MUNICIPAL MONEY MARKET FUND, INC.
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STATEMENT OF INVESTMENTS                        NOVEMBER 30, 1998 (UNAUDITED)

                                                                                                 Principal
Tax Exempt Investments--98.5%                                                                      Amount             Value
- -------------------------------------------------------                                         _____________      ____________
<S>                                                                                             <C>               <C>
Alabama--1.5%

Stevenson, IDB, Environmental Revenue, VRDN (Mead Corp. Project)

   3.35% (LOC; Toronto-Dominion Bank) (a)  . . . . . . . . . . . . . . . . . . . . . . . .      $  13,400,000     $  13,400,000

Arizona--1.1%

Pinal County Industrial Development Authority, PCR, VRDN
  (Magna Copper/Newmont Mining Corp.)

       3.15% (LOC; National Westminister Bank) (a) . . . . . . . . . . . . . . . . . . . .          9,700,000         9,700,000

California--3.8%

California Higher Education Loan Authority, Revenue, Refunding (Senior Lien)

   3.65%, Series A-1, 7/1/99 (LOC; Student Loan Marketing Association) . . . . . . . . . .         11,850,000        11,850,000

State of California, RAN 4%, 6/30/99 . . . . . . . . . . . . . . . . . . . . . . . . . . .         11,000,000        11,052,734

Student Education Loan Marketing Corporation, Student Loan Revenue, Refunding

   3%, Series A, 11/1/99 (LOC; Dresdner Bank Agency) . . . . . . . . . . . . . . . . . . .         10,000,000        10,000,000

Delaware--9.0%

Delaware Economic Development Authority, Revenue, VRDN

  (Hospital Billing and Collection Service Limited Project):

       3.15%, Series A (Insured; MBIA and Liquidity Facility; Morgan Stanley) (a)  . . . .         25,000,000        25,000,000

       3.15%, Series B (Insured; MBIA and Liquidity Facility; Morgan Stanley) (a)  . . . .         19,000,000        19,000,000

       3.15%, Series C (Insured; MBIA and Liquidity Facility; Morgan Stanley) (a)  . . . .         34,400,000        34,400,000

District of Columbia--1.2%

District of Columbia, TRAN 3.75%, Series B, 9/30/98. . . . . . . . . . . . . . . . . . . .         10,000,000        10,052,520

Florida--2.9%

Dade County, Water and Sewer Systems Revenue, VRDN

   3.00% (Insured; FGIC and Liquidity Facility; Commerzbank) (a) . . . . . . . . . . . . .          7,600,000         7,600,000

Sunshine State Governmental Finance Commission, Revenue, CP

   3%, Series B, 3/12/99 (LOC; Bank of Nova Scotia)  . . . . . . . . . . . . . . . . . . .         17,362,000        17,362,000

Georgia--3.1%

Burke County Development Authority, PCR, CP

   3.05%, 3/10/99 (Insured; AMBAC and Liquidity Facility; Radobank)  . . . . . . . . . . .         10,000,000        10,000,000

Savannah Economic Development Authority, Revenue Exempt Facilities, VRDN

   (Home Depot Project) 3.30%, Series A (Corp. Guaranty; Home Depot) (a) . . . . . . . . .         17,000,000        17,000,000

Illinois--8.7%

City of Chicago, Mandatory Tender Notes

   3.55%, 2/4/99 (LOC; Morgan Guaranty Trust Co.)  . . . . . . . . . . . . . . . . . . . .         10,000,000        10,000,000

Illinois Development Finance Authority, PCR, VRDN (Illinois Power Co.)

   3.25%, Series C (LOC; Morgan Guaranty Trust Co.) (a)  . . . . . . . . . . . . . . . . .         10,400,000        10,400,000

Illinois Health Facilities Authority, Revenue, VRDN (Revolving Fund Pooled
Financing)

   3.15% Series C (LOC; First National Bank of Chicago) (a)  . . . . . . . . . . . . . . .         16,250,000        16,250,000

Illinois Health Facilities Authority, Revenue, VRDN (Resurrection Health Care)

   3.35% (a) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          7,300,000         7,300,000

Illinois Housing Development Authority, Revenue

   (Homeowner Mortgage) 3.70%, Subseries D-2, 6/29/99  . . . . . . . . . . . . . . . . . .          8,090,000         8,090,000

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

STATEMENT OF INVESTMENTS (CONTINUED)            NOVEMBER 30, 1998 (UNAUDITED)

                                                                                                 Principal

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

Illinois (continued)

Chicago Midway Airport, Revenue, VRDN (Second Lien)

   3.4%, Series A (Insured; MBIA and Liquidity Facility; First National Bank of Chicago (a)  .   $  15,000,000    $  15,000,000

   3.4%, Series B (Insured; MBIA and Liquidity Facility; Commerzbank (a) . . . . . . . . .          8,800,000         8,800,000

Idaho--1.1%

Idaho State, TAN 4.50%, 6/30/99. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         10,000,000        10,050,199

Indiana--2.0%

Hammond Local Public Improvement Bond Bank, Revenue, Advance Funding Program
Notes

   4.30%, Series A-2, 1/7/99 (LOC; Bank One) . . . . . . . . . . . . . . . . . . . . . . .         17,810,000        17,818,690

Kansas--3.7%

Butler County, Solid Waste Disposal Cogeneration Revenue, VRDN

   (Texaco Refining and Marketing) 3.50%, Series B (LOC; Texaco Inc.) (a)  . . . . . . . .         27,100,000        27,100,000

Wichita, PCR, Refunding, VRDN (CIC Industries Inc. Project)

   3.775% (LOC; The Bank of New York) (a)  . . . . . . . . . . . . . . . . . . . . . . . .          5,000,000         5,000,000

Kentucky--1.4%

Kentucky Housing Corporation, Revenue

   3.70%, Series C, 7/1/99 (Escrowed in; U.S. Treasury Bills)  . . . . . . . . . . . . . .         12,260,000        12,260,000

Louisiana--1.5%

New Orleans Aviation Board, Revenue, VRDN (Passenger Facility Charge Project)

   3.45% (LOC: Banque Paribas and Canadian Imperial Bank of Commerce) (a)  . . . . . . . .          7,400,000         7,400,000

Ascension-Parish, Revenue, VRDN (BASF Corporation Project)

   3.35% (LOC; BASF Corp.) (a) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          5,800,000         5,800,000

Massachusetts--4.0%

Commonwealth of Massachusetts, Refunding, VRDN

   3.05%, Series B (LOC; Toronto-Dominion Bank (a) . . . . . . . . . . . . . . . . . . . .         35,000,000        35,000,000

Michigan--2.7%

Birmingham, EDR, VRDN (Brown Association Project)

   3.775% (LOC; Bankers Trust Co.) (a) . . . . . . . . . . . . . . . . . . . . . . . . . .          1,915,000         1,915,000

   3.625% (LOC; Bankers Trust Co.) (a) . . . . . . . . . . . . . . . . . . . . . . . . . .             30,000            30,000

Michigan Housing Development Authority, Refunding, VRDN

  LOR (Harbortown Limited Divide Project)

   3.525% (LOC; Bankers Trust Co.) (a) . . . . . . . . . . . . . . . . . . . . . . . . . .          1,000,000         1,000,000

Michigan Strategic Fund, SWDR, VRDN

   (Grayling Generating Project) 3.15% (LOC; Barclays Bank) (a)  . . . . . . . . . . . . .          8,000,000         8,000,000

Midland County Economic Development Corporation, Economic Development, LOR,
Refunding

  VRDN (Dow Chemical Co. Project)

   3.30%, Series B (Corp. Guaranty; Dow Chemical Co.) (a)  . . . . . . . . . . . . . . . .         12,525,000        12,525,000

Minnesota--.3%

Cloquet, Industrial Facilities Revenue, VRDN (Potlatch Corp. Project)

   3.20%, Series C (LOC; Credit Suisse) (a)  . . . . . . . . . . . . . . . . . . . . . . .          2,300,000         2,300,000

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

STATEMENT OF INVESTMENTS (CONTINUED)            NOVEMBER 30, 1998 (UNAUDITED)

                                                                                                 Principal

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

Montana--1.5%

Forsyth, PCR, Refunding, VRDN (Pacific Corp. Project)

   3.75% (LOC; Rabobank Nederland) (a) . . . . . . . . . . . . . . . . . . . . . . . . . .      $  13,400,000     $  13,400,000

Nebraska--1.5%

Nebhelp Incorporated, Revenue, Multiple Mode-Student Loan, VRDN

   3.15%, Series A (Insured; MBIA and LOC; Societe Generale) (a) . . . . . . . . . . . . .         12,995,000        12,995,000

New Jersey--3.5%

New Jersey State Transit Authority, CP 3.10%, Series A, 2/11/99

   (Liquidity Facility: Commerzbank and Bank of Novia Scotia)  . . . . . . . . . . . . . .         20,500,000        20,500,000

South Jersey Transit Authority, BAN

   2.95%, 11/3/99 (LOC; First Union National Bank) . . . . . . . . . . . . . . . . . . . .         10,000,000        10,000,000

New Mexico--1.5%

New Mexico State, TRAN 4.25%, 6/30/99. . . . . . . . . . . . . . . . . . . . . . . . . . .         13,000,000        13,047,152

New York--5.0%

Long Island Power Authority, Electric Systems Revenue, CP

   3.375%, SubSeries 1, 12/9/98 (LOC: Bayerische Landesbank and Deutchlandesbank)  . . . .          8,000,000         8,000,000

New York State Energy, Research and Development Authority, PCR

   (LILCO Project) 3.58%, Series A, 3/1/98 (LOC; Deutsche Bank)  . . . . . . . . . . . . .         13,530,000        13,530,000

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

   3.90%, Series A (LOC; Fleet Bank) (a,b) . . . . . . . . . . . . . . . . . . . . . . . .         10,600,000        10,600,000

New York State Local Government Assistance Corporation, VRDN

   3.35%, Series 6 (LOC; Bank of Nova Scotia) (a)  . . . . . . . . . . . . . . . . . . . .         21,400,000        21,400,000

   3.40%, Series 6 (LOC; Bank of Nova Scotia) (a)  . . . . . . . . . . . . . . . . . . . .            600,000           600,000

North Carolina--.5%

Craven County Industrial Facilities and Pollution Control Finance Authority,
Resource

   VRDN (Craven Wood Energy) 3.45%, Series C (LOC; ABN-Amro Bank) (a,b)  . . . . . . . . .          4,100,000         4,100,000

Ohio--4.7%

Cincinnati City School District, BAN 4%, 9/16/99 . . . . . . . . . . . . . . . . . . . . .         10,000,000        10,038,189

Columbus Electric System, Revenue, VRDN 3.50% (LOC; Union Bank of Switzerland) (a) . . . .          1,300,000         1,300,000

Cuyahoga County, HR, VRDN (Cleveland Clinic Foundation)

   3.15%, Series A (LOC; Morgan Guaranty Trust Co.) (a)  . . . . . . . . . . . . . . . . .          3,200,000         3,200,000

Greene County, Certificate of Indebtedness, GO Notes 3.75%, 3/1/99 . . . . . . . . . . . .          8,000,000         8,000,652

Hamilton County, Hospital Facilities Revenue, VRDN (Bethesda Hospital Inc.)

   3% (LOC; Rabobank Nederland) (a)  . . . . . . . . . . . . . . . . . . . . . . . . . . .          2,000,000         2,000,000

Montgomery County, Revenue, CP (Miami Valley Hospital)

   3.55%, Series B, 12/17/98 (LOC; Morgan Guaranty Trust Co.)  . . . . . . . . . . . . . .         10,000,000        10,000,000

Ohio Housing Finance Agency, Mortgage Revenue

   3.80%, Series A-3, 3/1/99 (LOC; Trinity Funding Corp.)  . . . . . . . . . . . . . . . .          5,495,000         5,495,000

Sharonville, IDR, VRDN (Edgecomb Metals Co. Project)

   3.10% (LOC; Banque Nationale DeParis) (a) . . . . . . . . . . . . . . . . . . . . . . .          1,150,000         1,150,000

DREYFUS MUNICIPAL MONEY MARKET FUND, INC.
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STATEMENT OF INVESTMENTS (CONTINUED)            NOVEMBER 30, 1998 (UNAUDITED)

                                                                                                 Principal

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

Oklahoma--.9%

Oklahoma Housing Finance Agency, Single Family Mortgage Revenue (Homeownership
Loan)

   3.55%, 9/1/99 (LOC; FGIC CMS) . . . . . . . . . . . . . . . . . . . . . . . . . . . . .     $    8,000,000    $    8,000,000

Oregon--1.1%

Klamath Falls, Electric Revenue (Salt Caves Hydroelectric)

   3.80%, Series C, 5/3/99 (Escrowed in; U.S. Treasury Bills)  . . . . . . . . . . . . . .         10,000,000        10,000,000

Pennsylvania--4.8%

Allegheny County Port Authority, GAN 4.25%, 6/30/99. . . . . . . . . . . . . . . . . . . .         11,000,000        11,039,853

Pennsylvania Higher Education Assistance Agency, Student Loan Revenue, VRDN:

   3.20%, Series A (LOC; Student Loan Marketing Association) (a) . . . . . . . . . . . . .         12,100,000        12,100,000

   3.20%, Series C (LOC; Student Loan Marketing Association) (a) . . . . . . . . . . . . .          8,900,000         8,900,000

Philadelphia, TRAN 4.25%, Series A, 6/30/99. . . . . . . . . . . . . . . . . . . . . . . .         10,000,000        10,034,259

South Carolina--3.1%

South Carolina Jobs Economic Development Authority, VRDN

   (Wellman Inc., Project) 3.45% (LOC; Wachovia Bank and Trust Co.) (a)  . . . . . . . . .         10,010,000        10,010,000

South Carolina State Housing Finance and Development Authority, Mortgage Revenu

   3.70%, Series B, 7/1/99 (Escrowed in; U.S. Treasury Bills)  . . . . . . . . . . . . . .         10,000,000        10,000,000

York County, Industrial Revenue, VRDN (Textron Project)

   5.313% (LOC; Bankers Trust) (a) . . . . . . . . . . . . . . . . . . . . . . . . . . . .          7,500,000         7,500,000

Tennessee--3.6%

Oak Ridge, IDB, Solid Waste Revenue VRDN (M4 Environmental)

   3.3% (LOC; Sun Trust Bank) (a)  . . . . . . . . . . . . . . . . . . . . . . . . . . . .         10,000,000        10,000,000

Sevier County Public Building Authority, Local Government Public Improvement,
VRDN:

   3.15%, Series A-1 (Insured; AMBAC and SBPA; Krediet Bank) (a) . . . . . . . . . . . . .          7,020,000         7,020,000

   3.15%, Series B-2 (Insured; AMBAC and SBPA; Krediet Bank) (a) . . . . . . . . . . . . .          4,185,000         4,185,000

   3.15%, Series III-C-4 (Insured; AMBAC and Liquidity Facility; Landeshessen Bank)  . . .         10,000,000        10,000,000

Texas--13.3%

Brazos River Authority, PCR, VRDN (Utility Electric Co.):

   3.45%, Series A (LOC; Morgan Guaranty Trust Co.) (a)  . . . . . . . . . . . . . . . . .         14,000,000        14,000,000

   Revenue, Refunding 3.35%, Series A (Insured; MBIA and LOC; The Bank of New York) (a)  .         18,800,000        18,800,000

Brazos River Harbor Naval District, VRDN (Dow Chemical Co. Project):

   Brazoria County Revenue 3.55% (LOC; Dow Chemical Co.) (a) . . . . . . . . . . . . . . .         11,400,000        11,400,000

   Harbor Revenue 3.55% (LOC; Dow Chemical Co.) (a)  . . . . . . . . . . . . . . . . . . .         10,000,000        10,000,000

Greater Texas Student Loan Corporation, Student Loan Revenue, Refunding

   3.60%, Series A, 3/1/99 (LOC; Student Loan Marketing Association) . . . . . . . . . . .          8,000,000         8,000,000

Gulf Coast Waste Disposal Authority, Environmental Facilities Revenue, VRDN

   (Bayer Corp. Project) 3.50% (LOC; Bayer Corp.) (a)  . . . . . . . . . . . . . . . . . .         23,000,000        23,000,000

Pan-Handle Plains Higher Education Authority Inc., Student Loan Revenue, VRDN

   3.15%, Series A (LOC; Student Loan Marketing Association) (a) . . . . . . . . . . . . .         13,000,000        13,000,000

State of Texas, TRAN 4.50%, 8/31/99. . . . . . . . . . . . . . . . . . . . . . . . . . . .          8,000,000         8,062,632

DREYFUS MUNICIPAL MONEY MARKET FUND, INC.
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STATEMENT OF INVESTMENTS (CONTINUED)            NOVEMBER 30, 1998 (UNAUDITED)

                                                                                                 Principal

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

Texas (continued)

Texas Public Finance Authority, CP

   3.30%, Series A, 12/7/98 (LOC: Toronto-Dominion Bank and Union Bank of Switzerland) . .      $  10,300,000     $  10,300,000

Utah--1%

Intermountain Power Agency, Power Supply Revenue, CP

   3.25%, 2/10/99 (Liquidity Facility: Bank of America and Bank of Nova Scotia)  . . . . .          9,000,000         9,000,000

Virginia--3.2%

Charles City and County Industrial Development Authority, Exempt Facilities
Revenue

   VRDN (Chambers Project) 3.25% (LOC; Morgan Guaranty Trust Co.) (a)  . . . . . . . . . .          6,700,000         6,700,000

Peninsula Ports Authority, Revenue, Refunding, VRDN (Zelger Coal)

   3.5% (LOC; Bank of America) (a) . . . . . . . . . . . . . . . . . . . . . . . . . . . .         11,000,000        11,000,000

Richmond Industrial Development Authority, Revenue, VRDN (Cogentrix of Richmond
Project)

   3.70%, Series A (LOC; Banque Paribas) (a) . . . . . . . . . . . . . . . . . . . . . . .         10,000,000        10,000,000

Wisconsin--1.3%

Wisconsin Health and Educational Facilities Authority, Revenue, CP (Alexian
Village)

   3.50%, Series A, 12/8/98 (LOC; First National Bank of Chicago)  . . . . . . . . . . . .         11,440,000        11,440,000

                                                                                                                  _____________

TOTAL INVESTMENTS (cost $860,704,951). . . . . . . . . . . . . . . . . . . . . . . . . . .              98.5%      $860,703,880

                                                                                                      _______     _____________


CASH AND NET RECEIVABLES (NET) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .               1.5%     $  13,239,963

                                                                                                      _______     _____________

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .             100.0%      $873,943,843
                                                                                                      _______     _____________
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DREYFUS MUNICIPAL MONEY MARKET FUND, INC.
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Summary of Abbreviations
- -----------------------------------------------------------------------------
<S>         <C>                                                     <C>         <C>
AMBAC       American Municipal Bond Assurance Corporation           LOC         Letter of Credit

BAN         Bond Anticipation Notes                                 LOR         Limited Obligation Revenue

CP          Commercial Paper                                        MBIA        Municipal Bond Investors Assurance

EDR         Economic Development Revenue                                           Insurance Corporation

FGIC        Financial Guaranty Insurance Company                    PCR         Pollution Control Revenue

FSA         Financial Security Assurance                            RAN         Revenue Anticipation Notes

GAN         Grant Anticipation Notes                                SBPA        Standby Bond Purchase Agreement

GO          General Obligation                                      SWDR        Solid Waste Disposal Revenue

HR          Hospital Revenue                                        TAN         Tax Anticipation Notes

IDB         Industrial Development Board                            TRAN        Tax Revenue Anticipation Notes

IDR         Industiral Development Revenue                          VRDN        Variable Rate Demand Notes
</TABLE>


<TABLE>
<CAPTION>
Summary of Combined Ratings (Unaudited)
- -----------------------------------------------------------------------------

Fitch                or            Moody's             or            Standard & Poor's              Percentage of Value
______                             _______                           ________________                _________________
<S>                                <C>                               <C>                                  <C>
F1+ / F1                           VMIG1, MIG1, P1                   SP1+/SP1, A1+/A1                     95.3%

AAA/AA (b)                         AAA/AA (b)                        AAA/AA (b)                            1.3

Not Rated (c)                      Not Rated (c)                     Not Rated (c)                         3.4
                                                                                                        _______
                                                                                                         100.0%
Notes to Statement of Investments:
</TABLE>
- -----------------------------------------------------------------------------

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

(b) Notes  which  are not F, MIG or 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.
<TABLE>
<CAPTION>
DREYFUS MUNICIPAL MONEY MARKET FUND, INC.
- -----------------------------------------------------------------------------

STATEMENT OF ASSETS AND LIABILITIES             NOVEMBER 30, 1998 (UNAUDITED)

                                                                                                    Cost             Value
                                                                                               ______________    ______________
<S>                                                                                              <C>               <C>
ASSETS:                          Investments in securities--See Statement of Investments . .     $860,704,951      $860,703,880

                                 Cash  . . . . . . . . . . . . . . . . . . . . . . . . . .                            8,475,525

                                 Interest receivable . . . . . . . . . . . . . . . . . . .                            5,321,191

                                 Prepaid expenses and other assets . . . . . . . . . . . .                                4,571

                                                                                                                 ______________

                                                                                                                    874,505,167

                                                                                                                 ______________


LIABILITIES:                     Due to The Dreyfus Corporation and affiliates . . . . . .                              390,389

                                 Accrued expenses and other liabilities  . . . . . . . . .                              170,935

                                                                                                                 ______________

                                                                                                                        561,324

                                                                                                                 ______________


NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                         $873,943,843

                                                                                                                 ______________



REPRESENTED BY:                  Paid-in capital . . . . . . . . . . . . . . . . . . . . .                         $874,162,427

                                 Accumulated undistributed investment income--net  . . . .                               54,733

                                 Accumulated net realized gain (loss) on investments . . .                             (272,246)

                                 Accumulated gross unrealized (depreciation)
                                   of investments  . . . . . . . . . . . . . . . . . . . .                               (1,071)

                                                                                                                 ______________


 NET ASSETS. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                         $873,943,843

                                                                                                                 ______________


SHARES OUTSTANDING

(5 billion shares of $.01 par value Common Stock authorized) . . . . . . . . . . . . . . .                          875,937,950


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

                                                                                                                         ______










                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>


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

STATEMENT OF OPERATIONS        SIX MONTHS ENDED NOVEMBER 30, 1998 (UNAUDITED)

INVESTMENT INCOME
<S>                                                                                        <C>                    <C>
INCOME                           Interest Income . . . . . . . . . . . . . . . . .                                $16,122,038

EXPENSES:                        Management fee--Note 2(a) . . . . . . . . . . . .         $  2,292,672

                                 Shareholder servicing costs--Note 2(b)  . . . . .              465,149

                                 Custodian fees  . . . . . . . . . . . . . . . . .               36,169

                                 Registration fees . . . . . . . . . . . . . . . .               27,187

                                 Directors' fees and expenses--Note 2(c) . . . . .               24,483

                                 Professional fees . . . . . . . . . . . . . . . .               24,308

                                 Prospectus and shareholders' reports  . . . . . .                8,318

                                 Miscellaneous . . . . . . . . . . . . . . . . . .               11,800

                                                                                          _____________

                                    Total Expenses . . . . . . . . . . . . . . . .                                  2,890,086

                                                                                                                 ____________

INVESTMENT INCOME--NET . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                                 13,231,952

NET REALIZED GAIN (LOSS) ON INVESTMENTS--Note 1(b) . . . . . . . . . . . . . . . .                                  (115,536)

                                                                                                                 ____________

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS . . . . . . . . . . . . . . .                                $13,116,416

                                                                                                                 ____________




                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

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

STATEMENT OF CHANGES IN NET ASSETS

                                                                                         Six Months Ended
                                                                                         November 30, 1998       Year Ended
                                                                                            (Unaudited)         May 31, 1998
                                                                                        __________________   __________________
<S>                                                                                       <C>                <C>
OPERATIONS:

   Investment income--net  . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      $     13,231,952   $       30,785,273

   Net realized gain (loss) on investments . . . . . . . . . . . . . . . . . . . . .              (115,536)             (34,746)

                                                                                          ________________     ________________

       Net Increase (Decrease) in Net Assets Resulting from Operations . . . . . . .            13,116,416           30,750,527

                                                                                          ________________     ________________

DIVIDENDS TO SHAREHOLDERS FROM:

   Investment income--net  . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           (13,311,137)         (30,785,273)

                                                                                          ________________     ________________

CAPITAL STOCK TRANSACTIONS ($1.00 per share):

   Net proceeds from shares sold . . . . . . . . . . . . . . . . . . . . . . . . . .         1,444,838,927        2,925,580,744

   Dividends reinvested  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .             7,703,702           17,843,487

   Cost of shares redeemed . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        (1,482,121,299)      (3,064,320,922)

                                                                                          ________________     ________________

       Increase (Decrease) in Net Assets from Capital Stock Transactions . . . . . .           (29,578,670)        (120,896,691)

                                                                                          ________________     ________________

          Total Increase (Decrease) in Net Assets  . . . . . . . . . . . . . . . . .           (29,773,391)        (120,931,437)

NET ASSETS:

   Beginning of Period . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           903,717,234        1,024,648,671

                                                                                          ________________     ________________

   End of Period . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      $    873,943,843     $    903,717,234

                                                                                          ________________     ________________


Undistributed investment income--net . . . . . . . . . . . . . . . . . . . . . . . .      $         54,733     $        133,918

                                                                                          ________________     ________________

                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>


DREYFUS 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.
<TABLE>
<CAPTION>



                                                 Six Months Ended
                                                 November 30, 1998                       Year Ended May 31,

                                                                       ____________________________________________________

PER SHARE DATA:                                    (Unaudited)        1998         1997        1996        1995        1994
                                                _________________    _______      _______     _______      _______     _______
<S>                                                    <C>             <C>          <C>         <C>          <C>         <C>
   Net asset value, beginning of period  . . .         $1.00           $1.00        $1.00       $1.00        $1.00       $1.00
                                                      ______          ______       ______      ______       ______      ______

   Investment Operations:

   Investment income--net  . . . . . . . . . .          .015            .031         .029        .031         .029        .020
                                                      ______          ______       ______      ______       ______      ______

   Distributions:

   Dividends from investment income--net . . .         (.015)          (.031)       (.029)      (.031)       (.029)      (.020)
                                                      ______          ______       ______      ______       ______      ______

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

TOTAL INVESTMENT RETURN. . . . . . . . . . . .          2.91%*          3.13%        2.98%       3.16%        2.98%       2.00%

RATIOS/SUPPLEMENTAL DATA:

   Ratio of expenses to average net assets . .           .63%*           .66%         .65%        .64%         .62%        .62%

   Ratio of net investment income
       to average net assets . . . . . . . . .          2.89%*          3.08%        2.94%       3.11%        2.91%       1.98%

   Net Assets, end of period (000's Omitted) . .    $873,944        $903,717   $1,024,649    $950,598     $933,311  $1,117,002
- -----------------------------

*   Annualized.

                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

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

NOTES TO FINANCIAL STATEMENTS (UNAUDITED)

NOTE 1--SIGNIFICANT ACCOUNTING POLICIES:

Dreyfus Municipal Money Market Fund, Inc. (the "Fund") is registered under the
Investment Company Act of 1940, as amended (the "Act") as a diversified open-end
management  investment  company.  The Fund's investment objective is to maximize
current  income exempt from Federal income tax to the extent 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  and original issue discounts on investments, is earned from settlement
date and recognized on the accrual basis. Realized gain and loss from securities
transactions  are  recorded  on  the  identified cost basis. Cost of investments
represent  amortized  cost.  Under  the terms of the custody agreement, the Fund
received  net  earnings  credits of $29,569 during the period ended November 30,
1998  based on available cash balances left on deposit. Income earned under this
arrangement is included in interest income.

  (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 regulatedinvestment 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 $120,000
available  for  Federal  income  tax  purposes  to be applied against future net
securities  profits,  if any, realized subsequent to May 31, 1998. The carryover
does  not  include  net realized securities losses from November 1, 1997 through
May  31,  1998 which are treated, for Federal income tax purposes, as arising in
fiscal  1999.  If  not  applied, $1,000 of the carryover expires in fiscal 2000,
$4,000  expires  in fiscal 2001, $49,000 expires in fiscal 2002, $36,000 expires
in fiscal 2003, $7,000 expires in fiscal 2004, $2,000 expires in fiscal 2005 and
$21,000 expries in fiscal 2006.

  At  November 30, 1998, the cost of investments for Federal income tax purposes
was substantially the same as the cost for financial reporting purposes (see the
Statement of Investments).

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

NOTES TO FINANCIAL STATEMENTS (UNAUDITED) (CONTINUED)

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

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

  (B)  Under  the Shareholder Services Plan, the Fund reimburses Dreyfus Service
Corporation,  a  wholly-owned subsidiary of the Manager, an amount not to exceed
an  annual rate of .25 of 1% of the value of the Fund's average daily net assets
for certain allocated expenses of providing personal services and/or maintaining
shareholder  accounts.  The  services  provided  may  include  personal services
relating  to  shareholder  accounts,  such  as  answering  shareholder inquiries
regarding  the  Fund  and  providing reports and other information, and services
related  to  the  maintenance  of  shareholder accounts. During the period ended
November  30,  1998,  the  Fund was charged $271,364 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  November 30, 1998, the Fund was charged $132,158 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 $4,500 and an attendance fee of $500 per
meeting.  The  Chairman  of  the  Board  receives  an  additional  25%  of  such
compensation.


                                   [reg.tm logo]

                                   (reg.tm)

DREYFUS 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.                                             910SA9811

Municipal Money

Market Fund, Inc.

Semi-Annual

Report

November 30, 1998




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