DREYFUS MUNICIPAL MONEY MARKET FUND INC
N-30D, 2000-07-26
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Dreyfus

Municipal Money

Market Fund, Inc.

ANNUAL REPORT May 31, 2000

(reg.tm)





The  views  expressed herein are current to the date of this report. These views
and  the  composition  of the fund's portfolio are subject to change at any time
based on market and other conditions.

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


                                 Contents

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

                             2   Letter from the President

                             3   Discussion of Fund Performance

                             6   Statement of Investments

                            14   Statement of Assets and Liabilities

                            15   Statement of Operations

                            16   Statement of Changes in Net Assets

                            17   Financial Highlights

                            18   Notes to Financial Statements

                            21   Report of Independent Auditors

                            22   Important Tax Information

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

                                 Back Cover

                                                                       The Fund

                                                              Dreyfus Municipal

                                                        Money Market Fund, Inc.

LETTER FROM THE PRESIDENT

Dear Shareholder:

We  are pleased to present this annual report for Dreyfus Municipal Money Market
Fund, Inc., covering the 12-month period from June 1, 1999 through May 31, 2000.
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,
Colleen Meehan.

When  the  reporting  period  began,  international  and domestic economies were
growing  faster  than  most  analysts  expected,  giving  rise  to concerns that
long-dormant inflationary pressures might reemerge. Consumers continued to spend
heavily, unemployment levels reached new lows and the stock market, while highly
volatile,    continued    to    climb.

Because  robust economic growth may trigger unwanted inflationary pressures, the
Federal  Reserve  Board  raised  short-term  interest rates six times during the
reporting period, for a total increase of 1.75 percentage points since late June
1999.  While  these  economic  influences  overall  adversely affected long-term
municipal  bonds,  they  positively  influenced  tax-exempt money market yields

We  appreciate  your  confidence  over the past year and we look forward to your
continued   participation   in   Dreyfus  Municipal  Money  Market  Fund,  Inc.

Sincerely,


Stephen E. Canter
President and Chief Investment Officer
The Dreyfus Corporation
June 15, 2000




DISCUSSION OF FUND PERFORMANCE

Colleen Meehan, Portfolio Manager

How did Dreyfus Municipal Money Market Fund, Inc. perform during the period?

For  the  12-month  period  ended  May 31, 2000, the fund produced an annualized
yield  of  3.00% . Taking  into  account  the  effects  of compounding, the fund
provided  an  annualized  effective  yield  of  3.04%  for  the  same period.(1

We  attribute  the  fund' s  performance  to  higher  short-term  interest rates
implemented  by  the  Federal  Reserve  Board  (the "Fed"), which helped enhance
tax-exempt money market yields.

What is the fund's investment approach?

The  fund seeks a level of current income exempt from federal income taxes as is
consistent with the preservation of capital and the maintenance of liquidity.

In so doing, we employ two primary strategies. First, we attempt to add value by
constructing  a  diverse  portfolio  of  high  quality,  tax-exempt money market
instruments  from  issuers  throughout  the  United  States and its territories.
Second,  we  actively manage the portfolio's average maturity in anticipation of
supply-and-demand   changes   in   the   short-term  municipal  marketplace  and
interest-rate trends.

For  example, if we expect an increase in short-term supply, we may decrease the
average  maturity  of  the portfolio, which would enable us to take advantage of
opportunities  when  short-term supply increases. Generally, yields tend to rise
when  there  is an increase in new-issue supply competing for investor interest.
New securities are generally issued with maturities in the one-year range, which
in  turn may lengthen the portfolio's average maturity. If we anticipate limited
new-issue  supply,  we may then look to extend the portfolio's average
                                                                        The Fund


DISCUSSION OF FUND PERFORMANCE (CONTINUED)

maturity  to  maintain  current  yields  for as long as we believe 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?

The  fund  was  positively influenced over the past year by robust U.S. economic
growth and rising interest rates.

By  the  time the reporting period began on June 1, 1999, it had become apparent
that  the  pace  of  economic  growth  in the United States was higher than most
analysts  expected.  Consumer confidence reached a 30-year high, oil prices were
bouncing  back from the previous year's lows and employment remained strong with
hourly  wages  rising.  These economic forces raised concerns among fixed-income
investors  that  long-dormant  inflationary pressures might reemerge. During the
reporting period, the Fed raised short-term interest rates six times for a total
interest-rate increase of 1.75 percentage points.

However,  tax-exempt  money  market  yields generally rose less in comparison to
taxable  yields  over  the past 12 months. This was due to the fact that many of
the  nation' s  states and municipalities enjoyed higher tax revenues during the
reporting period. As a result, this lowered their need to borrow and resulted in
a reduced supply of securities.

What is the fund's current strategy?

While  our  strategy  continues  to involve active management of the portfolio's
weighted  average  maturity  and  asset  mix  according to our interest-rate and
supply-and-demand  expectations, we believe that the current economic outlook is
uncertain. On one hand, many in the investment community believe that the Fed is
likely  to raise short-term interest rates further at their next meeting in late
June. On the other hand, recent economic reports suggest that the economy may be
slowing  in  response  to previous rate hikes, creating the possibility that the
current   round  of  rate  hikes  may  be  over.  In  addition,  June  tends  to
be  a  time  of  active  issuance  for many states and municipalities, which can
potentially  lead to technical market influences that may have greater sway over
the markets than the Fed's monetary policy.

In  the  face  of these uncertainties, we have recently adjusted the portfolio's
average  weighted  maturity  so  it  is  modestly  longer  than  other federally
tax-exempt money market funds. This maturity management strategy was designed to
help  us  lock in then current prevailing yields while retaining the flexibility
required to act quickly if interest rates rise further.

Our  asset mix currently emphasizes Variable Rate Demand Notes ("VRDNs") because
of  the competitively high yields they offer. VRDNs generally feature adjustable
yields, short maturities and afford the portfolio a high degree of liquidity and
credit  quality. We have also increased our holdings of insured municipal bonds,
pre-refunded  securities  with  maturities in one year and tax-exempt commercial
paper.  We have focused primarily on securities with maturities in the three- to
six-month  range  which  we believe can help protect the fund's tax-exempt yield
but  not  drastically  extend  the  fund's weighted average maturity. Of course,
portfolio composition is subject to change over time.

June 15, 2000

(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, 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
<TABLE>

May 31, 2000

                                                                                             Principal
TAX EXEMPT INVESTMENTS--98.8%                                                               Amount ($)                Value ($)
------------------------------------------------------------------------------------------------------------------------------------
<S>                                                                                         <C>                       <C>

ARIZONA--2.3%

Apache County Industrial Development Authority, IDR, VRDN

  (Summerville Project)

   4.15%, Series B (LOC; The Bank of New York)                                               13,700,000  (a)          13,700,000

Mesa Industrial Development Authority, Revenue, VRDN

  (Discovery Health)

  3.95%, Series B (Insured; MBIA and LOC; Chase

   Manhattan Bank)                                                                            5,800,000  (a)           5,800,000

CALIFORNIA--5.2%

California Higher Education Loan Authority Inc., Student

  Loan Revenue

  3.20%, Series E-5, 6/1/2000

   (LOC; Student Loan Marketing Association)                                                 14,000,000               14,000,000

California School Cash Reserve Program Authority

   4%, Series A, 7/3/2000 (Insured; AMBAC)                                                   15,000,000               15,011,444

Student Education Loan Marketing Corporation, Student

  Loan Revenue, Refunding, VRDN

   4.40%, Series A (LOC; State Street Bank and Trust)                                        14,000,000  (a)          14,000,000

DELAWARE--2.3%

Delaware Economic Development Authority, Revenue, VRDN

  (Hospital Billing Collection) 4.15%, Series B,

   (Insured; MBIA and LOC; Morgan Stanley)                                                   19,000,000  (a)          19,000,000

DISTRICT OF COLUMBIA--4.8%

District of Columbia, Revenue, VRDN

  (George Washington University)

   4.40%, Series B, (Insured; MBIA and LOC; Bank Of America)                                 14,000,000  (a)          14,000,000

District of Columbia Housing Finance Agency:

   Mortgage Revenue 4.35%, Series B, 3/21/2001                                               13,000,000               13,000,000

   SFMR 3.30%, Series B, 6/15/2000 (LOC; CDC Funding Corp.)                                  13,000,000               13,000,000

FLORIDA--4%

Capital Projects Finance Authority, Revenue, VRDN

  (Capital Projects Loan Program)

   4.30%, Series A (Insured; FSA and LOC; Credit Suisse)                                     19,500,000  (a)          19,500,000

Highlands County Health Facilities Authority, Revenue,

  VRDN (Adventist Health System Sunbelt)

   4.35%, Series A, (LOC; Suntrust Bank)                                                      8,580,000  (a)           8,580,000

Miami Dade County Housing Finance Authority, Revenue

  (Home Ownership Mortgage)

   4.80%, Series A-2, 4/16/2001 (LOC; AIG Funding Inc.)                                       5,000,000                5,000,000

GEORGIA--2.6%

Dekalb County Housing Authority, MFHR,VRDN

  (Forest Columbia Apartments Project)

   4.45%, (LOC; First Tennessee Bank)                                                         5,000,000  (a)           5,000,000


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

GEORGIA (CONTINUED)

Savannah Economic Development Authority, Revenue Exempt

  Facilities, VRDN

  (Home Depot Project) 4.45%,  Series A

   (Corp. Guaranty; Home Depot)                                                              17,000,000  (a)          17,000,000

ILLINOIS--6.8%

City of Chicago, SFMR, 4.40%, Series B, 3/1/2001

   (Insured;  FGIC)                                                                           5,000,000                5,000,000

Glendale Heights, Multifamily Revenue, Refunding, VRDN

   4.32% (LOC; Federal Home Loan Mortgage Corporation)                                       10,000,000  (a)          10,000,000

Illinois Development Finance Authority, PCR, VRDN

  (Illinois Power Co.)

   4.50%, Series C (LOC; Morgan Guaranty Trust Co.)                                          21,800,000  (a)          21,800,000

Illinois Health Facilities Authority, (Evansville Northwestern

   Corp.) 4.75%, 5/31/2001                                                                    5,000,000                5,000,000

Lombard, MFHR, (Clover Creek) 4.05%, 12/15/2000

   (LOC; Bank One of Arizona)                                                                 7,100,000                7,100,000

Madison County, EIR, VRDN (Shell Wood River Project)

   4.55%, Series A (LOC; Shell Oil Co.)                                                       4,200,000  (a)           4,200,000

University of Illinois, Revenues, VRDN (Merlots)

   4.14%, Series S (Insured; MBIA and LOC; First Union Bank)                                  3,500,000  (a)           3,500,000

INDIANA--3.4%

Indiana Board Bank Advanced Funding Program 4.75%,

   Series A-2, 1/18/2001 (LOC; Bank of America)                                              23,500,000               23,585,309

Whiting, Industrial Sewage & Solid Waste Disposal Revenue,

  Refunding,VRDN

   (Amoco Oil Company Project) 4.55%, (LOC; BP Amoco PLC)                                     5,000,000  (a)           5,000,000

IOWA--3.6%

Iowa School Cash Anticipation Program, Iowa School Corporation

   4%, Series A, 6/23/2000 (Insured; FSA)                                                    10,000,000               10,004,478

Louisa County, PCR, Refunding,VRDN (Iowa-Illinois Gas and

   Electric) 4.35%, Series A                                                                 19,500,000  (a)          19,500,000

KANSAS--2.1%

Wichita:

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

      4.625% (LOC; The Bank of New York)                                                      5,000,000  (a)           5,000,000

   Renewal and Improvement Temporary Notes

      4.50%, 8/24/2000                                                                       12,000,000               12,014,622

KENTUCKY--3.4%

Kentucky Association of Counties Advance Revenue Cash

  Flow Borrowing Program,

   COP, TRAN 4%, 6/30/2000                                                                   10,000,000               10,004,211

                                                                                                     The Fund

STATEMENT OF INVESTMENTS (CONTINUED)

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

KENTUCKY (CONTINUED)

Ohio County, PCR, VRDN (Big Rivers Electric Corp.)

   4.15% (Insured AMBAC and LOC; Credit Suisse)                                              10,000,000  (a)          10,000,000

Somerset, Industrial Building Revenue, VRDN

  (Wonderfuel LLC Project)

   4.30% (LOC; Bank of America)                                                               7,920,000  (a)           7,920,000

LOUISIANA--1.7%

Ascension Parish, CP (BASF Corp.) 4.80%, 8/17/2000

   (Corp Guaranty; BASF Corp.)                                                               10,000,000               10,000,000

West Baton Rouge Parish Industrial District # 3, Revenue,

  VRDN (Dow Chemical Co. Project)

   4.60% (LOC; Dow Chemical Co.)                                                              4,500,000  (a)           4,500,000

MARYLAND--2.1%

Carroll County, Revenue, VRDN (Fairhaven and Copper)

  4.40%, Series B (BPA; Branch Banking and Trust and

   Insured; Asset Guaranty)                                                                   9,290,000  (a)           9,290,000

State of Maryland Energy Finance Administration, SWDR,VRDN

  (Cimenteries Project)

   4.55% (LOC; Duetsche Bank)                                                                 8,000,000  (a)           8,000,000

MICHIGAN--1.2%

Birmingham, EDR, VRDN (Brown Association Project)

   4.625% (LOC; Deutsche Bank)                                                                1,880,000  (a)           1,880,000

Detroit Downtown Development Authority Revenue, Refunding,

  VRDN (Millender Control Project)

   4.50% (LOC; HSBC Bank USA)                                                                 7,000,000  (a)           7,000,000

Michigan Housing Development Authority, LOR, Refunding, VRDN

   (Harbortown Limited Divide) 4.375%, (LOC; Deutsche Bank)                                   1,000,000  (a)           1,000,000

MINNESOTA--1.5%

City of Becker, PCR (Northern States Power Company)

   4.15%, Series A, 8/11/2000                                                                10,000,000               10,000,000

Cloquet, Industrial Facilities Revenue, VRDN

  (Potlatch Corp. Project)

   4.35%, Series C (LOC; Wachovia Bank and Trust Co.)                                         2,300,000  (a)           2,300,000

MISSOURI-1.2%

Saint Charles County Industrial Development Authority,

  Industrial Revenue, Refunding, VRDN

  (Country Club Apartments Project) 4.32% (LOC; Lasalle

   National Bank)                                                                            10,000,000  (a)          10,000,000

NEBRASKA--1.6%

Nebhelp Incorporated, Revenue, Mutiple Mode Student Loan,

  VRDN 4.20%, Series A (Insured; MBIA and

   LOC; Student Loan Marketing Association)                                                  12,995,000  (a)          12,995,000


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

NEVADA--1.7%

Clark County, IDR, VRDN (Nevada Cogeneration Association 2)

   4.55% (LOC; ABN-Amro Bank)                                                                13,700,000  (a)          13,700,000

NEW HAMPSHIRE--1.2%

State of New Hampshire Business Financing Authority, IDR, VRDN

   (Keeney Manufacturing  Co. Project) 4.45% (LOC; Fleet Bank)                                7,100,000  (a)           7,100,000

Strafford County, TAN 4.45%, 12/29/2000                                                       2,500,000                2,500,689

NEW JERSEY--.6%

State of New Jersey, CP 4.05%, Series 2000-A, 6/15/2000

  (Liquidity Facility: Bank of Nova Scotia, Commerzbank and

   Toronto-Dominion Bank)                                                                     5,000,000                5,000,000

NEW MEXICO--1.2%

State of New Mexico, TRAN 4%, 6/30/2000                                                      10,000,000               10,005,903

NEW YORK--4.3%

Metropolitan Transportation Authority, Transit Facilities

  Revenue, CP

   4.05%, Series 1, 9/1/2000 (LOC; ABN-Amro Bank)                                            20,000,000               20,000,000

City of New York Transitional Finance Authority, Revenue, BAN

   4.75%, Series 3, 11/1/2000                                                                 6,800,000                6,809,599

Suffolk County, TAN

  4.50%, Series 1, 8/10/2000 (LOC: Credit Local De France,

   Landesbank, Westdueutsche Landes)                                                          9,000,000                9,008,372

NORTH CAROLINA--1.3%

Craven County Industrial Facilities and Pollution Control

  Financing Authority, VRDN

   (Craven Wood Energy) 4.55%, Series C (LOC; ABN-Amro Bank)                                  4,100,000  (a)           4,100,000

Winston Salem,VRDN (Municipal Leasing Corp.)

   4.50% (LOC; Wachovia Bank & Trust Company)                                                 6,700,000  (a)           6,700,000

OHIO--4.3%

Lorain County, Independent Living Facilities Revenue,VRDN,

  (Elyria United Methodist Project)

   4.44% (LOC; Bank One Corp.)                                                                6,835,000  (a)           6,835,000

Ohio Higher Educational Facility, CP

  (Case Western Reserve University)

   4.50%, 10/18/2000 (LOC; Bank One Corp)                                                    10,000,000               10,000,000

Ohio Housing Finance Agency, Mortgage Revenue:

   4.15%, Series C, 9/1/2000                                                                  5,000,000                5,000,000

   4.05%, Series A-2, 9/1/2000                                                               13,000,000               13,000,000

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

   4.25% (LOC; Wells Fargo Bank)                                                              1,150,000  (a)           1,150,000

                                                                                                     The Fund

STATEMENT OF INVESTMENTS (CONTINUED)

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

PENNSYLVANIA--5.8%

Emmaus General Authority, Revenue,VRDN:

   4.20%, Series O, (LOC; Goldman, Sachs and Co.)                                             7,000,000  (a)           7,000,000

   4.15%, Series O, (Insured; FSA and LOC; First Union

   National Bank)                                                                             8,000,000  (a)           8,000,000

Lancaster County Hospital Authority, Revenue, VRDN

  (Masonic Homes)

   4.15% ( Insured; AMBAC and LOC; PNC Bank)                                                 22,740,000  (a)          22,740,000

Quakertown General Authority, Revenue,VRDN

  (Pooled Financing Program)

   4.15%, Series A (LOC; PNC Bank)                                                            5,000,000  (a)           5,000,000

York General Authority, Pooled Financing Revenue, VRDN

   4.40% (LOC; First Union National Bank)                                                     5,000,000  (a)           5,000,000

SOUTH CAROLINA--1.7%

South Carolina Jobs Economic Development Authority, EDR,

  VRDN (Wellman Inc. Project)

   4.55% (LOC; Wachovia Bank and Trust Co.)                                                  14,310,000  (a)          14,310,000

TENNESSEE--4.2%

Sevier County Public Building Authority, Local Government

  Public Improvement, VRDN:

    5.75%, Series B-2

         (Insured; AMBAC and LOC; Krediet Bank)                                                 460,000  (a)             460,000

      4.30%, Series B-2
         (Insured; AMBAC and LOC; Krediet Bank)                                               3,285,000  (a)           3,285,000

      4.30%, Series II-C-1
         (Insured; AMBAC and LOC; Krediet Bank)                                               6,000,000  (a)           6,000,000

      4.30%, Series III-C-4
         (Insured; AMBAC and LOC; Krediet Bank)                                              10,000,000  (a)          10,000,000

Shelby County, CP (Baptist Memorial Hospital):

   4.65%, 11/17/2000 (LOC; Bank of America)                                                   6,000,000                6,000,000

   4.60%, 11/22/2000 (LOC; Bank of America)                                                   9,000,000                9,000,000

TEXAS--13.6%

Austin, Utility Systems Revenue, Refunding

   6%, 11/15/2000 (Insured; AMBAC)                                                            4,000,000                4,034,440

Brazos River Authority, PCR, Refunding, VRDN

  (Texas Utility Electric Co.)

   4.25%, Series C (LOC; The Bank of New York)                                               10,000,000  (a)          10,000,000

Brazos River Harbor Naval District, VRDN:

  Brazoria County Environmental Facility Revenue:

      (Dow Chemical Project) 4.60%, Series B
         (Corp. Guaranty; Dow Chemical Co.)                                                  11,400,000  (a)          11,400,000



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

TEXAS (CONTINUED)

Brazos River Harbor Naval District, VRDN (continued):

  Brazoria County Environmental Facility Revenue:

    (Merey Sweeny L.P. Project):

         4.60%, Series A, (LOC; Chase Manhattan Bank)                                         6,200,000  (a)           6,200,000

         4.60%, Series B (LOC; Citibank)                                                      6,300,000  (a)           6,300,000

   Revenue (Dow Chemical Project):

      4.60% (Corp. Guaranty; Dow Chemical Co.)                                               10,000,000  (a)          10,000,000

      4.60%, Series A (Corp. Guaranty; Dow Chemical Co.)                                      6,200,000  (a)           6,200,000

Gulf Coast Industrial Development Authority, SWDR, VRDN

  (Citgo Petroleum Corp. Project)

   4.60% ( LOC; Bank of America)                                                              5,100,000  (a)           5,100,000

Gulf Coast Waste Disposal Authority, SWDR,VRDN

  (Amoco Oil Company Project)

   4.60% (Corp. Guaranty; BP Amoco PLC)                                                      10,300,000  (a)          10,300,000

Houston, Water and Sewer Systems Revenue, CP

  4.80%, Series A, 10/5/2000 (LOC: Bayerische Landesbank

   and Westdeutsche Landes)                                                                   5,000,000                5,000,000

PanHandle-Plains Higher Education Authority Inc., Student

  Loan Revenue VRDN

   4.15%, Series A (LOC; Student Loan Marketing Association)                                 13,000,000  (a)          13,000,000

State of Texas, TRAN 4.50%, Series A, 8/31/2000                                              15,000,000               15,028,833

Texas Public Finance Authority, Revenue, CP

   4.375%, Series A, 7/25/2000                                                               10,300,000               10,300,000

UTAH--2.8%

Intermountain Power Agency, Power Supply Revenue, CP:

  4%, Series B-2, 6/15/2000 (LOC: Bank of America and

      Bank of Nova Scotia)                                                                   13,500,000               13,500,000

   4.50%, Series B-5, 7/25/2000 (LOC: Bank of America and

      Bank of Nova Scotia)                                                                   10,000,000               10,000,000

VIRGINIA--4.1%

Henrico County Economic Development Authority, Exempt

  Facilities Revenue, VRDN Refunding

   (White Oak Limited Project) 4.15% (LOC; Citibank)                                         18,000,000  (a)          18,000,000

Richmond Industrial Development Authority, Revenue, VRDN

  (Cogentrix of Richmond Project)

   4.60%, Series A (LOC; Banque Paribas)                                                     10,000,000  (a)          10,000,000

State of Virginia Public School Authority, School Equipment

   Financing 5%, 4/1/2000                                                                     6,015,000                6,041,348

                                                                                                     The Fund

STATEMENT OF INVESTMENTS (CONTINUED)

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

WASHINGTON--.8%

Washington Housing Finance Committtee, MFHR,VRDN

  (Holly Village Senior Living)

   4.40%, Series A (LOC; Federal National Mortgage Association)                               6,600,000  (a)           6,600,000

WISCONSIN--.8%

Green Bay Area Public School District, BAN 4.90%, 4/13/2001                                   7,000,000                7,001,599

WYOMING--.6%

Wyoming Community Development Authority, Housing Revenue

   3.538%, Series 4, 12/1/2000                                                                5,090,000                5,061,322
------------------------------------------------------------------------------------------------------------------------------------

TOTAL INVESTMENTS (cost $819,949,150)                                                             98.8%              819,957,169

CASH AND RECEIVABLES (NET)                                                                         1.2%                9,896,930

NET ASSETS                                                                                       100.0%              829,854,099


Summary of Abbreviations

AMBAC                     American Municipal Bond

                             Assurance Corporation

BAN                       Bond Anticipation Notes

BPA                       Bond Purchase Agreement

COP                       Certificate of Participation

CP                        Commercial Paper

EDR                       Economic Development Revenue

EIR                       Environmental Improvement

                             Revenue

FGIC                      Federal Guaranty Insurance
                             Company

FSA                       Financial Security Assurance

IDR                       Industrial Development Revenue

LOC                       Letter of Credit

LOR                       Limited Obligation Revenue

MBIA                      Municipal Bond

                             Investors Assurance

                             Insurance Corporation

MFHR                      Multi-Family Housing Revenue

PCR                       Pollution Control Revenue

SFMR                      Single Family Mortgage

                             Revenue

SWDR                      Solid Waste Disposal Revenue

TAN                       Tax Anticipation Notes

TRAN                      Tax Revenue Anticipation Notes

VRDN                      Variable Rate Demand Note

Summary of Combined Ratings (Unaudited)

Fitch                or          Moody's               or        Standard & Poor's                           Value (%)
------------------------------------------------------------------------------------------------------------------------------------

F1+/F1                           VMIG1/MIG1, P1                  SP1+/SP1, A1+/A1                                 95.7

AAA/AA(b)                        AAA/AA(b)                       AAA/AA(b)                                         4.0

Not Rated(c)                     Not Rated(c)                    Not Rated(c)                                       .3

                                                                                                                 100.0

(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>

                                                             The Fund

STATEMENT OF ASSETS AND LIABILITIES

May 31, 2000

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

ASSETS ($):

Investments in securities--See Statement of
Investments                                           819,949,150   819,957,169

Cash                                                                  3,381,543

Interest receivable                                                   6,899,991

Prepaid expenses and other assets                                        36,501

                                                                    830,275,204
--------------------------------------------------------------------------------

LIABILITIES ($):

Due to The Dreyfus Corporation and affiliates                           338,889

Accrued expenses and other liabilities                                   82,216

                                                                        421,105
--------------------------------------------------------------------------------

NET ASSETS ($)                                                      829,854,099
--------------------------------------------------------------------------------

COMPOSITION OF NET ASSETS ($):

Paid-in capital                                                     830,119,712

Accumulated net realized gain (loss) on investments                   (273,632)

Accumulated gross unrealized appreciation of investments                  8,019
--------------------------------------------------------------------------------

NET ASSETS ($)                                                      829,854,099
--------------------------------------------------------------------------------

SHARES OUTSTANDING

(5 billion shares of $.001 par value Common Stock authorized)       831,895,461

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

SEE NOTES TO FINANCIAL STATEMENTS.


STATEMENT OF OPERATIONS

Year Ended May 31, 2000

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

INVESTMENT INCOME ($):

INTEREST INCOME                                                     31,758,649

EXPENSES:

Management fee--Note 2(a)                                            4,383,145

Shareholder servicing costs--Note 2(b)                                 765,036

Custodian fees                                                          73,935

Professional fees                                                       64,650

Directors' fees and expenses--Note 2(c)                                 56,634

Registration fees                                                       30,192

Prospectus and shareholders' reports                                    28,007

Miscellaneous                                                           20,372

TOTAL EXPENSES                                                       5,421,971

INVESTMENT INCOME--NET                                              26,336,678
--------------------------------------------------------------------------------

REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS--NOTE 1(B) ($):

Net realized gain (loss) on investments                                    430

Net unrealized appreciation (depreciation) on investments                8,019

NET REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS                   8,449

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS                26,345,127

SEE NOTES TO FINANCIAL STATEMENTS.

                                                             The Fund

STATEMENT OF CHANGES IN NET ASSETS

                                                       Year Ended May 31,
                                           -------------------------------------
                                                     2000                 1999
--------------------------------------------------------------------------------

OPERATIONS ($):

Investment income--net                         26,336,678           25,245,090

Net realized gain (loss) from investments             430            (117,565)

Net unrealized appreciation (depreciation)
   of investments                                   8,019               1,071

NET INCREASE (DECREASE) IN NET ASSETS
   RESULTING FROM OPERATIONS                   26,345,127          25,128,596
-------------------------------------------------------------------------------

DIVIDENDS TO SHAREHOLDERS FROM ($):

INVESTMENT INCOME--NET                       (26,336,678)         (25,379,021)
--------------------------------------------------------------------------------

CAPITAL STOCK TRANSACTIONS ($1.00 per share):

Net proceeds from shares sold               3,096,013,249        3,315,094,165

Dividends reinvested                           15,349,550           14,582,815

Cost of shares redeemed                   (3,182,644,847)      (3,332,016,091)

INCREASE (DECREASE) IN NET ASSETS FROM
   CAPITAL STOCK TRANSACTIONS                (71,282,048)          (2,339,111)

TOTAL INCREASE (DECREASE) IN NET ASSETS      (71,273,599)          (2,589,536)
--------------------------------------------------------------------------------

NET ASSETS ($):

Beginning of Period                           901,127,698          903,717,234

END OF PERIOD                                 829,854,099          901,127,698

SEE NOTES TO FINANCIAL STATEMENTS.


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.
<TABLE>

                                                                                           Year Ended May 31,
                                                                 ------------------------------------------------------------------
                                                                 2000           1999          1998           1997          1996
-----------------------------------------------------------------------------------------------------------------------------------
<S>                                                              <C>            <C>           <C>            <C>            <C>

PER SHARE DATA ($):

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

Investment Operations:

Investment income--net                                            .030          .027          .031           .029          .031

Distributions:

Dividends from investment income--net                            (.030)        (.027)         (.031)        (.029)         (.031)

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

TOTAL RETURN (%)                                                 3.05           2.78           3.13          2.98           3.16
------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL DATA (%):

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

Ratio of net investment income
   to average net assets                                         3.00           2.73           3.08          2.94          3.11
------------------------------------------------------------------------------------------------------------------------------------

Net Assets, end of period ($ x 1,000)                         829,854        901,128        903,717     1,024,649       950,598

SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

                                                             The Fund

NOTES TO FINANCIAL STATEMENTS

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., which is a wholly-owned subsidiary
of  Mellon  Financial  Corporation.  Effective  March  22, 2000, Dreyfus Service
Corporation  (" DSC" ), a  wholly-owned  subsidiary  of  the Manager, became the
distributor  of  the  fund's shares which are sold to the public without a sales
charge.  Prior  to  March  22,  2000, Premier Mutual Fund Services, Inc. was the
distributor.

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 $40,114 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  regulated  investment  company, which can distribute tax exempt dividends, by
complying  with the applicable provisions of the Code, and to make distributions
of  income  and  net  realized  capital  gain  sufficient  to  relieve  it  from
substantially all Federal income and excise taxes.

The  fund  has  an  unused  capital  loss  carryover  of  approximately $251,000
available  for  Federal  income  tax  purposes  to be applied against future net
securities  profits, if any, realized subsequent to May 31, 2000. This amount is
calculated  based  on  Federal  income  tax  regulations  which  may differ from
financial reporting in accordance with generally accepted accounting principles.
If  not  applied, $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,  $21,000  expires in fiscal 2006, $130,000 expires in  fiscal 2007
and $2,000 expires in fiscal 2008.

At  May  31,  2000,  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).

                                                             The Fund

NOTES TO FINANCIAL STATEMENTS (CONTINUED)

NOTE 2--Management Fee and Other Transactions with Affiliates:

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

(b)  Under  the Shareholder Services Plan, the fund reimburses DSC 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  May  31,  2000, the fund was charged $446,774 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  May  31,  2000,  the  fund  was charged $233,400 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.


REPORT OF INDEPENDENT AUDITORS

Shareholders and Board of Directors Dreyfus Municipal Money Market Fund, Inc.

We  have audited the accompanying statement of assets and liabilities of Dreyfus
Municipal Money Market Fund, Inc., including the statement of investments, as of
May  31,  2000, and the related statement of operations for the year then ended,
the  statement  of changes in net assets for each of the two years in the period
then  ended,  and  financial highlights for each of the years indicated therein.
These  financial  statements  and financial highlights are the responsibility of
the  fund' s  management.  Our  responsibility is to express an opinion on these
financial statements and financial highlights based on our audits.

We conducted our audits in accordance with auditing standards generally accepted
in the United States. Those standards require that we plan and perform the audit
to  obtain  reasonable  assurance  about  whether  the  financial statements and
financial  highlights  are  free  of  material  misstatement.  An audit includes
examining,  on  a test basis, evidence supporting the amounts and disclosures in
the  financial  statements  and  financial  highlights.  Our procedures included
confirmation  of  securities owned as of May 31, 2000 by correspondence with the
custodian.  An  audit also includes assessing the accounting principles used and
significant  estimates  made  by  management,  as well as evaluating the overall
financial   statement  presentation.  We  believe  that  our  audits  provide  a
reasonable basis for our opinion.

In  our  opinion,  the financial statements and financial highlights referred to
above  present  fairly,  in  all  material  respects,  the financial position of
Dreyfus  Municipal  Money  Market Fund, Inc. at May 31, 2000, the results of its
operations  for  the  year then ended, the changes in its net assets for each of
the two years in the period then ended, and the financial highlights for each of
the indicated years, in conformity with accounting principles generally accepted
in the United States.


New York, New York

July 6, 2000

                                                             The Fund


IMPORTANT TAX INFORMATION (Unaudited)

In accordance with Federal tax law, the fund hereby designates all the dividends
paid  from  investment  income-net  during the fiscal year ended May 31, 2000 as
" exempt-interest  dividends"  (not  generally subject to regular Federal income
tax).


NOTES

                                                           For More Information

                        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
                        One Church Street
                        New York, NY 10286

                      Transfer Agent &
                      Dividend Disbursing Agent

                        Dreyfus Transfer, Inc.
                        P.O. Box 9671
                        Providence, RI 02940

                      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 [email protected]

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

http://www.dreyfus.com

(c) 2000 Dreyfus Service Corporation                                   910AR005





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