DREYFUS BASIC MUNICIPAL MONEY MARKET FUND INC /MD/
N-30D, 1998-10-30
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DREYFUS BASIC MUNICIPAL MONEY MARKET PORTFOLIO
- -----------------------------------------------------------------------------

LETTER TO SHAREHOLDERS

Dear Shareholder:

  We  are  pleased  to  report the performance for Dreyfus BASIC Municipal Money
Market  Portfolio  for the 12-month period ended August 31, 1998. Your Portfolio
produced  a  yield  of  3.26%  and,  after  taking  into  account  the effect of
compounding, the effective yield was 3.31%.*

THE ECONOMY

  Having   consistently   viewed   inflation   as  the  primary  threat  to  our
strong-growth,  low-unemployment  economy, the Federal Reserve Board (the "Fed")
now  has another factor to ponder in setting monetary policy: the risk of global
recession.  The wave of economic uncertainty that shook stock markets and caused
currencies  to devalue began in Thailand on July 2, 1997 (the onset of the Asian
financial crisis) and has since spread through Asia and around the world. By the
end  of  the reporting period, Russia had devalued its ruble. All this financial
tumult  has  underscored  just how economically interrelated the world's nations
are. In fact, the fragility of global financial markets has been a key factor in
the  Fed' s  reluctance to raise interest rates in an economy now in its seventh
year  of  economic  expansion. It feared that a rise in rates might threaten the
stability of other currencies.

  There  were  additional economic factors that stayed the Fed's hand. Inflation
has remained tame, comfortably below 2% on the consumer level, and is minimal at
the  production  level  of the economy as well. One reason for the low inflation
rate  is  the  strong  dollar, which keeps imports cheap; domestic producers are
constrained  from raising prices by competition from cheaper foreign goods. This
has all been good news for consumers, who account for two thirds of all economic
activity. Bolstered by solid wage gains and abundant jobs, consumers have been a
driving  positive  force  in  the  economy.  By the end of the reporting period,
however,  there  were  hints  that this could change. The political and economic
instability  in  Russia jolted the U.S. stock market in August. The stock market
sell-off could cause consumers to grow less confident and curtail spending, even
though the larger-scale economic fundamentals for consumers remain positive: low
inflation and plentiful jobs (unemployment remains near its 28-year low of 4.5%)
 . In response to the market's uncertainty, short-term rates moved sharply lower.
In  addition,  second-quarter economic growth lessened to 1.6%, the slowest rate
in  three  years  and  dramatically  below  the 5.5% rate reported for the first
quarter.  Many  market participants indicated that an ease by the Fed might be a
strong probability given the recent changes in economic conditions.

MARKET ENVIRONMENT/PORTFOLIO

  While  the  Fed  has  left  interest  rates unchanged since March 1997, market
technicals  nevertheless  created  fluctuations in rates on short-term municipal
securities  in  this  reporting  period.  During the first weeks of January, the
demand  in  the municipal money market was particularly strong due to large cash
inflows,  although the market remained in a trading range throughout most of the
first quarter of 1998. However, in April, money funds were tapped for income tax
payments,  placing  upward  pressure  on rates as funds experienced redemptions.
Supply  conditions  in  late  May reversed this trend as municipal fund managers
anticipated  the  effect  of  several billion dollars worth of notes leaving the
market at the end of June. July brought rate stability back to the market as new
supply eased the demand pressure that had existed.


<PAGE>

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

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

               Very truly yours,

               [Richard J. Moynihan signature logo]


               Richard J. Moynihan

               Director, Municipal Portfolio Management

               The Dreyfus Corporation


September 18, 1998

New York, N.Y.

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



<PAGE>
<TABLE>

DREYFUS BASIC MUNICIPAL MONEY MARKET PORTFOLIO
- -----------------------------------------------------------------------------

STATEMENT OF INVESTMENTS                                       AUGUST 31,1998

                                                                                                  Principal

Tax Exempt Investments--98.7%                                                                      Amount            Value
- -------------------------------------------------------
                                                                                                _____________    _____________
<S>                                                                                            <C>               <C>
California--6.5%

California Higher Education Loan Authority Inc., Student Loan Revenue:

  Refunding 3.60%, Series A-1, 7/1/99 (LOC; Student Loan Marketing Association)  . . . . .      $  11,000,000     $  11,000,000

  VRDN 3.35%, Series C (LOC; Student Loan Marketing Association) (a) . . . . . . . . . . .         19,000,000        19,000,000

California Public Capital Improvement Financing Authority, Revenue (Pooled
Project)

  3.65%, Series C, 9/15/98 (LOC; National Westminster Bank)  . . . . . . . . . . . . . . .         10,000,000        10,000,000

Colorado--2.4%

Colarado Student Obligation Bond Authority, Student Loan Revenue, VRDN

  3.30%, Series A (LOC; Student Loan Marketing Association) (a)  . . . . . . . . . . . . .         15,000,000        15,000,000

District of Cloumbia--3.4%

District of Columbia Housing Finance Agency, SFMR:

  3.80%, Series B, 6/23/99 (LOC; American Insurance Group) . . . . . . . . . . . . . . . .         12,000,000         12,000,000

  Refunding 4.05%, Series C, 9/1/98 (LOC; American Insurance Group)  . . . . . . . . . . .          9,200,000          9,200,000

Florida--1.8%

Sunshine Governmental Finance Commission, Revenue, CP

 3.55%, 11/13/98 (Liquidity Facility: Toronto-Dominion Bank and

  Union Bank of Switzerland) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         11,000,000        11,000,000

Georgia--3.3%

Savannah Economic Development Authority, Exempt Facility Revenue,

VRDN (Home Depot Project)

  3.45%, Series A (Corp. Guaranty; Home Depot) (a) . . . . . . . . . . . . . . . . . . . .         20,000,000        20,000,000

Idaho--1.6%

State of Idaho, TAN 4.50%, 6/30/99 . . . . . . . . . . . . . . . . . . . . . . . . . . . .         10,000,000        10,071,849

Illinois--3.4%

City of Chicago 3.55%, 10/29/98 (LOC; Morgan Guaranty Trust Co.) . . . . . . . . . . . . .         12,000,000        12,000,000

Illinois Housing Development Authority, Revenue (Homeowner Mortgage)


  3.70%, Series D, 6/29/99 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          9,000,000         9,000,000

Indiana--4.4%

Hammond Local Public Improvement Bond Bank, Revenue (Advance Funding Program)


  4.30%, Series A-2, 1/7/99 (Liquidity Facility; Bank One) . . . . . . . . . . . . . . . .         10,000,000        10,016,879

Indiana Secondary Market Educational Loans Inc., Education Loan Revenue, VRDN


  3.35%, Series B (Insured; AMBAC and LOC; Student Loan Marketing Association) (a) . . . .          7,000,000         7,000,000

Petersburg, SWDR, VRDN (Indiana Power and Light Co. Project)

  3.40% Series A (Corp. Guaranty; Indiana Power and Light) (a) . . . . . . . . . . . . . .         10,000,000        10,000,000

Iowa--2.4%

Louisa County, PCR, Refunding, VRDN (Midwest Power System Inc. Project) 3.50% (a). . . . .         14,900,000        14,900,000

Kentucky--5.5%

City of Carroll, Collateralized Solid Waste Disposal Facilities Revenue, VRDN

  (Utilities Co. Project) 3.50%, Series A (a)  . . . . . . . . . . . . . . . . . . . . . .         23,700,000        23,700,000

Morgantown, IDR (Sumitomo Electric Wiring System)

  4.25%, 10/1/98 (LOC; Sumitomo Bank)  . . . . . . . . . . . . . . . . . . . . . . . . . .         10,000,000        10,000,000

<PAGE>



DREYFUS BASIC MUNICIPAL MONEY MARKET PORTFOLIO
- -----------------------------------------------------------------------------

STATEMENT OF INVESTMENTS (CONTINUED)                           AUGUST 31,1998

                                                                                                   Principal

Tax Exempt Investments (continued)                                                                  Amount           Value
- -------------------------------------------------------
                                                                                                _____________     _____________
Louisiana--9.6%

Louisiana Housing Finance Agency, SFMR

  3.75%, Series A-4, 10/22/98 (Escrowed in; U.S. Treasury Bills) . . . . . . . . . . . . .    $     7,750,000   $     7,750,000


New Orleans Aviation Board, VRDN (Passenger Facility Charge Projects)


  3.75% (LOC: Banque Paribas and Canadian Imperial Bank of Commerce) (a) . . . . . . . . .         11,000,000        11,000,000


Plaquemines Parish, Environmental Revenue, Refunding, VRDN


  (British Petroleum Exploration and Oil) 3.50% (Corp. Guaranty; British Petroleum) (a)  .         12,200,000        12,200,000


Plaquemines Port, Harbor and Terminal District, Port Facilities Revenue

 (International Marine Terminal Project)

  3.60%, Series B, 3/15/99 (LOC; Morgan Guaranty Trust Co.)  . . . . . . . . . . . . . . .          5,775,000         5,775,000

West Baton Rouge Parish Industrial District Number 3, Revenue, VRDN

  (Dow Chemical Co. Project) 3.55%, Series A (Corp. Guaranty; Dow Chemical Co.) (a)  . . .         22,600,000        22,600,000

Maine--1.6%

Maine Housing Mortgage Authority 3.85%, Series A-3, 5/14/99 (LOC; FNMA). . . . . . . . . .         10,000,000        10,000,000

Michigan--1.5%

Grand Rapids Economic Development Corporation, Revenue, VRDN

  (Amway/Grand Plaza Hotel Facility # 1) 3.30% (LOC; Old Kent Bank and Trust) (a)  . . . .          4,000,000         4,000,000

Michigan Higher Education Student Loan Authority, Revenue, VRDN

  3.25%, Series XII-F (Insured; AMBAC and Liquidity Agreement; Sumitomo Bank) (a)  . . . .          5,000,000         5,000,000

Minnesota--2.3%

Minnesota Higher Education Coordinating Board, Revenue, VRDN

  3.40% (LOC; Norwest Bank of Minnesota) (a) . . . . . . . . . . . . . . . . . . . . . . .         14,300,000        14,300,000

Missouri--1.5%

Missouri Higher Education Loan Authority, Student Loan Revenue, Refunding, VRDN

  3.50%, Series B (Insured; MBIA and SBPA; NMB Post Bank Group) (a)  . . . . . . . . . . .          9,500,000         9,500,000

Nevada--2.6%

Clark County, IDR, VRDN:

 (Nevada Cogeneration Association 1)

    3.40% (LOC; Canadian Imperial Bank of Commerce) (a)  . . . . . . . . . . . . . . . . .         5,000,000          5,000,000

  (Nevada Cogeneration Association 2)

    3.50% (LOC; Union Bank of Switzerland) (a) . . . . . . . . . . . . . . . . . . . . . .         10,700,000        10,700,000

New Hampshire--2.4%

State of New Hampshire, PCR (New England Power Co.)

  3.65%, 9/24/98 (Corp. Guaranty; New England Power Co.) . . . . . . . . . . . . . . . . .         15,000,000        15,000,000

New Jersey--.7%

Monmouth County Improvement Authority, Revenue, VRDN

  (Pooled Government Loan Program) 2.90% (LOC; Union Bank of Switzerland) (a)  . . . . . .          4,000,000         4,000,000

New Mexico--1.6%

State of New Mexico, TRAN 4.25%, 6/30/99 . . . . . . . . . . . . . . . . . . . . . . . . .         10,000,000        10,051,914

<PAGE>


DREYFUS BASIC MUNICIPAL MONEY MARKET PORTFOLIO
- -----------------------------------------------------------------------------

STATEMENT OF INVESTMENTS (CONTINUED)                           AUGUST 31,1998

                                                                                                  Principal

Tax Exempt Investments (continued)                                                                 Amount            Value
- -------------------------------------------------------
                                                                                                _____________     _____________
New York--1.4%

State of New York, CP 3.55%, Series U, 10/15/98 (LOC; Westdeutsche Landesbank) . . . . . .    $     5,250,000   $     5,250,000

Port Authority of New York and New Jersey, VRDN


  3.30%, Series 4 (LOC; Landesbank Hessen) (a) . . . . . . . . . . . . . . . . . . . . . .          3,300,000         3,300,000

North Carolina--2.0%

Wake County Industrial Facilities and Pollution Control Finance Authority,
Revenue, VRDN

  (Carolina Power and Light Co. Project) 3.45% (LOC; First Union National Bank) (a)  . . .         12,000,000        12,000,000

Ohio--4.1%

Montgomery County, HR, CP (Miami Valley Hospital)

  3.60%, Series B, 12/15/98 (Liquidity Facility; Morgan Guaranty Trust Co.)  . . . . . . .         15,000,000        15,000,000

Ohio Housing Finance Agency, Mortgage Revenue

  3.80%, Series A-2, 3/1/99 (Corp. Guaranty; Trinity Funding Corp.)  . . . . . . . . . . .         10,000,000        10,000,000

Oregon--1.6%

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--2.4%

Pennsylvania Energy Development Authority, Energy Development Revenue, VRDN

  (B & W Ebensburg Project) 3.25% (LOC; Union Bank of Switzerland) (a) . . . . . . . . . .          7,940,000         7,940,000

City of Philadelphia, TRAN 4.25%, Series A, 6/30/99. . . . . . . . . . . . . . . . . . . .          7,000,000         7,034,324

Rhode Island--1.3%

Rhode Island Student Loan Authority, Student Loan Revenue, VRDN

  3.35%, Series 1 (LOC; National Westminster Bank) (a) . . . . . . . . . . . . . . . . . .          8,000,000         8,000,000

Texas--18.5%

Brazos River Navigation District, Harbor Revenue, VRDN:

  (BASF Corp. Project) 3.40% (Corp. Guaranty; B.A.S.F. ) (a) . . . . . . . . . . . . . . .         8,500,000          8,500,000

  (Dow Chemical Co. Project) 3.55% (Corp. Guaranty; Dow Chemical Co.) (a)  . . . . . . . .         22,300,000        22,300,000

El Paso Industrial Development Authority Inc. IDR, VRDN

  (El Paso School District Limited Project) 3.45% (LOC; Chase Manhattan Bank) (a)  . . . .          2,800,000         2,800,000

Greater East Texas Higher Education Authority Inc., Student Loan Revenue

  3.95%, Series B, 9/1/98 (LOC; Student Loan Marketing Association)  . . . . . . . . . . .          9,200,000         9,200,000

Greater East 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 Industrial Development Authority, SWDR, VRDN

  (Citgo Petroleum Corp. Project) 3.55% (LOC; Wachovia Bank of Georgia) (a)  . . . . . . .          9,100,000         9,100,000

Gulf Coast Waste Disposal Authority, SWDR, VRDN (Amoco Oil Co. Project)

  3.45% (Corp. Guaranty; Amoco Credit Corp.) (a) . . . . . . . . . . . . . . . . . . . . .         15,300,000        15,300,000

North Texas Higher Education Authority Inc., Student Loan Revenue, VRDN

  3.35%, Series A (LOC; Student Loan Marketing Association) (a)  . . . . . . . . . . . . .         10,500,000        10,500,000

Panhandle Plains Higher Education Authority Inc., Student Loan Revenue, VRDN

  3.30%, Series A (LOC; Student Loan Marketing Association) (a)  . . . . . . . . . . . . .         26,000,000        26,000,000

<PAGE>


DREYFUS BASIC MUNICIPAL MONEY MARKET PORTFOLIO
- -----------------------------------------------------------------------------

STATEMENT OF INVESTMENTS (CONTINUED)                           AUGUST 31,1998

                                                                                                  Principal

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

Port Development Corporation, Marine Terminal Revenue, VRDN

  (Pasadena Terminal Co. Inc., Project) 3.55% (LOC; ABN-Amro Bank) (a) . . . . . . . . . .    $     2,420,000   $     2,420,000

Utah--2.9%

Utah Board of Regents, Student Loan Revenue, Refunding, VRDN

  3.35%, Series A (LOC; Student Loan Marketing Association) (a)  . . . . . . . . . . . . .         17,500,000        17,500,000

Virginia--6.0%

Peninsula Port Authority, Revenue, Refunding, VRDN (Port Facility Zelgler Coal)

  3.50% (LOC; Bank of America) (a) . . . . . . . . . . . . . . . . . . . . . . . . . . . .         18,950,000        18,950,000

Richmond Industrial Development Authority, Revenue, VRDN

 (Cogentrix of Richmond Project):

    3.80% Series A (LOC; Banque Paribas) (a) . . . . . . . . . . . . . . . . . . . . . . .          8,300,000         8,300,000

    3.80% Series B (LOC; Banque Paribas) (a) . . . . . . . . . . . . . . . . . . . . . . .          6,000,000         6,000,000

  Exempt Facilities 3.80%, Series A (LOC; Banque Paribas) (a)  . . . . . . . . . . . . . .          3,400,000         3,400,000

                                                                                                                  _____________

TOTAL INVESTMENTS (cost $607,559,966). . . . . . . . . . . . . . . . . . . . . . . . . . .             98.7%      $ 607,559,966

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


CASH AND RECEIVABLES (NET) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .              1.3%      $   7,909,171

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

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .            100.0%      $ 615,469,137

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

<PAGE>


</TABLE>
<TABLE>

DREYFUS BASIC MUNICIPAL MONEY MARKET PORTFOLIO
- -----------------------------------------------------------------------------


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

<S>         <C>                                                     <C>         <C>
AMBAC       American Municipal Bond Assurance Corporation           PCR         Pollution Control Revenue

CP          Commercial Paper                                        SBPA        Standby Bond Purchase Agreement

FNMA        Federal National Mortgage Association                   SFMR        Single Family Mortgage Revenue

HR          Hospital Revenue                                        SWDR        Solid Waste Disposal Revenue

IDR         Industrial Development Revenue                          TAN         Tax Anticipation Notes

LOC         Letter of Credit                                        TRAN        Tax and Revenue Anticipation Notes

MBIA        Municipal Bond Investors Assurance                      VRDN        Variable Rate Demand Notes

               Insurance Corporation

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



Fitch                or            Moody's             or            Standard & Poor's              Percentage of Value
____                               ________                          _________________              ___________________
<S>                                <C>                               <C>
F1+/F1                             VMIG1/MIG1,P1                     SP1+/SP1, A1+/A1                     95.7%

AAA/AA (b)                         Aaa/Aa (b)                        AAA/AA (b)                            1.4

Not Rated (c)                      Not Rated (c)                     Not Rated (c)                         2.9

                                                                                                         _______

                                                                                                         100.0%

                                                                                                         =======
</TABLE>
Notes to Statement of Investments:
- -----------------------------------------------------------------------------

(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 or Standard & Poor's,
    have  been determined by the Manager to be of comparable quality to those
    rated securities in which the Fund may invest.

(d) At August  31,  1998,  the  Fund  had  $162,800,000  (26.5% of net assets)
    invested in  securities whose payment of prinicpal and interest is dependent
    upon revenues generated from educational projects.

                      SEE NOTES TO FINANCIAL STATEMENTS.

<PAGE>

<TABLE>
DREYFUS BASIC MUNICIPAL MONEY MARKET PORTFOLIO
- -----------------------------------------------------------------------------

STATEMENT OF ASSETS AND LIABILITIES                           AUGUST 31, 1998

                                                                                                    Cost             Value
                                                                                                _____________     _____________
<S>                                                                                             <C>                <C>
ASSETS:                          Investments in securities--See Statement of Investments . .     $607,559,966      $607,559,966

                                 Cash  . . . . . . . . . . . . . . . . . . . . . . . . . .                            3,981,482

                                 Interest receivable . . . . . . . . . . . . . . . . . . .                            4,161,572

                                 Prepaid expenses  . . . . . . . . . . . . . . . . . . . .                               31,246

                                                                                                                  _____________

                                                                                                                    615,734,266

                                                                                                                  _____________

LIABILITIES:                     Due to The Dreyfus Corporation and affiliates . . . . . .                              213,014

                                 Accrued expenses and other liabilities  . . . . . . . . .                               52,115

                                                                                                                  _____________

                                                                                                                        265,129

                                                                                                                  _____________

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                         $615,469,137

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

REPRESENTED BY:                  Paid-in capital . . . . . . . . . . . . . . . . . . . . .                         $615,596,875

                                 Accumulated net realized gain (loss) on investments . . .                             (127,738)

                                                                                                                  _____________

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                         $615,469,137

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


SHARES OUTSTANDING

(3 BILLION SHARES OF $.001 PAR VALUE COMMON STOCK AUTHORIZED). . . . . . . . . . . . . . .                          615,596,875

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

                                                                                                                        =======

</TABLE>
                      SEE NOTES TO FINANCIAL STATEMENTS.

<PAGE>

<TABLE>
DREYFUS BASIC MUNICIPAL MONEY MARKET PORTFOLIO
- -----------------------------------------------------------------------------

STATEMENT OF OPERATIONS                                       AUGUST 31, 1998

INVESTMENT INCOME

<S>                                                                                                <C>              <C>
INCOME                           Interest Income . . . . . . . . . . . . . . . . . . . . .                          $23,718,640

EXPENSES:                        Management fee--Note 2(a) . . . . . . . . . . . . . . . .         $3,194,542

                                 Shareholder servicing costs--Note 2(b)  . . . . . . . . .            563,666

                                 Registration fees . . . . . . . . . . . . . . . . . . . .             86,286

                                 Custodian fees  . . . . . . . . . . . . . . . . . . . . .             46,485

                                 Professional fees . . . . . . . . . . . . . . . . . . . .             45,422

                                 Prospectus and shareholders' reports  . . . . . . . . . .             12,710

                                 Directors' fees and expenses--Note 2(c) . . . . . . . . .             12,636

                                 Miscellaneous . . . . . . . . . . . . . . . . . . . . . .             15,756

                                                                                                 ____________

                                        Total Expenses . . . . . . . . . . . . . . . . . .          3,977,503

                                 Less--reduction in management fee due to
                                    undertaking--Note 2(a) . . . . . . . . . . . . . . . .         (1,101,681)

                                                                                                 ____________

                                        Net Expenses . . . . . . . . . . . . . . . . . . .                            2,875,822

                                                                                                                   ____________

INVESTMENT INCOME--NET . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                           20,842,818

NET REALIZED GAIN (LOSS) ON INVESTMENTS--Note 1(b) . . . . . . . . . . . . . . . . . . . .                              (12,147)

                                                                                                                   ____________

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS . . . . . . . . . . . . . . . . . . .                          $20,830,671

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


</TABLE>
                      SEE NOTES TO FINANCIAL STATEMENTS.

<PAGE>

<TABLE>
DREYFUS BASIC MUNICIPAL MONEY MARKET PORTFOLIO
- -----------------------------------------------------------------------------

STATEMENT OF CHANGES IN NET ASSETS

                                                                                              Year Ended         Year Ended

                                                                                            August 31, 1998    August 31, 1997
                                                                                            _______________    ________________

OPERATIONS:
<S>                                                                                        <C>                      <C>
   Investment income--net  . . . . . . . . . . . . . . . . . . . . . . . . . . . . .       $     20,842,818  $      24,320,710

   Net realized gain (loss) on investments . . . . . . . . . . . . . . . . . . . . .                (12,147)              (423)

   Net unrealized appreciation (depreciation) on investments . . . . . . . . . . . .               --                   (3,937)

                                                                                             ______________    _______________

       Net Increase (Decrease) in Net Assets Resulting from Operations . . . . . . .             20,830,671         24,316,350

                                                                                             ______________    _______________


DIVIDENDS TO SHAREHOLDERS FROM:

   Investment income--net  . . . . . . . . . . . . . . . . . . . . . . . . . . . . .            (20,842,818)       (24,320,710)

                                                                                             ______________    _______________

CAPITAL STOCK TRANSACTIONS ($1.00 per share):

   Net proceeds from shares sold . . . . . . . . . . . . . . . . . . . . . . . . . .            562,832,805        875,141,536

   Dividends reinvested  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .             19,675,953         22,940,782

   Cost of shares redeemed . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           (650,589,800)    (1,018,772,663)

                                                                                             ______________    _______________

       Increase (Decrease) in Net Assets from Capital Stock Transactions . . . . . .            (68,081,042)      (120,690,345)

                                                                                             ______________    _______________

          Total Increase (Decrease) in Net Assets  . . . . . . . . . . . . . . . . .            (68,093,189)      (120,694,705)

NET ASSETS:

   Beginning of Period . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .            683,562,326        804,257,031

                                                                                             ______________    _______________
   End of Period . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         $  615,469,137    $   683,562,326

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

</TABLE>
                      SEE NOTES TO FINANCIAL STATEMENTS.

<PAGE>

<TABLE>
DREYFUS BASIC MUNICIPAL MONEY MARKET PORTFOLIO
- -----------------------------------------------------------------------------

FINANCIAL HIGHLIGHTS

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


                                                                                      Year Ended August 31,

                                                                  ___________________________________________________________

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

                                                                  ______       ______        ______       ______       ______

   Investment Operations:

   Investment income--net  . . . . . . . . . . . . . . . . .        .033         .033         .034         .037          .026

                                                                  ______       ______        ______       ______       ______

   Distributions:

   Dividends from investment income--net . . . . . . . . . .       (.033)       (.033)        (.034)       (.037)       (.026)

                                                                  ______       ______        ______       ______       ______

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

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


TOTAL INVESTMENT RETURN. . . . . . . . . . . . . . . . . . .        3.31%        3.31%         3.42%        3.80%        2.60%

RATIOS/SUPPLEMENTAL DATA:

   Ratio of expenses to average net assets . . . . . . . . .         .45%         .45%          .38%         .14%         .09%

   Ratio of net investment income

       to average net assets . . . . . . . . . . . . . . . .        3.26%        3.26%         3.40%        3.73%        2.58%

   Decrease reflected in above expense ratios

       due to undertakings by the Manager  . . . . . . . . .         .17%         .15%          .22%         .45%         .50%

   Net Assets, end of period (000's Omitted) . . . . . . . .    $615,469     $683,562      $804,257   $1,099,434   $1,027,377

</TABLE>
                      SEE NOTES TO FINANCIAL STATEMENTS.

<PAGE>


DREYFUS BASIC MUNICIPAL MONEY MARKET PORTFOLIO
- -----------------------------------------------------------------------------

NOTES TO FINANCIAL STATEMENTS

NOTE 1--SIGNIFICANT ACCOUNTING POLICIES:

  Dreyfus  BASIC  Municipal  Money  Market  Portfolio (the "Fund") is a separate
non-diversified  series  of  Dreyfus  BASIC Municipal Fund, Inc. (the "Company")
which  is  registered  under the Investment Company Act of 1940, as amended (the
" Act" ) as  an  open-end management investment company and operates as a series
company currently offering four series including the Fund. The Fund's investment
objective  is to provide investors with as high a level of current income exempt
from  Federal  income  tax as is consistent with the preservation of capital and
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.

  The  Company accounts separately for the assets, liabilities and operations of
each  fund.  Expenses  directly  attributable  to  each fund are charged to that
fund' s  operations;  expenses  which  are applicable to all funds are allocated
among them on a pro rata basis.

  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 Company'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
represents  amortized cost. Under the terms of the custodian agreement, the Fund
receives net earnings credits based on available cash balances left on deposit.

  (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 $116,000
available  for  Federal  income  tax  purposes  to be applied against future net
securities  profits,  if  any,  realized  subsequent  to  August  31,  1998. The
carryover  does not include net realized securities losses from November 1, 1997
through  August 31, 1998, which are treated, for Federal income tax purposes, as
arising  in  fiscal  1999.  If  not  applied, $1,700 of the carryover expires in
fiscal  2001,  $2,000  expires  in  fiscal 2002, $50,300 expires in fiscal 2003,
$36,000  expires  in  fiscal  2004,  $25,000  expires  in fiscal 2005 and $1,000
expires in fiscal 2006.

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

<PAGE>


DREYFUS BASIC MUNICIPAL MONEY MARKET PORTFOLIO
- -----------------------------------------------------------------------------

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. The Manager has undertaken, until such
time  as  it  gives  shareholders  at  least 90 days' notice to the contrary, to
reduce  the  management  fee  paid  by  the  Fund, to the extent that the Fund's
aggregate  expenses,  exclusive  of taxes, brokerage, interest on borrowings and
extraordinary  expenses,  exceed an annual rate of .45 of 1% of the value of the
Fund' s  average  daily net assets. The reduction in management fee, pursuant to
the undertaking, amounted to $1,101,681 during the period ended August 31, 1998

  (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
August  31,  1998,  the  Fund  was  charged $457,978 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  August  31,  1998,  the Fund was charged $73,083 pursuant to the transfer
agency agreement.

  (c)  Each  director  who  is  not an "affiliated person" as defined in the Act
receives  from the Company an annual fee of $1,000 and an attendance fee of $250
per  meeting.  The  Chairman  of  the  Board  receives an additional 25% of such
compensation.


<PAGE>


DREYFUS BASIC MUNICIPAL MONEY MARKET PORTFOLIO
- -----------------------------------------------------------------------------

REPORT OF ERNST & YOUNG LLP, INDEPENDENT AUDITORS

Shareholders and Board of Directors

Dreyfus BASIC Municipal Money Market Portfolio

  We  have  audited  the  accompanying  statement  of  assets  and  liabilities,
including  the statement of investments, of Dreyfus BASIC Municipal Money Market
Portfolio (one of the Series constituting Dreyfus BASIC Municipal Fund, Inc.) as
of  August  31,  1998, and the related statement of operations for the year then
ended,  the  statement of changes in net assets for each of the two years in the
period  then  ended,  and  financial  highlights for each of the years indicated
therein.   These   financial   statements   and  financial  highlights  are  the
responsibility  of  the  Fund' s management. Our responsibility is to express an
opinion  on  these  financial  statements  and financial highlights based on our
audits.

  We  conducted  our  audits  in  accordance  with  generally  accepted auditing
standards.  Those standards require that we plan and perform the audit to obtain
reasonable  assurance  about  whether  the  financial  statements  and financial
highlights  are free of material misstatement. An audit includes examining, on a
test  basis,  evidence  supporting  the amounts and disclosures in the financial
statements  and  financial  highlights.  Our procedures included confirmation of
securities  owned as of August 31, 1998 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  BASIC  Municipal Money Market Portfolio at August 31, 1998, the results
of  its  operations  for  the year then ended, the changes in its net assets for
each of the two years in the period then ended, and the financial highlights for
each  of  the  indicated years, in conformity with generally accepted accounting
principles.




New York, New York

October 2, 1998




<PAGE>

DREYFUS BASIC MUNICIPAL MONEY MARKET PORTFOLIO
- -----------------------------------------------------------------------------

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 August
31,  1998  as  "exempt-interest  dividends"  (not  generally  subject to regular
Federal income tax).

<PAGE>


Dreyfus lion "d" logo                                   (reg.tm)

Dreyfus logo                                   (reg.tm)

DREYFUS BASIC MUNICIPAL

MONEY MARKET PORTFOLIO

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.                                              122AR988

BASIC Municipal

Money Market

Portfolio

Annual Report

August 31, 1998





<PAGE>



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