DREYFUS PREMIER STATE MUNICIPAL BOND FUND
N-30D, 1999-01-11
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DREYFUS PREMIER STATE MUNICIPAL BOND FUND, MARYLAND SERIES
- -----------------------------------------------------------------------------

LETTER TO SHAREHOLDERS

Dear Shareholder:

  We  are  pleased  to  report  the  performance  for  the Dreyfus Premier State
Municipal  Bond  Fund--Maryland  Series for the six-month reporting period ended
October 31, 1998, as shown in the following table:
<TABLE>
                                                                                                        ANNUALIZED

                                                                        TOTAL RETURN*               DISTRIBUTION RATE**
                                                                         ___________                  _______________
<S>                                                                         <C>                             <C>
        Class A shares . . . . . . . . . . . . . . . . . . . .              4.12%                           4.77%

        Class B shares . . . . . . . . . . . . . . . . . . . .              3.84%                           4.46%

        Class C shares . . . . . . . . . . . . . . . . . . . .              3.71%                           4.21%
</TABLE>

ECONOMY REVIEW

   In  the face of soaring consumer confidence and strong first-quarter economic
growth,  the  Federal Reserve Board (the "Fed") earlier this year refrained from
increasing  interest  rates,  partially  to  avoid further roiling international
financial  markets.  In  addition, the Fed evidently felt then that the economic
slowdown  overseas  might  curtail  the U.S. economy to some degree, which would
alleviate the need for monetary restraint. The Fed's expectations have proven to
be  true,  and its judgment accurate. The U.S. balance of trade has worsened and
there  have been increasing signs of a slowdown in export-related industries. On
September  29,  concerns  about a weakening U.S. economy caused the Federal Open
Market  Committee (the F.O.M.C. is the policy-making arm of the Fed) to pare the
Federal  Funds target rate by 25 basis points, the first reduction since January
1996.  (The  Federal  Funds  rate is the rate of interest that banks charge each
other for overnight loans.) At that point, Fed Chairman Alan Greenspan described
the  economic outlook for the United States as having "weakened measurably." Two
weeks  later,  on  October  15, the F.O.M.C. again reduced the target rate by an
additional 25 basis points, putting the Federal Funds rate at 5.0%.

  Despite  the  concerns  of  the  Fed regarding an economic slowdown, aggregate
economic  statistics showed a growing and resilient economy during the reporting
period.  Low  unemployment  and  negligible  inflation, combined with car makers
rebuilding  inventory  after a long strike and rising consumer incomes, resulted
in  solid  economic  growth  (3.3% ) for the third quarter of this year. While a
significant  portion  of  this gain was due to inventory replenishment after the
automobile   strike,   the  overall  results  were  still  an  improvement  over
second-quarter  economic  growth  of 1.8%. Inflation as measured by the Consumer
Price Index remained at levels not witnessed since 1963.

  The  Fed' s responsibility is to enact monetary policy that is anticipatory of
future  economic  conditions.  The  U.S.  trade  deficit  has continued to widen
because   of   the   global  economic  slide.  Slumping  exports  have  weakened
manufacturing  activity  since midyear, and there is concern that this slackness
could  become more pronounced and widen into other sectors of the economy. While
the  increase  in  imports  also  restrains  domestic  production, it has helped
contain  inflation  as  well,  since  domestic  producers are reluctant to raise
prices. This provides additional flexibility for the Fed to lower interest rates
still further. So far, economic problems overseas have not caused any measurable
reaction  in  the  U.S. labor market. Only the growth rate in new jobs has eased
from  its  torrid  pace  earlier in the year. The unemployment rate has remained
near  30-year  lows and worker inflation-adjusted take-home pay has been rising.
The  condition  of  the labor market is a key determinant of consumer confidence
which,  of  course, relates directly to consumer spending, a force that accounts
for  two  thirds  of all economic activity. Business spending has shown signs of
weakness,  so the role of the consumer will be of even greater importance in the
future. It is significant that measures of consumer confidence have receded from
earlier  record high levels, largely because of concerns about the volatility of
financial markets.

MARKET ENVIRONMENT

The supply of new issues in Maryland has been rather low and sporadic over the
last  six months. The Fund has not been able to make many purchases of new-issue
debt  at attractive levels because of this light supply. Demand has continued to
remain  strong over the last six months while supply is not expected to increase
until early December. The Fund intends to take advantage of this heavy supply by
purchasing the new issues when they are sold.

  Municipals  are still considered to be a very good investment when compared to
U.  S. Treasury bonds. A twenty-year insured AAA rated tax-exempt municipal bond
currently  yields  over 95% of the taxable thirty-year U. S. Treasury bond. Over
the last year, municipals have averaged 89% of Treasuries.

PORTFOLIO OVERVIEW

  In  general,  the Fund has wanted to maintain an aggressive investment posture
by  purchasing discounted securities, but has had only limited success executing
this  strategy  due  to  a  low supply of new issues. The supply of Maryland new
issues  is expected to dramatically increase in early December. The Fund intends
to  take  advantage of this new supply by purchasing these issues in the primary
market. Because demand has outstripped supply over the last few months, the Fund
has slowly sold modest discounts that had achieved our price objectives and were
yielding  a  low  return.  Certain types of investors tend to favor this type of
bond,   so   the   Fund  can  frequently  take  advantage  of  this  situation.

The Fund was able to purchase some modest premiums at attractive yields in the
secondary  market.  Our intention is to hold these investments until we are able
to  purchase  discounts  in  the  primary  market. After the discounts have been
purchased the Fund will selectively sell modest premiums which have achieved our
performance    goals.

  Lower  rated  issues  have  remained fairly expensive when compared to insured
securities.   The  Fund  continues  to  take  advantage  of  this  tight  spread
relationship  by  favoring  higher rated securities, which are more liquid. This
strategy  will  continue  to  give  the Fund more flexibility to react to a weak
market,    which    can    experience    liquidity    constraints.

The Fund's Class A shares had a six-month total return as of October 31, 1998,
of  4.12% ,* compared to the benchmark Lipper Maryland Municipal Bond average of
4.55%. Because the Fund was unable to purchase a significant amount of discounts
over  the  last six months while interest rates were falling, it was not able to
take  full advantage of an improving market that occurred through September. The
Fund  is  anticipating  a  strong  supply  of Maryland issues in December and is
positioning the Fund to take advantage of this opportunity in late 1998.

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

               Very truly yours,


               [Richard J. Moynihan signature logo]



               Richard J. Moynihan

               Director, Municipal Portfolio Management

               The Dreyfus Corporation

November 16, 1998

New York, N.Y.

*Total  return  includes  reinvestment of dividends and any capital gains paid,
and  does  not  take  into consideration the maximum initial sales charge in the
case  of  Class  A  shares,  or  the applicable contingent deferred sales charge
imposed  on redemptions in the case of Class B and Class C shares. Income may be
subject to state and local income taxes for non-Maryland residents.

**Distribution  rate per share is based upon dividends per share paid from net
investment  income  during  the  period  (annualized) , divided  by  the maximum
offering price per share at the end of the period in the case of Class A shares,
or the net asset value per share in the case of Class B and Class C shares. Some
income  may  be subject to the Federal Alternative Minimum Tax (AMT) for certain
shareholders.

<TABLE>
DREYFUS PREMIER STATE MUNICIPAL BOND FUND, MARYLAND SERIES
- -----------------------------------------------------------------------------

STATEMENT OF INVESTMENTS                         OCTOBER 31, 1998 (UNAUDITED)

                                                                                                  Principal

Municipal Bonds--97.7%                                                                             Amount             Value
- -------------------------------------------------------                                        _____________      _____________
<S>                                                                                           <C>                <C>
MARYLAND--86.9%

Baltimore:

   7%, 10/15/2007 (Insured; MBIA)  . . . . . . . . . . . . . . . . . . . . . . . . . . .      $    1,500,000     $    1,822,740

   7.15%, 10/15/2008   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           1,275,000          1,563,787

   (Tindeco Wharf Project) 6.60%, 12/20/2024 (Collateralized; GNMA)  . . . . . . . . . .           4,250,000          4,557,147

   Port Facilities Revenue (Consolidated Coal Sales) 6.50%, 12/1/2010  . . . . . . . . .           9,740,000         10,799,030

Baltimore City Housing Corp., MFHR, Refunding

   7.25%, 7/1/2023 (Collateralized; FNMA)  . . . . . . . . . . . . . . . . . . . . . . .           3,150,000          3,252,879

Baltimore County:

  Mortgage Revenue, Refunding:

       Zero coupon, 9/1/2024   . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           2,280,000            554,222

       (Burnam Woods) 5.20%, 9/1/2018 (Insured; FHA)   . . . . . . . . . . . . . . . . .           1,000,000          1,018,180

   Nursing Facility Mortgage Revenue (Eastpoint Rehabilitation & Nursing Centers):

       6.75%, 4/1/2015   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           1,000,000          1,014,710

       6.75%, 4/1/2028   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           1,500,000          1,508,475

   PCR, Refunding (Bethlehem Steel Corp. Project):

       7.50%, 6/1/2015   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           5,785,000          6,339,492

       7.55%, 6/1/2017   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           2,690,000          2,950,123

Frederick County, Retirement Community Revenue, (Buckinghams Choice, Inc.
Facility):

   5.90%, 1/1/2017   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           1,000,000          1,022,150

   6%, 1/1/2024  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .             750,000            769,440

Gaithersburg, Hospital Facilities Improvement Revenue, Refunding (Shady Grove)

   6.50%, 9/1/2012 (Insured; FSA)  . . . . . . . . . . . . . . . . . . . . . . . . . . .          10,000,000         12,129,300

Howard County, COP 8.15%, 2/15/2020  . . . . . . . . . . . . . . . . . . . . . . . . . .             605,000            860,492

Maryland Community Development Administration,

  Department of Housing and Community Development:

    Housing Revenue:

          5.65%, 7/1/2039  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           5,405,000          5,592,878

          5.75%, 7/1/2039 (Collateralized; GNMA)   . . . . . . . . . . . . . . . . . . .           1,220,000          1,272,289

       Multi-Family Development (Auburn Manor Project)

          5.30%, 10/1/2028   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           1,000,000          1,016,760

       MFHR:

          6.50%, 5/15/2013   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           3,000,000          3,229,950

          7.30%, 5/15/2023   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           2,205,000          2,337,917

          6.85%, 5/15/2033   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           5,000,000          5,326,850

          6.70%, 5/15/2036 (Insured; FHA)  . . . . . . . . . . . . . . . . . . . . . . .           7,710,000          8,422,867

       Single Family Program:

          7.40%, 4/1/2009  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           1,000,000          1,028,000

          6.95%, 4/1/2011  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           5,330,000          5,676,770

          7.70%, 4/1/2015  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           3,195,000          3,307,592

          6.55%, 4/1/2026  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           7,420,000          8,012,190

          6.75%, 4/1/2026  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           3,895,000          4,201,186

          7.375%, 4/1/2026   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           2,000,000          2,053,520

          Zero Coupon, 4/1/2029  . . . . . . . . . . . . . . . . . . . . . . . . . . . .          85,075,000          7,712,049

          7.625%, 4/1/2029   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           6,870,000          7,054,185

          7.45%, 4/1/2032  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           5,910,000          6,226,953

DREYFUS PREMIER STATE MUNICIPAL BOND FUND, MARYLAND SERIES
- -----------------------------------------------------------------------------

STATEMENT OF INVESTMENTS (CONTINUED)             OCTOBER 31, 1998 (UNAUDITED)
                                                                                                  Principal

Municipal Bonds (continued)                                                                         Amount             Value
- -------------------------------------------------------                                        _____________      _____________

MARYLAND (CONTINUED)

Maryland Economic Development Corp., Revenue:

  (Health and Mental Hygiene Providers Facilities Acquisition Program):

       8.375%, 3/1/2013  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      $    4,180,000     $    4,605,608

       8.75%, 3/1/2017   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           4,935,000          5,234,653

   Health Care Facility (Crescent Cities Project) 5.40%, 12/20/2027  . . . . . . . . . .           1,345,000          1,386,628

Maryland Health and Higher Educational Facilities Authority, Revenue:

   (Calvert Memorial Hospital) 5%, 7/1/2028  . . . . . . . . . . . . . . . . . . . . . .           2,000,000          1,966,440

   (College of Notre Dame) 4.65%, 10/1/2023    . . . . . . . . . . . . . . . . . . . . .           1,400,000          1,329,622

   (Johns Hopkins Medicine -- Howard County General Hospital Acquisition) 5%, 7/1/2029 .           4,750,000          4,716,513

   (Memorial Hospital at Easton) 4.70%, 7/1/2019 (Insured; MBIA)O    . . . . . . . . . .           5,550,000          5,353,974

   (Refunding -- Doctors Community Hospital) 5.50%, 7/1/2024   . . . . . . . . . . . . .           9,890,000          9,965,659

   (Refunding -- Helix Health Issue) 5%, 7/1/2027 (Insured; AMBAC)   . . . . . . . . . .           5,500,000          5,462,325

   (Refunding -- Howard County General Hospital) 5.50%, 7/1/2025   . . . . . . . . . . .           2,105,000          2,207,619

   (Refunding -- John Hopkins) 5%, 7/1/2023  . . . . . . . . . . . . . . . . . . . . . .           6,845,000          6,716,109

   (Refunding -- Roland Park Project) 7.75%, 7/1/2012  . . . . . . . . . . . . . . . . .           2,230,000          2,308,206

   (Refunding -- Upper Chesapeake Hospitals):

       5.50%, 1/1/2020 (Insured; FSA)  . . . . . . . . . . . . . . . . . . . . . . . . .           2,000,000          2,089,360

       5.375%, 1/1/2028 (Insured; FSA)   . . . . . . . . . . . . . . . . . . . . . . . .           1,500,000          1,536,495

   (Union Hospital of Cecil County):

       6.70%, 7/1/2009   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           2,320,000          2,653,198

       4.75%, 7/1/2013   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           1,840,000          1,814,074

       5.10%, 7/1/2022   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           2,500,000          2,451,000

   (University of Maryland Medical Systems) 7%, 7/1/2022 (Insured; FGIC)   . . . . . . .           4,500,000          5,788,665

Maryland Industrial Development Financing Authority, EDR

   (Medical Waste Association) 8.75%, 11/15/2010   . . . . . . . . . . . . . . . . . . .             710,000            720,678

Maryland Local Government Insurance Trust, Capitalization Program, COP

   7.125%, 8/1/2009  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           3,250,000          3,501,225

Maryland Stadium Authority, Sports Facility LR:

   7.60%, 12/15/2019   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           5,250,000          5,580,173

   5.80%, 3/1/2026 (Insured; AMBAC)  . . . . . . . . . . . . . . . . . . . . . . . . . .           3,500,000          3,769,570

Montgomery County Housing Opportunities Commission, Revenue:

  Multi-Family Mortgage:

       7.05%, 7/1/2032   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           2,485,000          2,632,286

       7.375%, 7/1/2032  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           2,140,000          2,236,557

   Single Family Mortgage:

       7.375%, 7/1/2017  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           1,760,000          1,817,552

       6.625%, 7/1/2026  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           1,015,000          1,099,184

       Zero Coupon, 7/1/2028   . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          41,975,000          8,295,939

Northeast Waste Disposal Authority, Solid Waste Revenue

  (Montgomery County Resource Recovery Project):

       6%, 7/1/2008  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           2,690,000          3,015,678

       6.20%, 7/1/2010   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          13,130,000         14,120,265

       6.30%, 7/1/2016   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          14,205,000         15,254,607

DREYFUS PREMIER STATE MUNICIPAL BOND FUND, MARYLAND SERIES
- -----------------------------------------------------------------------------

STATEMENT OF INVESTMENTS (CONTINUED)             OCTOBER 31, 1998 (UNAUDITED)
                                                                                                  Principal

Municipal Bonds (continued)                                                                         Amount             Value
- -------------------------------------------------------                                        _____________      _____________

MARYLAND (CONTINUED)

Prince Georges County, Refunding:

  Consolidated Public Improvement:

       6.75%, 7/1/2010   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      $    1,170,000     $    1,277,921

       4.75%, 4/15/2017 (Insured; MBIA)  . . . . . . . . . . . . . . . . . . . . . . . .           2,800,000          2,767,716

   Revenue (Dimensions Health Corp.) 5.30%, 7/1/2024   . . . . . . . . . . . . . . . . .           5,000,000          4,954,600

Prince Georges County Housing Authority:

  Mortgage Revenue:

       (Langley Gardens Apartment Project) 5.75%, 8/20/2029 (Collateralized; GNMA)   . .           1,000,000          1,046,190

       (Refunding -- New Keystone Apartment Project) 6.80%, 7/1/2025 (Insured: FHA & MBIA)         4,300,000          4,601,344

       (Refunding -- Riverview Terrace) 6.70%, 6/20/2020 (Collateralized; GNMA)  . . . .           2,000,000          2,182,760

       (Refunding -- Stevenson Apartments Project)
           6.35%, 7/20/2020 (Collateralized; GNMA)   . . . . . . . . . . . . . . . . . .           3,000,000          3,177,300

   SFMR:

       6.60%, 12/1/2025 (Collateralized: FNMA & GNMA)  . . . . . . . . . . . . . . . . .           4,660,000          5,000,180

       5.75%, 8/1/2026 (Collateralized: FNMA & GNMA)   . . . . . . . . . . . . . . . . .           5,000,000          5,198,800

U.S. RELATED--10.8%

Guam Airport Authority, Revenue 6.70%, 10/1/2023 . . . . . . . . . . . . . . . . . . . .          10,000,000         10,951,600

Puerto Rico Commonwealth Aqueduct and Sewer Authority, Revenue, Refunding

   5%, 7/1/2019  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          15,870,000         15,717,648

Puerto Rico Commonwealth Highway and Transportation Authority, Highway Revenue:

   5.40%, 7/1/2006 (Insured; FSA)  . . . . . . . . . . . . . . . . . . . . . . . . . . .           4,000,000          4,257,040

   5.50%, 7/1/2026 (Insured; MBIA)   . . . . . . . . . . . . . . . . . . . . . . . . . .           1,000,000          1,060,330

Puerto Rico Electric Power Authority, Power Revenue

   5.50%, 7/1/2025 (Insured; MBIA)   . . . . . . . . . . . . . . . . . . . . . . . . . .           3,000,000          3,152,490

                                                                                                                 ______________

TOTAL LONG-TERM MUNICIPAL INVESTMENTS (cost $298,420,711).......................................                   $317,609,904

                                                                                                                 ______________



Short-Term Municipal Investments--1.5%
- -------------------------------------------------------

Maryland;

Northeast Waste Disposal Authority, RRR, Refunding, VRDN

   (Harford County Resource) 2.95% (Insured; AMBAC) (a) (cost $4,965,000)  . . . . . . . .     $    4,965,000    $    4,965,000

                                                                                                                 ______________


TOTAL INVESTMENTS--100.0% (cost $303,385,711)  . . . . . . . . . . . . . . . . . . . . .                99.2%      $322,574,904

                                                                                                      _______    ______________


CASH AND RECEIVABLES (NET) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                 .8%    $     2,508,199

                                                                                                      _______    ______________

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .              100.0%       $325,083,103

                                                                                                      _______    ______________


DREYFUS PREMIER STATE MUNICIPAL BOND FUND, MARYLAND SERIES
- -----------------------------------------------------------------------------


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

AMBAC       American Municipal Bond Assurance Corporation           LR          Lease Revenue

COP         Certificate of Participation                            MBIA        Municipal Bond Investors Assurance

EDR         Economic Development Revenue                                           Insurance Corporation

FGIC        Financial Guaranty Insurance Company                    MFHR        Multi-Family Housing Revenue

FHA         Federal Housing Administration                          PCR         Pollution Control Revenue

FNMA        Federal National Mortgage Association                   RRR         Resources Recovery Revenue

FSA         Financial Security Assurance                            SFMR        Single Family Mortgage Revenue

GNMA        Government National Mortgage Association                VRDN        Variable Rate Demand Notes

SUMMARY OF COMBINED RATINGS (UNAUDITED)
- -----------------------------------------------------------------------------

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

______                             _______                           ________________                _________________

AAA                                Aaa                               AAA                                 27.6%

AA                                 Aa                                AA                                   33.2

A                                  A                                 A                                    22.3

BBB                                Baa                               BBB                                   7.2

F1 + & F1                          MIG1, VMIG1 & P1                  SP1 & A1                              1.5

Not Rated (b)                      Not Rated (b)                     Not Rated (b)                         8.2

                                                                                                        _______

                                                                                                         100.0%

                                                                                                        _______

                                                                                                        _______

NOTES TO STATEMENT OF INVESTMENTS:
- -----------------------------------------------------------------------------

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

(b)  Securities  which,  while not rated by Fitch, Moody's and Standard & Poor's
     have been   determined by the Manager to be of comparable quality to those
     rated securities in which the Fund may invest.

(c)  At  October  31,  1998,  the Fund had $87,655,199 (27.0% of net assets) and
     $108,022,217 (33.2% of net assets) invested in securities whose payment of
     principal and interest is dependent upon revenues generated from health
     care projects and housing projects, respectively.

                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>
DREYFUS PREMIER STATE MUNICIPAL BOND FUND, MARYLAND SERIES
- -----------------------------------------------------------------------------

STATEMENT OF ASSETS AND LIABILITIES              OCTOBER 31, 1998 (UNAUDITED)

                                                                                                    Cost              Value
                                                                                                _____________     _____________
<S>                                                                                              <C>               <C>
ASSETS:                          Investments in securities--See Statement of Investments . .     $303,385,711      $322,574,904

                                 Cash  . . . . . . . . . . . . . . . . . . . . . . . . . .                              991,635

                                 Interest receivable . . . . . . . . . . . . . . . . . . .                            4,978,696

                                 Receivable for shares of Beneficial Interest subscribed . .                            450,025

                                 Receivable for investment securities sold . . . . . . . .                              445,176

                                 Prepaid expenses  . . . . . . . . . . . . . . . . . . . .                               16,078

                                                                                                                 ______________

                                                                                                                    329,456,514

                                                                                                                 ______________


LIABILITIES:                     Due to The Dreyfus Corporation and affiliates . . . . . .                              156,564

                                 Due to Distributor  . . . . . . . . . . . . . . . . . . .                               94,101

                                 Payable for shares of Beneficial Interest redeemed  . . .                              171,607

                                 Payable for investment securities purchased . . . . . . .                            3,904,542

                                 Accrued expenses and liabilities  . . . . . . . . . . . .                               46,597

                                                                                                                 ______________

                                                                                                                      4,373,411

                                                                                                                 ______________


NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                         $325,083,103

                                                                                                                 ______________



REPRESENTED BY:                  Paid-in capital . . . . . . . . . . . . . . . . . . . . .                         $301,074,030

                                 Accumulated net realized gain (loss) on investments . . .                            4,819,879

                                 Accumulated net unrealized appreciation (depreciation)
                                   on investments--Note 4  . . . . . . . . . . . . . . . .                           19,189,194

                                                                                                                 ______________

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                         $325,083,103

                                                                                                                 ______________

                                                NET ASSET VALUE PER SHARE
                                ------------------------------------------------------------

                                                                               Class A            Class B           Class C

                                                                           ______________      ______________    ______________

Net Assets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .       $265,890,298       $  56,530,927      $  2,661,878

Shares Outstanding . . . . . . . . . . . . . . . . . . . . . . . . . .         20,071,427           4,266,874           200,784

NET ASSET VALUE PER SHARE. . . . . . . . . . . . . . . . . . . . . . .             $13.25              $13.25            $13.26

                                                                                  _______             _______           _______


                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>
DREYFUS PREMIER STATE MUNICIPAL BOND FUND, MARYLAND SERIES
- -----------------------------------------------------------------------------

STATEMENT OF OPERATIONS         SIX MONTHS ENDED OCTOBER 31, 1998 (UNAUDITED)

INVESTMENT INCOME
<S>                                                                                        <C>                   <C>
INCOME                           Interest Income . . . . . . . . . . . . . . . . .                               $  9,502,799

EXPENSES:                        Management fee--Note 3(a) . . . . . . . . . . . .         $    884,461

                                 Shareholder servicing costs--Note 3(c)  . . . . .              509,657

                                 Distribution fees--Note 3(b)  . . . . . . . . . .              141,325

                                 Professional fees . . . . . . . . . . . . . . . .               19,830

                                 Custodian fees  . . . . . . . . . . . . . . . . .               17,093

                                 Registration fees . . . . . . . . . . . . . . . .                8,189

                                 Prospectus and shareholders' reports  . . . . . .                7,733

                                 Trustees' fees and expenses--Note 3(d)  . . . . .                1,613

                                 Loan commitment fees--Note 2  . . . . . . . . . .                  913

                                 Miscellaneous . . . . . . . . . . . . . . . . . .                8,461

                                                                                           ____________

                                    Total Expenses . . . . . . . . . . . . . . . .                                  1,599,275

                                                                                                                 ____________

INVESTMENT INCOME--NET . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                                  7,903,524

REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS--Note 4:

                                 Net realized gain (loss) on investments . . . . .         $  2,280,971

                                 Net unrealized appreciation (depreciation)
                                    on investments . . . . . . . . . . . . . . . .            2,468,007

                                                                                           ____________

NET REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS . . . . . . . . . . . . . .                                  4,748,978

                                                                                                                 ____________

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS . . . . . . . . . . . . . . .                                $12,652,502

                                                                                                                 ____________


                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>
DREYFUS PREMIER STATE MUNICIPAL BOND FUND, MARYLAND SERIES
- -----------------------------------------------------------------------------

STATEMENT OF CHANGES IN NET ASSETS

                                                                                          Six Months Ended

                                                                                          October 31, 1998        Year Ended

                                                                                            (Unaudited)         April 30, 1998

                                                                                           _______________        _____________

OPERATIONS:
<S>                                                                                          <C>                   <C>
   Investment income--net  . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         $   7,903,524         $ 15,888,933

   Net realized gain (loss) on investments . . . . . . . . . . . . . . . . . . . . .             2,280,971            4,073,024

   Net unrealized appreciation (depreciation) on investments . . . . . . . . . . . .             2,468,007            8,042,789

                                                                                            ______________        _____________

          Net Increase (Decrease) in Net Assets Resulting from Operations  . . . . .            12,652,502           28,004,746

                                                                                            ______________        _____________

DIVIDENDS TO SHAREHOLDERS FROM:

  Investment income--net:

       Class A shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .            (6,666,293)         (13,655,457)

       Class B shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .            (1,193,783)          (2,196,616)

       Class C shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .               (43,448)             (36,860)

   Net realized gain on investments:

       Class A shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .               --                (3,083,888)

       Class B shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .               --                  (552,806)

       Class C shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .               --                    (9,259)

                                                                                            ______________        _____________

             Total Dividends . . . . . . . . . . . . . . . . . . . . . . . . . . . .            (7,903,524)         (19,534,886)

                                                                                            ______________        _____________

BENEFICIAL INTEREST TRANSACTIONS:

  Net proceeds from shares sold:

       Class A shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .             7,947,891            8,758,816

       Class B shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .             7,053,246            7,395,511

       Class C shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .               983,852            1,433,134

   Dividends reinvested:

       Class A shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .             4,177,724           10,820,042

       Class B shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .               741,268            1,800,125

       Class C shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                32,468               31,396

   Cost of shares redeemed:

       Class A shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           (12,748,772)         (30,922,294)

       Class B shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .            (2,171,890)          (5,603,825)

       Class C shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .               --                   (54,184)

                                                                                            ______________        _____________

          Increase (Decrease) in Net Assets from Beneficial Interest Transactions  .             6,015,787           (6,341,279)

                                                                                            ______________        _____________

             Total Increase (Decrease) in Net Assets . . . . . . . . . . . . . . . .            10,764,765            2,128,581

NET ASSETS:

   Beginning of Period . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           314,318,338          312,189,757

                                                                                            ______________        _____________

   End of Period . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          $325,083,103         $314,318,338

                                                                                            ______________        _____________


                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>
DREYFUS PREMIER STATE MUNICIPAL BOND FUND, MARYLAND SERIES
- -----------------------------------------------------------------------------

STATEMENT OF CHANGES IN NET ASSETS (CONTINUED)

                                                                                                      Shares
                                                                                         ________________________________

                                                                                          Six Months Ended

                                                                                          October 31, 1998        Year Ended

                                                                                            (Unaudited)         April 30, 1998
                                                                                           _______________      _____________
<S>                                                                                             <C>                  <C>
CAPITAL SHARE TRANSACTIONS:

  Class A

  ________

   Shares sold . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         601,318              669,128

   Shares issued for dividends reinvested  . . . . . . . . . . . . . . . . . . . . . . .         316,122              825,979

   Shares redeemed . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        (966,014)          (2,367,974)

                                                                                               _________          ___________

                                 Net Increase (Decrease) in Shares Outstanding . . . . .        (48,574)            (872,867)

                                                                                               _________          ___________


  Class B

  ________

   Shares sold . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         533,747              564,406

   Shares issued for dividends reinvested  . . . . . . . . . . . . . . . . . . . . . . .          56,070              137,404

   Shares redeemed . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .       (164,765)            (428,097)

                                                                                               _________          ___________

                                 Net Increase (Decrease) in Shares Outstanding . . . . .         425,052              273,713

                                                                                               _________          ___________


  Class C

  ________

   Shares sold . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          74,376              109,671

   Shares issued for dividends reinvested  . . . . . . . . . . . . . . . . . . . . . . .           2,545                2,391

   Shares redeemed . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .            --                 (4,128)

                                                                                               _________          ___________

                                 Net Increase (Decrease) in Shares Outstanding . . . . .          76,921              107,934

                                                                                               _________          ___________


                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>
DREYFUS PREMIER STATE MUNICIPAL BOND FUND, MARYLAND SERIES
- -----------------------------------------------------------------------------

FINANCIAL HIGHLIGHTS

  Contained  below  is  per  share  operating  performance  data  for a share of
Beneficial  Interest 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.


                                      Class A Shares
                                                       _______________________________________________________________________

                                                 Six Months Ended
                                                 October 31, 1998                       Year Ended April 30,
                                                                      _______________________________________________________

PER SHARE DATA:                                   (Unaudited)      1998          1997         1996         1995         1994

                                                   __________      _______      _______      _______       _______      _______
<S>                                                    <C>          <C>          <C>          <C>           <C>          <C>
   Net asset value, beginning of period  . . . . .     $13.05       $12.70       $12.69       $12.54        $12.46       $13.02

                                                      _______      _______      _______      _______       _______      _______

   Investment Operations:

   Investment income--net  . . . . . . . . . . . .        .33          .67          .68          .67           .70          .73

   Net realized and unrealized gain (loss)
       on investments  . . . . . . . . . . . . . .        .20          .50          .18          .23           .08         (.53)

                                                      _______      _______      _______      _______       _______      _______

   Total from Investment Operations  . . . . . . .        .53         1.17          .86          .90           .78          .20

                                                      _______      _______      _______      _______       _______      _______

   Distributions:

   Dividends from investment income--net . . . . .       (.33)        (.67)        (.68)        (.67)         (.70)        (.73)

   Dividends from net realized gain
       on investments  . . . . . . . . . . . . .           --         (.15)        (.17)        (.08)           --         (.03)

                                                      _______      _______      _______      _______       _______      _______

   Total Distributions . . . . . . . . . . . . . .       (.33)        (.82)        (.85)        (.75)         (.70)        (.76)

                                                      _______      _______      _______      _______       _______      _______

   Net asset value, end of period  . . . . . . . .     $13.25       $13.05       $12.70       $12.69        $12.54       $12.46

                                                      _______      _______      _______      _______       _______      _______


TOTAL INVESTMENT RETURN(1) . . . . . . . . . . . .       8.17%(2)     9.40%        6.91%        7.24%         6.52%        1.33%

RATIOS/SUPPLEMENTAL DATA:

   Ratio of expenses to average net assets . . . .        .90%(2)      .90%         .90%         .90%          .90%         .80%

   Ratio of net investment income
       to average net assets . . . . . . . . . . .       5.01%(2)     5.12%        5.29%        5.23%         5.69%        5.51%

   Decrease reflected in above expense ratios due
       to undertakings by the Manager  . . . . . .         --           --           --           --           .01%         .10%

   Portfolio Turnover Rate . . . . . . . . . . . .      12.10%(3)    18.12%       43.63%       41.65%        35.39%      (10.27%)

   Net Assets, end of period (000's Omitted) . . .   $265,890     $262,560     $266,658     $283,878      $301,834     $335,518
- --------------

(1) Exclusive of sales load.

(2) Annualized.

(3) Not annualized.

                      SEE NOTES TO FINANCIAL STATEMENTS.

DREYFUS PREMIER STATE MUNICIPAL BOND FUND, MARYLAND SERIES
- -----------------------------------------------------------------------------

FINANCIAL HIGHLIGHTS (CONTINUED)

  Contained  below  is  per  share  operating  performance  data  for a share of
Beneficial  Interest 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.


                                                                                  Class B Shares

                                                   _________________________________________________________________________

                                                 Six Months Ended
                                                 October 31, 1998                        Year Ended April 30,

                                                                      _______________________________________________________

PER SHARE DATA:                                      (Unaudited)     1998        1997         1996          1995         1994

                                                     __________    _______      _______      _______       _______      _______

   Net asset value, beginning of period  . . . . .     $13.05       $12.70       $12.69       $12.54        $12.46       $13.02

                                                      _______      _______      _______      _______       _______      _______

   Investment Operations:

   Investment income--net  . . . . . . . . . . . .        .30          .60          .61          .61           .63          .65

   Net realized and unrealized gain (loss)
       on investments  . . . . . . . . . . . . . .        .20          .50          .18          .23           .08         (.53)

                                                      _______      _______      _______      _______       _______      _______

   Total from Investment Operations  . . . . . . .        .50         1.10          .79          .84           .71          .12

                                                      _______      _______      _______      _______       _______      _______

   Distributions:

   Dividends from investment income--net . . . . .       (.30)        (.60)        (.61)        (.61)         (.63)        (.65)

   Dividends from net realized gain
       on investments  . . . . . . . . . . . . .           --         (.15)        (.17)        (.08)           --         (.03)

                                                      _______      _______      _______      _______       _______      _______

   Total Distributions . . . . . . . . . . . . . .       (.30)        (.75)        (.78)        (.69)         (.63)        (.68)

                                                      _______      _______      _______      _______       _______      _______

   Net asset value, end of period  . . . . . . . .     $13.25       $13.05       $12.70       $12.69        $12.54       $12.46

                                                      _______      _______      _______      _______       _______      _______

TOTAL INVESTMENT RETURN(1) . . . . . . . . . . . .       7.62%(2)     8.83%        6.34%        6.66%         5.94%         .75%

RATIOS/SUPPLEMENTAL DATA:

   Ratio of expenses to average net assets . . . .       1.43%(2)     1.42%        1.43%        1.43%         1.44%        1.37%

   Ratio of net investment income
        to average net assets  . . . . . . . . . .       4.47%(2)     4.59%        4.75%        4.68%         5.13%        4.82%

   Decrease reflected in above expense ratios due
       to undertakings by the Manager  . . . . . .         --           --           --           --           .01%         .08%

   Portfolio Turnover Rate . . . . . . . . . . . .      12.10%(3)    18.12%       43.63%       41.65%        35.39%      (10.27%)

   Net Assets, end of period (000's Omitted) . . .    $56,531      $50.141      $45,329      $41,179       $35,090      $30,527

- ---------

(1) Exclusive of sales load.

(2) Annualized.

(3) Net annualized.

                      SEE NOTES TO FINANCIAL STATEMENTS.

DREYFUS PREMIER STATE MUNICIPAL BOND FUND, MARYLAND SERIES
- -----------------------------------------------------------------------------

FINANCIAL HIGHLIGHTS (CONTINUED)

  Contained  below  is  per  share  operating  performance  data  for a share of
Beneficial  Interest 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.


                                                                                             Class C Shares
                                                                             ________________________________________________

                                                                           Six Months Ended

                                                                           October 31, 1998        Year Ended April 30,

                                                                                              _______________________________

PER SHARE DATA:                                                             (Unaudited)     1998        1997         1996(1)

                                                                             _________    _______      _______       _______

   Net asset value, beginning of period  . . . . . . . . . . . . . . . . .    $13.06       $12.71       $12.69        $12.67

                                                                             _______      _______      _______       _______

   Investment Operations:

   Investment income (loss)--net . . . . . . . . . . . . . . . . . . . . .      .28           .57          .58           .41

   Net realized and unrealized gain (loss) on investments  . . . . . . . .      .20           .50          .19           .10

                                                                             _______      _______      _______       _______

   Total from Investment Operations  . . . . . . . . . . . . . . . . . . .      .48          1.07          .77           .51

                                                                             _______      _______      _______       _______

   Distributions:

   Dividends from investment income--net . . . . . . . . . . . . . . . . .      (.28)        (.57)        (.58)         (.41)

   Dividends from net realized gain on investments . . . . . . . . . . . .        --         (.15)        (.17)         (.08)

                                                                             _______      _______      _______       _______

   Total Distributions . . . . . . . . . . . . . . . . . . . . . . . . . .      (.28)        (.72)        (.75)         (.49)

                                                                             _______      _______      _______       _______

   Net asset value, end of period  . . . . . . . . . . . . . . . . . . . .    $13.26       $13.06       $12.71        $12.69

                                                                             _______      _______      _______       _______


TOTAL INVESTMENT RETURN (2). . . . . . . . . . . . . . . . . . . . . . . .      7.36%(3)     8.55%        6.16%         5.57%(3)

RATIOS/SUPPLEMENTAL DATA:

   Ratio of expenses to average net assets . . . . . . . . . . . . . . . .      1.67%(3)     1.67%        1.64%         1.80%(3)

   Ratio of net investment income to average net assets  . . . . . . . . .      4.17%(3)     4.29%        4.47%         4.59%(3)

   Portfolio Turnover Rate . . . . . . . . . . . . . . . . . . . . . . . .     12.10%(4)    18.12%       43.63%        41.65%

   Net Assets, end of period (000's Omitted) . . . . . . . . . . . . . . .    $2,662       $1,618         $202           $27

- ---------

(1)  From August 15, 1995 (commencement of initial offering) to April 30, 1996.

(2)  Exclusive of sales load.

(3)  Annualized.

(4)  Not annualized.

                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
DREYFUS PREMIER STATE MUNICIPAL BOND FUND, MARYLAND SERIES
- -----------------------------------------------------------------------------

NOTES TO FINANCIAL STATEMENTS (UNAUDITED)

NOTE 1--SIGNIFICANT ACCOUNTING POLICIES:

  Dreyfus  Premier  State  Municipal Bond Fund (the "Trust") is registered under
the  Investment  Company  Act  of 1940 (the "Act") as a non-diversified open-end
management  investment  company,  and  operates  as  a  series company currently
offering  thirteen series including the Maryland Series (the "Fund"). The Fund's
investment  objective  is  to  maximize  current income exempt from Federal and,
where  applicable,  from  State  income  taxes,  without undue risk. 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. (the "Distributor") is the distributor of
the  Fund's shares. The Fund is authorized to issue an unlimited number of $.001
par  value shares in the following classes of shares: Class A, Class B and Class
C  shares.  Class  A shares are subject to a sales charge imposed at the time of
purchase,  Class  B  shares  are  subject  to a contingent deferred sales charge
(" CDSC") imposed on Class B share redemptions made within six years of purchase
(five  years for shareholders beneficially owning Class B shares on November 30,
1996)  and  Class  C  shares  are  subject  to  a CDSC imposed on Class C shares
redeemed  within  one  year  of  purchase. Other differences between the classes
include the services offered to and the expenses borne by each class and certain
voting rights.

  The  Trust  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.

  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 (excluding options and
financial  futures  on  municipal  and U.S. treasury securities) are valued each
business day by an independent pricing service ("Service") approved by the Board
of  Trustees.  Investments for which quoted bid prices are readily available and
are  representative of the bid side of the market in the judgment of the Service
are valued at the mean between the quoted bid prices (as obtained by the Service
from  dealers in such securities) and asked prices (as calculated by the Service
based  upon its evaluation of the market for such securities). Other investments
(which  constitute  a  majority of the portfolio securities) are carried at fair
value as determined by the Service, based on methods which include consideration
of:  yields  or  prices  of  municipal securities of comparable quality, coupon,
maturity  and  type;  indications  as to values from dealers; and general market
conditions.  Options  and  financial  futures  on  municipal  and  U.S. treasury
securities  are  valued  at  the  last sales price on the securities exchange on
which  such  securities  are  primarily traded or at the last sales price on the
national  securities  market  on each business day. Investments not listed on an
exchange  or  the national securities market, or securities for which there were
no  transactions,  are  valued  at  the average of the most recent bid and asked
prices. Bid price is used when no asked price is available.

(B) SECURITIES TRANSACTIONS AND INVESTMENT INCOME: Securities transactions are
recorded  on  a  trade  date  basis.   Realized  gain  and  loss from securities
transactions  are  recorded  on  the  identified  cost  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.
Securities  purchased  or sold on a when-issued or delayed-delivery basis may be
settled  a  month  or  more after the trade date. Under the terms of the custody
agreement,  the  Fund received net earnings credits of $11,633 during the period
ended  October 31, 1998 based on available cash balances left on deposit. Income
earned under this arrangement is included in interest income.

DREYFUS PREMIER STATE MUNICIPAL BOND FUND, MARYLAND SERIES
- -----------------------------------------------------------------------------

NOTES TO FINANCIAL STATEMENTS (UNAUDITED) (CONTINUED)

  The  Fund  follows  an  investment  policy of investing primarily in municipal
obligations  of  one  state. Economic changes affecting the state and certain of
its  public  bodies  and municipalities may affect the ability of issuers within
the  state to pay interest on, or repay principal of, municipal obligations held
by the Fund.

  (C)  DIVIDENDS  TO  SHAREHOLDERS:  It  is  the  policy  of the Fund to declare
dividends  daily  from  investment  income-net. Such dividends are paid monthly.
Dividends  from  net  realized  capital  gain  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,  if  any,  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.

NOTE 2--BANK LINE OF CREDIT:

  The  Fund  participates  with  other  Dreyfus-managed  funds in a $600 million
redemption  credit  facility  (" Facility" ) to  be  utilized  for  temporary or
emergency  purposes,  including  the  financing  of  redemptions.  In connection
therewith, the Fund has agreed to pay commitment fees on its pro rata portion of
the  Facility.  Interest  is  charged  to  the Fund at rates based on prevailing
market  rates  in  effect at the time of the borrowings. During the period ended
October 31, 1998, the Fund did not borrow under the Facility.

NOTE 3--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 .55 of 1% of the value of the Fund's average
daily net assets and is payable monthly.

  Dreyfus  Service  Corporation,  a  wholly-owned  subsidiary  of  the  Manager,
retained  $000 during the period ended October 31, 1998, from commissions earned
on sales of the Fund's shares.

  (B)  Under the Distribution Plan adopted pursuant to Rule 12b-1 under the Act,
Class  B and Class C shares pay the Distributor for distributing their shares at
an  annual  rate  of  .50  of 1% of the value of the average daily net assets of
Class  B  shares  and  .75 of 1% of the value of the average daily net assets of
Class  C  shares.  During the period ended October 31, 1998, Class B and Class C
shares   were  charged  $133,508  and  $7,817,  respectively,  pursuant  to  the
Distribution Plan.

  (C)  Under  the Shareholder Services Plan, Class A, Class B and Class C shares
pay the Distributor at an annual rate of .25 of 1% of the value of their average
daily  net  assets  for the provision of certain services. 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.  The  Distributor  may  make  payments to Service Agents (a securities
dealer,  financial  institution  or  other  industry professional) in respect of
these  services.  The  Distributor  determines the amounts to be paid to Service
Agents.  During  the period ended October 31, 1998, Class A, Class B and Class C
shares  were charged $332,668, $66,754 and $2,606, respectively, pursuant to the
Shareholder Services Plan.

DREYFUS PREMIER STATE MUNICIPAL BOND FUND, MARYLAND SERIES
- -----------------------------------------------------------------------------

NOTES TO FINANCIAL STATEMENTS (UNAUDITED) (CONTINUED)

  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  October  31,  1998, the Fund was charged $70,668 pursuant to the transfer
agency agreement.

  (D)  Each  trustee  who  is  not  an "affiliated person" as defined in the Act
receives  from  the  Trust an annual fee of $2,500 and an attendance fee of $250
per  meeting.  The  Chairman  of  the  Board  receives an additional 25% of such
compensation.

NOTE 4--SECURITIES TRANSACTIONS:

  The  aggregate  amount  of  purchases  and  sales  of  investment  securities,
excluding  short-term  securities,  during  the  period  ended  October 31, 1998
amounted to $41,634,059 and $37,949,198, respectively.

  At  October  31,  1998, accumulated net unrealized appreciation on investments
was  $19,189,193,  consisting  of  $20,484,847 gross unrealized appreciation and
$1,295,654 gross unrealized depreciation.

  At  October  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).

  (


DREYFUS PREMIER STATE MUNICIPAL

BOND FUND, MARYLAND SERIES

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.                                         052/616SA9810

                              SEMI-ANNUAL REPORT
- -------------------------------------------------------------------------------

                             DREYFUS PREMIER STATE

                              MUNICIPAL BOND FUND

                                MARYLAND SERIES
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                               OCTOBER 31, 1998






















































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