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

LETTER TO SHAREHOLDERS

Dear Shareholder:

  We  are  pleased to report the performance for Dreyfus Premier State Municipal
Bond Fund -- Georgia 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 . . . . . . . . . . . . . . . . . . . .              5.29%                           4.12%

        Class B shares . . . . . . . . . . . . . . . . . . . .              5.04%                           3.85%

        Class C shares . . . . . . . . . . . . . . . . . . . .              4.75%                           3.30%
</TABLE>

THE ECONOMY

  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., 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 its 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 anticipates 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

  In  general,  fixed-income securities have traded in a downward-spiked pattern
since  appreciating dramatically and topping in mid-October. Market participants
have been greatly influenced by the overall trend to purchase what are perceived
to  be  safer  securities (For example, U.S. Treasury notes and bonds), which is
mainly  inspired  by  the  Asian economic crisis. This crisis, and that of other
countries,  has prompted expectations of domestic economic contraction, creating
the  perception  that  bonds  whose  credit quality is dependent on the business
cycle  are  vulnerable. Therefore, many securities, such as corporate, mortgage,
asset  backed,  or  project  related  bonds,  have  traded  off  in this period.
Currently, the expectation is that the interest rate spreads between these types
of  securities  and  Treasuries  will  remain  wide.  Additionally,  the  recent
exaggerated  nature  of  short-term  price  performance  (both  up and down) was
greatly  influenced  by  the financial problems of leveraged hedge funds and the
quick  response  by  the  Federal Reserve. The municipal market focused on these
trends, and its participants initially benefited from the same direction, though
not  to  the  same  level  of  appreciation,  as  the  Treasury  bond  markets.
Correspondingly,  municipals  outperformed  Treasuries  in  the  market's recent
downward price adjustment, retaining more of their value.

PORTFOLIO OVERVIEW

  At  the  outset  of  the  six-month  period  which ended October 31, 1998, the
Dreyfus Premier State Municipal Bond Fund -- Georgia Series was actively selling
both  5%  and  5.25% coupons. The purpose of this activity was aimed at managing
the volatility that was present in the municipal market. We felt that attempting
to  predict  precisely  the  timing  of the ebb and flow of these market changes
would  be  difficult  at best. Instead, we focused our efforts on shortening the
Series'  average  maturity by selling a modest portion of long maturity discount
bonds  and  zero coupon bonds, with long maturities and purchasing higher coupon
municipal securities.

  By  late  summer,  the  Series was being managed utilizing a more conservative
approach  in  order to balance recurring volatility in the municipal bond market
with  the  ongoing  objective  of  obtaining value. The Series is currently well
balanced  across the coupon range. While it is entirely possible that the market
may  again  see  periods  of  volatility,  the  bond market is currently gaining
positive  momentum. We have been monitoring this shift and have made appropriate
adjustments to the Series.

Our primary tasks, which guide our portfolio management decisions, are to earn
a high level of current income to the extent consistent with the preservation of
capital  while  maintaining  the  Series'  high credit quality. Included in this
report  is  a  series  of detailed statements outlining the Series' holdings and
financial  condition.  We hope they are informative. Please know that we greatly
appreciate your continued confidence in the Series and The Dreyfus Corporation.

               Sincerely,

               [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 contingent applicable 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-Georgia 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, GEORGIA SERIES
- -----------------------------------------------------------------------------


STATEMENT OF INVESTMENTS                         OCTOBER 31, 1998 (UNAUDITED)

                                                                                                 Principal

Long-Term Municipal Investments--98.2%                                                             Amount            Value
- -------------------------------------------------------
                                                                                                 ____________      ____________
<S>                                                                                               <C>               <C>
Atlanta, 6.10%, 12/1/2019. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        $ 1,000,000       $ 1,114,590

Atlanta Urban Residential Finance Authority, MFHR

   (New Community) 5.50%, 11/20/2027 (Collateralized; GNMA)  . . . . . . . . . . . . . . .          1,325,000         1,356,839

Baldwin County Hospital Authority, Revenue

   (Oconee Regional Medical Center) 5.25%, 12/1/2022 . . . . . . . . . . . . . . . . . . .          1,000,000           984,500

Barrow County School District 5.60%, 2/1/2015 (Insured; MBIA). . . . . . . . . . . . . . .          1,000,000         1,074,670

Brunswick & Glynn County Development Authority, Revenue, Refunding

   (Pacific Corp. Project) 5.55%, 3/1/2026 . . . . . . . . . . . . . . . . . . . . . . . .          1,000,000         1,006,610

Clayton County and Clayton County Water Authority, Water and Sewer Revenue,
Refunding

   5.60%, 5/1/2013 (Insured; AMBAC)  . . . . . . . . . . . . . . . . . . . . . . . . . . .          1,200,000         1,304,544

Colquitt County Hospital Authority, Refunding 5.50%, 3/1/2016 (Insured; FSA) . . . . . . .          1,000,000         1,050,950

Columbia County, Water and Sewer Revenue, Refunding

   5.40%, 6/1/2011 (Insured; AMBAC)  . . . . . . . . . . . . . . . . . . . . . . . . . . .            750,000           811,380

Douglasville-Douglas County Water and Sewer Authority,

   Water and Sewer Revenue, Refunding 4.50%, 6/1/2023 (Insured; FGIC)  . . . . . . . . . .          1,000,000           933,010

Fayette County School District 6.125%, 3/1/2015. . . . . . . . . . . . . . . . . . . . . .            500,000           550,150

Fulton County, Water and Sewer Revenue, Refunding

   6.375%, 1/1/2014 (Insured; FGIC)  . . . . . . . . . . . . . . . . . . . . . . . . . . .            260,000           310,001

   6.375%, 1/1/2014 (Insured; FGIC)  . . . . . . . . . . . . . . . . . . . . . . . . . . .             30,000            35,430

Gainesville, Water and Sewer Revenue, Refunding 6%, 11/15/2012 (Insured; FGIC) . . . . . .            300,000           347,649

Georgia:

   6.65%, 3/1/2009 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          1,000,000         1,207,860

   5.65%, 3/1/2012 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          1,000,000         1,122,340

Georgia Housing and Finance Authority, SFMR :

   7%, 12/1/2015 (Insured; FHA)  . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          1,500,000         1,616,295

   6.50%, 12/1/2017 (Insured; FHA) . . . . . . . . . . . . . . . . . . . . . . . . . . . .          1,000,000         1,072,740

   Zero Coupon, 12/1/2028  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          6,000,000         1,122,420

Georgia Municipal Gas Authority, Gas Revenue (Warner Robins Project)

   5.80%, 1/1/2015 (Insured; MBIA) . . . . . . . . . . . . . . . . . . . . . . . . . . . .          1,000,000         1,090,730

Glynn-Brunswick Memorial Hospital Authority (Southeast Georgia Health)

   5.25%, 8/1/2013 (Insured; MBIA) . . . . . . . . . . . . . . . . . . . . . . . . . . . .          1,000,000         1,043,750

Marietta Development Authority, Revenue, Refunding (First Mortgage-Life College)

   5.75%, 9/1/2014 (Insured; FSA)  . . . . . . . . . . . . . . . . . . . . . . . . . . . .            850,000           924,154

Meriwether County School District 5.50%, 2/1/2016 (Insured; FSA) . . . . . . . . . . . . .          1,000,000         1,062,330

Metropolitan Atlanta Rapid Transportation Authority, Sales Tax Revenue,
Refunding

   6.25%, 7/1/2020 (Insured; AMBAC)  . . . . . . . . . . . . . . . . . . . . . . . . . . .            300,000           353,898

Private Colleges and Universities Authority, Revenue, Refunding

   (Spellman College Project) 6.20%, 6/1/2014 (Insured; FGIC)  . . . . . . . . . . . . . .          1,000,000         1,115,270

                                                                                                                  _____________

TOTAL INVESTMENTS (cost $20,982,192) . . . . . . . . . . . . . . . . . . . . . . . . . .               98.2%        $22,612,110

                                                                                                      _______     _____________


CASH AND RECEIVABLES (NET) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                1.8%     $      406,568

                                                                                                      _______     _____________

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .              100.0%        $23,018,678

                                                                                                      _______     _____________

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

Summary of Abbreviations (Unaudited)
- -----------------------------------------------------------------------------

AMBAC       American Municipal Bond Assurance Corporation           MBIA        Municipal Bond Investors Assurance

FGIC        Financial Guaranty Insurance Company                                  Insurance Corporation

FHA         Federal Housing Administration                          MFHR        Multi-Family Housing Revenue

FSA         Financial Security Assurance                            SFMR        Single Family Mortgage Revenue

GNMA        Government National Mortgage Association




Summary of Combined Ratings (Unaudited)
- -----------------------------------------------------------------------------

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

______                             _______                           ________________                _________________

AAA                                Aaa                               AAA                                  83.8%

AA                                 Aa                                AA                                    7.4

BBB                                Baa                               BBB                                   8.8

                                                                                                        _______

                                                                                                         100.0%

                                                                                                        _______


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

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

                                                                                                     Cost            Value
                                                                                                 ____________      ____________
<S>                                                                                               <C>               <C>
ASSETS:                          Investments in securities--See Statement of Investments . .      $20,982,192       $22,612,110

                                 Cash  . . . . . . . . . . . . . . . . . . . . . . . . . .                               44,210

                                 Interest receivable . . . . . . . . . . . . . . . . . . .                              380,666

                                 Prepaid expenses  . . . . . . . . . . . . . . . . . . . .                                2,660

                                                                                                                  _____________

                                                                                                                     23,039,646

                                                                                                                  _____________


LIABILITIES:                     Due to The Dreyfus Corporation and affiliates . . . . . .                                8,944

                                 Due to Distributor  . . . . . . . . . . . . . . . . . . .                               12,024

                                                                                                                  _____________

                                                                                                                         20,968

                                                                                                                  _____________


NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                          $23,018,678

                                                                                                                  _____________



REPRESENTED BY:                  Paid-in capital . . . . . . . . . . . . . . . . . . . . .                          $21,582,812

                                 Accumulated net realized gain (loss) on investments . . .                            (194,052)

                                 Accumulated net unrealized appreciation (depreciation)
                                   on investments--Note 4  . . . . . . . . . . . . . . . .                            1,629,918

                                                                                                                  _____________

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                          $23,018,678

                                                                                                                  _____________


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

                                                                               Class A            Class B           Class C

                                                                             ____________       _____________    ______________

Net Assets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         $6,441,762         $16,563,269   $        13,647

Shares Outstanding . . . . . . . . . . . . . . . . . . . . . . . . . .            458,851           1,179,316               973

NET ASSET VALUE PER SHARE. . . . . . . . . . . . . . . . . . . . . . .             $14.04              $14.04            $14.03

                                                                                  _______             _______           _______










                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>

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

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

INVESTMENT INCOME
<S>                                                                                       <C>                       <C>
INCOME                           Interest Income . . . . . . . . . . . . . . . . .                                  $   635,345

EXPENSES:                        Management fee--Note 3(a) . . . . . . . . . . . .        $      65,181

                                 Distribution fees--Note 3(b)  . . . . . . . . . .               43,392

                                 Shareholder servicing costs--Note 3(c)  . . . . .               34,903

                                 Prospectus and shareholders' reports  . . . . . .                5,206

                                 Professional fees . . . . . . . . . . . . . . . .                4,282

                                 Registration fees . . . . . . . . . . . . . . . .                2,237

                                 Custodian fees  . . . . . . . . . . . . . . . . .                  885

                                 Trustees' fees and expenses--Note 3(d)  . . . . .                  146

                                 Loan commitment fees--Note 2  . . . . . . . . . .                   32

                                 Miscellaneous . . . . . . . . . . . . . . . . . .                2,860

                                                                                           ____________

                                    Total Expenses . . . . . . . . . . . . . . . .                                      159,124

                                                                                                                    ___________

INVESTMENT INCOME--NET . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                                      476,221

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



                                 Net realized gain (loss) on investments . . . . .         $    418,123

                                 Net unrealized appreciation (depreciation)
                                    on investments . . . . . . . . . . . . . . . .              279,883

                                                                                           ____________

NET REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS . . . . . . . . . . . . . .                                      698,006

                                                                                                                    ___________

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS . . . . . . . . . . . . . . .                                   $1,174,227

                                                                                                                    ___________










                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>

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

STATEMENT OF CHANGES IN NET ASSETS

                                                                                         Six Months Ended

                                                                                         October 31, 1998        Year Ended

                                                                                             (Unaudited)        April 30, 1998

                                                                                           _______________      _______________
<S>                                                                                          <C>                   <C>
OPERATIONS:

   Investment income--net  . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         $     476,221         $  1,014,157

   Net realized gain (loss) on investments . . . . . . . . . . . . . . . . . . . . .               418,123               52,283

   Net unrealized appreciation (depreciation) on investments . . . . . . . . . . . .               279,883              723,425

                                                                                             _____________         ____________

          Net Increase (Decrease) in Net Assets Resulting from Operations  . . . . .             1,174,227            1,789,865

                                                                                             _____________         ____________

DIVIDENDS TO SHAREHOLDERS FROM:

  Investment income--net:

       Class A shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .              (138,948)            (307,129)

       Class B shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .              (336,555)            (705,439)

       Class C shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                  (718)              (1,589)

                                                                                             _____________         ____________

             Total Dividends . . . . . . . . . . . . . . . . . . . . . . . . . . . .              (476,221)          (1,014,157)

                                                                                             _____________         ____________

BENEFICIAL INTEREST TRANSACTIONS:

  Net proceeds from shares sold:

       Class A shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .               325,105            1,034,483

       Class B shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .               234,359            1,001,862

       Class C shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                 1,198               14,318

   Dividends reinvested:

       Class A shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                88,875              210,772

       Class B shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .               162,552              349,972

       Class C shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                   371                1,014

   Cost of shares redeemed:

       Class A shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .              (392,517)          (1,833,199)

       Class B shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .            (1,900,075)          (2,556,894)

       Class C shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .               (31,303)             (79,498)

                                                                                             _____________         ____________

          Increase (Decrease) in Net Assets from Beneficial Interest Transactions  .            (1,511,435)          (1,857,170)

                                                                                             _____________         ____________

             Total Increase (Decrease) in Net Assets . . . . . . . . . . . . . . . .              (813,429)          (1,081,462)

NET ASSETS:

   Beginning of Period . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .            23,832,107           24,913,569

                                                                                             _____________         ____________

   End of Period . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           $23,018,678          $23,832,107

                                                                                             _____________         ____________









                      SEE NOTES TO FINANCIAL STATEMENTS.

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

STATEMENT OF CHANGES IN NET ASSETS (CONTINUED)

                                                                                                        Shares
                                                                                          ________________________________

                                                                                       Six Months Ended

                                                                                       October 31, 1998         Year Ended

                                                                                           (Unaudited)         April 30, 1998

                                                                                         _______________        _____________

CAPITAL SHARE TRANSACTIONS:

  Class A

  ________

   Shares sold . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          23,278               76,833

   Shares issued for dividends reinvested  . . . . . . . . . . . . . . . . . . . . . . .           6,374               15,405

   Shares redeemed . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         (28,107)            (134,087)

                                                                                               _________          ___________

                                 Net Increase (Decrease) in Shares Outstanding . . . . .           1,545             (41,849)

                                                                                               _________          ___________


  Class B

  ________

   Shares sold . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          16,912               72,878

   Shares issued for dividends reinvested  . . . . . . . . . . . . . . . . . . . . . . .          11,657               25,567

   Shares redeemed . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        (137,176)            (187,669)

                                                                                               _________          ___________

                                 Net Increase (Decrease) in Shares Outstanding . . . . .       (108,607)             (89,224)

                                                                                               _________          ___________


  Class C

  ________

   Shares sold . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .              86                1,041

   Shares issued for dividends reinvested  . . . . . . . . . . . . . . . . . . . . . . .              27                   74

   Shares redeemed . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         (2,233)              (5,938)

                                                                                               _________          ___________

                                 Net Increase (Decrease) in Shares Outstanding . . . . .         (2,120)              (4,823)

                                                                                               _________          ___________










                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>

DREYFUS PREMIER STATE MUNICIPAL BOND FUND, GEORGIA 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  . . . . .     $13.63       $13.22       $13.05       $12.80        $12.69       $13.27

                                                      _______      _______      _______      _______       _______      _______

   Investment Operations:

   Investment income--net  . . . . . . . . . . . .        .31          .61          .62          .66           .73          .73

   Net realized and unrealized gain (loss)
       on investments  . . . . . . . . . . . . . .        .41          .41          .17          .25           .11         (.58)

                                                      _______      _______      _______      _______       _______      _______

   Total from Investment Operations  . . . . . . .        .72         1.02          .79          .91           .84          .15

                                                      _______      _______      _______      _______       _______      _______

   Distributions:

   Dividends from investment income--net . . . . .       (.31)        (.61)        (.62)        (.66)         (.73)        (.73)

                                                      _______      _______      _______      _______       _______      _______

   Net asset value, end of period  . . . . . . . .     $14.04       $13.63       $13.22       $13.05        $12.80       $12.69

                                                      _______      _______      _______      _______       _______      _______


TOTAL INVESTMENT RETURN(1) . . . . . . . . . . . .      10.49%(2)     7.76%        6.16%        7.14%         6.87%         .97%

RATIOS/SUPPLEMENTAL DATA:

   Ratio of expenses to average net assets . . . .        .98%(2)      .95%         .98%         .74%          .25%         .07%

   Ratio of net investment income
       to average net assets . . . . . . . . . . .       4.37%(2)     4.44%        4.71%        5.00%         5.80%        5.41%

   Decrease reflected in above expense ratios due
       to undertakings by the Manager  . . . . . .         --           --           --          .21%          .78%        1.02%

   Portfolio Turnover Rate . . . . . . . . . . . .      53.69%(3)    36.64%       50.96%       33.09%        34.04%        6.76%

   Net Assets, end of period (000's Omitted) . . .     $6,442       $6,232       $6,598       $8,346        $8,985      $10,058

- ---------

(1) Exclusive of sales load.

(2) Annualized.

(3) Not annualized.
                      SEE NOTES TO FINANCIAL STATEMENTS.

DREYFUS PREMIER STATE MUNICIPAL BOND FUND, GEORGIA 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  . . . . .     $13.63       $13.22       $13.06       $12.80        $12.69       $13.27

                                                      _______      _______      _______      _______       _______      _______

   Investment Operations:

   Investment income--net  . . . . . . . . . . . .        .27          .54          .56          .59           .66          .67

   Net realized and unrealized gain (loss)
       on investments  . . . . . . . . . . . . . .        .41          .41          .16          .26           .11         (.58)

                                                      _______      _______      _______      _______       _______      _______

   Total from Investment Operations  . . . . . . .        .68          .95          .72          .85           .77          .09

                                                      _______      _______      _______      _______       _______      _______

   Distributions:

   Dividends from investment income--net . . . . .       (.27)        (.54)        (.56)        (.59)         (.66)        (.67)

                                                      _______      _______      _______      _______       _______      _______

   Net asset value, end of period  . . . . . . . .     $14.04       $13.63       $13.22       $13.06        $12.80       $12.69

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

TOTAL INVESTMENT RETURN(1) . . . . . . . . . . . .      10.00%(2)     7.24%        5.55%        6.69%         6.33%         .46%

RATIOS/SUPPLEMENTAL DATA:

   Ratio of expenses to average net assets . . . .       1.47%(2)     1.44%        1.47%        1.24%          .75%         .58%

   Ratio of net investment income
        to average net assets  . . . . . . . . . .       3.89%(2)     3.94%        4.20%        4.46%         5.27%        4.85%

   Decrease reflected in above expense ratios due
       to undertakings by the Manager  . . . . . .         --           --           --          .20%          .80%        1.02%

   Portfolio Turnover Rate . . . . . . . . . . . .      53.69%(3)    36.64%       50.96%       33.09%        34.04%      (6.76%)

   Net Assets, end of period (000's Omitted) . . .    $16,563      $17,558      $18,211      $20,106       $19,429      $16,243

- ---------

(1) Exclusive of sales load.

(2) Annualized.

(3) Net annualized.







                      SEE NOTES TO FINANCIAL STATEMENTS.

DREYFUS PREMIER STATE MUNICIPAL BOND FUND, GEORGIA 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  . . . . . . . . . . . . . . . . .    $13.62       $13.22       $13.05        $12.85

                                                                             _______      _______      _______       _______

   Investment Operations:

   Investment income--net  . . . . . . . . . . . . . . . . . . . . . . . .      .23           .47          .51           .38

   Net realized and unrealized gain (loss) on investments  . . . . . . . .      .41           .40          .17           .20

                                                                             _______      _______      _______       _______

   Total from Investment Operations  . . . . . . . . . . . . . . . . . . .      .64           .87          .68           .58

                                                                             _______      _______      _______       _______

   Distributions:

   Dividends from investment income--net . . . . . . . . . . . . . . . . .        (.23)     (.47)        (.51)         (.38)

                                                                             _______      _______      _______       _______

   Net asset value, end of period  . . . . . . . . . . . . . . . . . . . .   $14.03        $13.62       $13.22        $13.05

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


TOTAL INVESTMENT RETURN(2) . . . . . . . . . . . . . . . . . . . . . . . .      9.42%(3)     6.61%        5.30%         6.28%(3)

RATIOS/SUPPLEMENTAL DATA:

   Ratio of expenses to average net assets . . . . . . . . . . . . . . . .      2.02%(3)     1.91%        1.80%         1.98%(3)

   Ratio of net investment income to average net assets  . . . . . . . . .      3.41%(3)     3.48%        3.87%         3.73%(3)

   Portfolio Turnover Rate . . . . . . . . . . . . . . . . . . . . . . . .     53.69%(4)    36.64%       50.96%        33.09%(4)

   Net Assets, end of period (000's Omitted) . . . . . . . . . . . . . . .       $14          $42         $105           $88

- ---------

(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, GEORGIA 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, as amended (the "Act") as a non-diversified
open-end  management  investment  company,  and  operates  as  a  series company
currently  offering  thirteen  series including the Georgia 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  receives  net  earnings  credits  based on available cash
balances left on deposit.

DREYFUS PREMIER STATE MUNICIPAL BOND FUND, GEORGIA 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, 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 $613,000
available  for  Federal  income  tax  purposes  to be applied against future net
securities  profits,  if  any,  realized  subsequent  to  April 30, 1998. If not
applied,  $329,000  of the carryover expires in fiscal 2003, $267,000 expires in
fiscal 2004 and $17,000 expires in fiscal 2005.

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 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.

  (B)  Under the Distribution Plan adopted pursuant to Rule 12b-1 under the Act,
Class  B  and  Class  C  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 $43,235 and $157, 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 the 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  $7,958,  $21,617  and  $53, respectively, pursuant to the
Shareholder Services Plan.

DREYFUS PREMIER STATE MUNICIPAL BOND FUND, GEORGIA 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 $3,409 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 $12,599,930 and $14,182,873, respectively.

  At  October  31,  1998, accumulated net unrealized appreciation on investments
was  $1,629,918, consisting of $1,630,418 gross unrealized appreciation and $500
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).


PREMIER STATE MUNICIPAL

BOND FUND, GEORGIA 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.                                         068/627SA9810

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

                                 PREMIER STATE

                              MUNICIPAL BOND FUND

                                GEORGIA SERIES
- -------------------------------------------------------------------------------

                               OCTOBER 31, 1998

                                   (reg.tm)

                               [reg.tm logo]





















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