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

LETTER TO SHAREHOLDERS

Dear Shareholder:

  We  are  pleased  to  report  the  performance  for  the Dreyfus Premier State
Municipal Bond Fund--Connecticut 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 . . . . . . . . . . . . . . . . . . . .              4.63%                           4.73%

        Class B shares . . . . . . . . . . . . . . . . . . . .              4.27%                           4.44%

        Class C shares . . . . . . . . . . . . . . . . . . . .              4.15%                           4.19%

</TABLE>

ECONOMIC REVIEW

  In  the  face of soaring consumer confidence and strong first-quarter economic
growth,  the  Federal  Reserve Board 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 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 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  general fixed-income markets have traded off in a downward-spiked pattern
since  appreciating dramatically and topping in mid October. Market participants
have  been greatly influenced by the overall trend to perceived safer securities
(mainly  Treasury  notes  and  bonds) incited by the Asian economic crisis. This
crisis  has  prompted  notions  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 of 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, in the
recent  market  price  decline,  municipals outperformed Treasuries, maintaining
more of their value.

PORTFOLIO OVERVIEW

  In  the past, your Fund has been a responder to the supply and demand pressure
dynamic  of  the  tax-exempt  bond  market.  New  issuance,  usually our primary
concern,  was  replaced  by the fundamental concerns of interest rate trends and
the  previously  mentioned  widening  of  interest  rate  levels among different
classes    of    bonds.

  As  a  protective  measure,  some  high-quality, highly liquid securities were
added  to  your  Fund. Bonds that could erode in price due to the current market
sentiment   were   replaced.   Likewise,  bonds  with  short  call  features  on
premium-priced  positions  that  bring prices down with the passing of time were
traded.  These  exchanges  were accomplished at a modest change in yield in most
circumstances.  This  new  balance  leaves  many  defensive  securities  in  the
portfolio,  which  is  appropriate in a scenario where recent Fed rate cuts have
primarily  enhanced  the  value  of  the equity markets and not the bond market.
However, if there is another upward price rally in fixed income, the newly added
bonds will participate.

  Included  in  this  report is a series of detailed financial statements, which
outline  the  Fund' s current holdings and its financial condition. We hope that
you find them informative.

               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-Connecticut 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, CONNECTICUT SERIES
- -----------------------------------------------------------------------------

STATEMENT OF INVESTMENTS                         OCTOBER 31, 1998 (UNAUDITED)

                                                                                                  Principal

Long-Term Municipal Investments--97.8%                                                             Amount            Value
- -------------------------------------------------------                                        ______________    ______________
<S>                                                                                              <C>               <C>
Connecticut--77.7%

Connecticut:

   5%, 3/15/2012 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .       $     70,000      $     73,054

   6.1452%, 3/15/2012 (a,b)  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          5,000,000         5,436,300

   5%, 8/1/2012  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .             35,000            36,461

   6.1452%, 8/1/2012 (a,b) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          5,900,000         6,392,650

   5.50%, 5/15/2014  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          2,000,000         2,135,000

   5.50%, 5/15/2015  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          3,000,000         3,188,670

   5.25%,  3/1/2016  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          5,000,000         5,195,800

   Special Tax Obligation Revenue (Transportation Infrastructure):

       Refunding 5.375%, 9/1/2008  . . . . . . . . . . . . . . . . . . . . . . . . . . . .          2,500,000         2,741,950

       7.125%, 6/1/2010  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          3,400,000         4,251,020

       6.75%, 6/1/2011 (Prerefunded 6/1/2003) (c)  . . . . . . . . . . . . . . . . . . . .          8,500,000         9,570,660

Connecticut Development Authority, Revenue:

  First Mortgage Gross:

       (Elim Park Baptist Home Inc. Project) 9%, 12/1/2020 (Prerefunded 12/1/1999) (c) . .          3,565,000         3,888,203

       Refunding (Health Care Project, Church Homes Inc.):

          5.70%, 4/1/2012  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          1,240,000         1,285,396

          5.80%,4/1/2021 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          3,000,000         3,112,680

       Refunding (Health Care Project, Elim Park Baptist Home) 5.375%, 12/1/2018 . . . . .          2,300,000         2,310,373

   Health Care (Jerome Home Project) 8%, 11/1/2019 (Prerefunded 11/1/1999) (c) . . . . . .             35,000            37,344

   Life Care Facilities (Seabury Project):

       Refunding 8.75%, 9/1/2006 . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          1,625,000         1,755,715

       10%, 9/1/2021 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         11,175,000        12,185,332

   Pollution Control, Refunding (Light and Power) 5.85%, 9/1/2028  . . . . . . . . . . . .         10,150,000        10,217,701

   Water Facilities (Bridgeport Hydraulic) 6.15%, 4/1/2035 . . . . . . . . . . . . . . . .          2,750,000         3,002,313

Connecticut Health and Educational Facilities Authority, Revenue:

   (Bridgeport Hospital) 6.625%, 7/1/2018 (Insured; MBIA)  . . . . . . . . . . . . . . . .            700,000           770,777

   (Greenwich Academy) 5.75%, 3/1/2026 (Insured; FSA)  . . . . . . . . . . . . . . . . . .          3,130,000         3,367,504

   (Greenwich Hospital) 5.80%, 7/1/2026 (Insured; MBIA)  . . . . . . . . . . . . . . . . .          9,365,000        10,055,762

   (Hartford University):

       6.75%, 7/1/2012 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          3,500,000         3,724,070

       6.80%, 7/1/2022 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          8,500,000         9,034,735

   (Johnson Evergreen Corp.) 8.50%, 7/1/2022 . . . . . . . . . . . . . . . . . . . . . . .          4,500,000         4,907,115

   (Loomis Chaffee School Project):

       6%, 7/1/2015 (Insured; MBIA)  . . . . . . . . . . . . . . . . . . . . . . . . . . .            715,000           779,243

       6%, 7/1/2025 (Insured; MBIA)  . . . . . . . . . . . . . . . . . . . . . . . . . . .          1,000,000         1,102,020

   (Middlesex Hospital)

       6.25%, 7/1/2022 (Insured; MBIA) (Prerefunded 7/1/2002) (c)  . . . . . . . . . . . .          3,500,000         3,871,595

   (New Britain General Hospital) 6.125%, 7/1/2014 (Insured; AMBAC)  . . . . . . . . . . .          1,000,000         1,107,400

   (New Britain Memorial Hospital) 7.75%, 7/1/2022 (Prerefunded 7/1/2002) . . . . . . . . .        16,000,000        18,426,080

   (Norwalk Hospital) 6.25%, 7/1/2022 (Insured; MBIA)  . . . . . . . . . . . . . . . . . .          3,860,000         4,215,313

   (Quinnipiac College) 6%, 7/1/2013 . . . . . . . . . . . . . . . . . . . . . . . . . . .          6,545,000         6,827,024

   (Refunding-Connecticut College) 5.50%, 7/1/2027 (Insured; MBIA) . . . . . . . . . . . .          2,500,000         2,656,425

   (Refunding-Hospital for Special Care) 5.375%, 7/1/2017  . . . . . . . . . . . . . . . .          4,430,000         4,492,153

   (Refunding-Nursing Home Program - 3030 Park Fairfield Health Center Project)

       6.25%, 11/1/2021  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          2,500,000         2,791,350

DREYFUS PREMIER STATE MUNICIPAL BOND FUND, CONNECTICUT SERIES
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STATEMENT OF INVESTMENTS (CONTINUED)             OCTOBER 31, 1998 (UNAUDITED)

                                                                                                   Principal

Long-Term Municipal Investments (continued)                                                         Amount           Value
- -------------------------------------------------------                                        ______________    ______________

Connecticut (continued)

Connecticut Health and Educational Facilities Authority, Revenue (continued):

  (Sacred Heart University):

       6.50%, 7/1/2016 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .    $     2,000,000   $     2,183,540

       6.125%, 7/1/2017  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          1,000,000         1,071,970

       6.625%, 7/1/2026  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          3,000,000         3,298,710

   (Trinity College) 5.875%, 7/1/2026 (Insured; MBIA)  . . . . . . . . . . . . . . . . . .          2,500,000         2,707,825

   (University of New Haven):

       6.625%, 7/1/2016  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          4,050,000         4,443,822

       6.70%, 7/1/2026 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          8,605,000         9,424,798

   (William W. Backus Hospital) 5.75%, 7/1/2027 (Insured; AMBAC) . . . . . . . . . . . . .          2,500,000         2,680,125

   (Windham Community Memorial Hospital):

       5.75%, 7/1/2011 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          1,000,000         1,027,030

       6%, 7/1/2020  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          1,000,000         1,048,390

   (Yale, New Haven Hospital) 5.70%, 7/1/2025 (Insured; MBIA)  . . . . . . . . . . . . . .          7,970,000         8,452,663

Connecticut Housing Finance Authority (Housing Mortgage Finance Program):

   7.20%, 11/15/2008 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          5,205,000         5,482,374

   6.20%, 5/15/2012 (Insured; MBIA)  . . . . . . . . . . . . . . . . . . . . . . . . . . .          1,000,000         1,068,810

   6.40%, 5/15/2015 (Insured; MBIA)  . . . . . . . . . . . . . . . . . . . . . . . . . . .            485,000           521,210

   6.125%, 5/15/2018 (Insured; MBIA) . . . . . . . . . . . . . . . . . . . . . . . . . . .          1,655,000         1,783,643

   6.45%, 5/15/2022  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          6,000,000         6,434,700

   6.70%, 11/15/2022 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         17,655,000        18,949,112

   6.75%, 11/15/2023 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          5,010,000         5,449,577

   6.30%,  5/15/2024 (Insured; MBIA) . . . . . . . . . . . . . . . . . . . . . . . . . . .            900,000           957,591

   5.45%, 11/15/2029 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          5,805,000         5,919,533

   6%, Series G, 11/15/2027  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          4,000,000         4,241,320

   6%, Subseries F-2, 11/15/2027 . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          4,980,000         5,280,443

   5.85%, Subseries B-2, 11/15/2028  . . . . . . . . . . . . . . . . . . . . . . . . . . .         10,000,000        10,523,400

   5.85%, Subseries C-2, 11/15/2028  . . . . . . . . . . . . . . . . . . . . . . . . . . .          6,535,000         6,877,042

Eastern Connecticut Resource Recovery Authority, Solid Waste Revenue

  (Wheelabrator Lisbon Project):

       5.50%, 1/1/2014 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         10,000,000        10,046,900

       5.50%, 1/1/2020 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          9,380,000         9,321,187

Greenwich Housing Authority, MFHR (Greenwich Close)

   6.25%, 9/1/2017 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          4,840,000         5,010,320

New Haven  7.40%, 8/15/2011 (Prerefunded 8/15/2001) (c). . . . . . . . . . . . . . . . . .          1,500,000         1,676,295

Sprague, Environmental Improvement Revenue

   (International Paper Company Project) 5.70%, 10/1/2021  . . . . . . . . . . . . . . . .          1,350,000         1,397,102

Stamford 6.60%, 1/15/2010. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          2,750,000         3,330,883

U. S. Related--20.1%

Commonwealth of Puerto Rico (Public Improvement):

   Refunding Zero Coupon, 7/1/2017 . . . . . . . . . . . . . . . . . . . . . . . . . . . .          3,800,000         1,516,884

   6.80%, 7/1/2021 (Prerefunded 7/1/2002) (c)  . . . . . . . . . . . . . . . . . . . . . .          6,000,000         6,742,560

Puerto Rico Aqueduct and Sewer Authority, Revenue

   6%, 7/1/2009  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          7,250,000         8,205,695

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

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

                                                                                                   Principal

Long-Term Municipal Investments (continued)                                                         Amount           Value
- -------------------------------------------------------                                        ______________    ______________

U. S. Related (continued)

Puerto Rico Electric Power Authority, Power Revenue:

   5%, 7/1/2012 (Insured; MBIA)  . . . . . . . . . . . . . . . . . . . . . . . . . . . . .       $     50,000     $      52,363

   6.2027%, 7/1/2012 (a,b) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          2,000,000         2,189,040

   7%, 7/1/2021 (Prerefunded 7/1/2001) (c) . . . . . . . . . . . . . . . . . . . . . . . .          5,775,000         6,393,098

Puerto Rico Highway and Transportation Authority, Highway Revenue:

   6.2065%, 7/1/2010 (a) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          3,200,000         3,596,000

   Refunding 6.25%, 7/1/2015 (Insured, MBIA) . . . . . . . . . . . . . . . . . . . . . . .          3,650,000         4,305,540

   6.625%, 7/1/2018 (Prerefunded 7/1/2002) (c) . . . . . . . . . . . . . . . . . . . . . .          5,000,000         5,589,300

   5.50%, 7/1/2026 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          3,500,000         3,658,585

   5.50%, 7/1/2036 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          5,000,000         5,373,100

Puerto Rico Industrial Development Company, General Purpose Revenue

   5.375%, 7/1/2016  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          4,250,000         4,378,478

Puerto Rico Industrial Medical and Environmental Pollution Control Facilities
Financing

   Authority, Revenue (Motorola Inc. Project) 6.75%, 1/1/2014  . . . . . . . . . . . . . .          2,000,000         2,201,060

Puerto Rico Industrial Tourist, Educational, Medical and Environmental Control
Facilities

  Financing Authority, Industrial Revenue (Teachers Retirement System)

       5.50%, 7/1/2016 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          1,150,000         1,229,511

       5.50%, 7/1/2021 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          1,800,000         1,878,732

Puerto Rico Ports Authority, Special Facilities Revenue (American Airlines):

   6.30%, 6/1/2023 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          2,000,000         2,136,320

   6.25%, 6/1/2026 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          3,250,000         3,508,700

University of Puerto Rico, University Revenue

   5.50%, 6/1/2015 (Insured; MBIA) . . . . . . . . . . . . . . . . . . . . . . . . . . . .          5,000,000         5,321,800

Virgin Islands Public Financing Authority, Revenue, Refunding Fund Loan Notes

   5.50%, 10/1/2014  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          3,000,000         3,108,780

Virgin Islands Water and Power Authority, Refunding (Electric Systems)

   5.30%, 7/1/2018 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          3,000,000         3,027,090

   5.30%, 7/1/2021 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          2,000,000         2,012,819

                                                                                                                _______________

TOTAL INVESTMENTS

   (cost $344,055,450) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                97.8%      $371,980,958

                                                                                                      _______   _______________


CASH AND RECEIVABLES (NET) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                 2.2%    $    8,518,248

                                                                                                      _______   _______________

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .              100.0%       $380,499,206

                                                                                                      _______   _______________


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

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

AMBAC       American Municipal Bond Assurance Corporation           MBIA        Municipal Bond Investors Assurance

FSA         Financial Security Assurance                                          Insurance Corporation

                                                                    MFHR        Multi-Family Housing Revenue




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

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

______                             _______                           ________________                _________________

AAA                                Aaa                               AAA                                  24.8%

AA                                 Aa                                AA                                   24.7

A                                  A                                 A                                     6.2

BBB                                Baa                               BBB                                  24.6

BB                                 Ba                                BB                                    3.5

Not Rated (d)                      Not Rated (d)                     Not Rated (d)                        16.2

                                                                                                        _______

                                                                                                         100.0%

                                                                                                        _______




Notes to Statement of Investments:
- -----------------------------------------------------------------------------

(a) Inverse   floater   security--the  interest  rate  is  subject  to  change
    periodically.

(b) Securities exempt from registration under Rule 144A of the Securities Act of
    1933.  These securities may be resold in transactions exempt from
    registration, normally to qualified institutional buyers.  At October 31,
    1998, these securities amounted to $14,017,990 or 3.7% of net assets.

(c) Bonds which are prerefunded are collateralized by U.S. Government securities
    which are held in escrow and are used to pay principal and interest on the
    municipal issue and to retire the bonds in full at the earliest refunding
    date.

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

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

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

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

                                                                                                     Cost             Value
                                                                                                _____________     _____________
<S>                                                                                              <C>               <C>
ASSETS:                          Investments in securities--See Statement of Investments . .     $344,055,450      $371,980,958

                                 Cash  . . . . . . . . . . . . . . . . . . . . . . . . . .                            1,590,303

                                 Interest receivable . . . . . . . . . . . . . . . . . . .                            7,357,243

                                 Receivable for shares of Beneficial Interest subscribed . .                             55,769

                                 Prepaid expenses  . . . . . . . . . . . . . . . . . . . .                               13,107

                                                                                                                _______________

                                                                                                                    380,997,380

                                                                                                                _______________


LIABILITIES:                     Due to The Dreyfus Corporation and affiliates . . . . . .                              178,108

                                 Due to Distributor  . . . . . . . . . . . . . . . . . . .                              109,999

                                 Payable for shares of Beneficial Interest redeemed  . . .                              163,576

                                 Accrued expenses  . . . . . . . . . . . . . . . . . . . .                               46,491

                                                                                                                _______________

                                                                                                                        498,174

                                                                                                                _______________


NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                         $380,499,206

                                                                                                                _______________



REPRESENTED BY:                  Paid-in capital . . . . . . . . . . . . . . . . . . . . .                         $347,866,989

                                 Accumulated net realized gain (loss) on investments . . .                            4,706,709

                                 Accumulated net unrealized appreciation (depreciation)
                                   on investments--Note 4  . . . . . . . . . . . . . . . .                           27,925,508

                                                                                                                _______________


 NET ASSETS. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                         $380,499,206

                                                                                                                _______________

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

                                                                               Class A            Class B           Class C
                                                                           ______________      ______________   _______________

Net Assets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .       $313,402,082       $  63,337,585    $    3,759,539

Shares Outstanding . . . . . . . . . . . . . . . . . . . . . . . . . .         25,114,084           5,078,052           301,700

NET ASSET VALUE PER SHARE. . . . . . . . . . . . . . . . . . . . . . .             $12.48              $12.47            $12.46

                                                                                  _______             _______           _______







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

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

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

INVESTMENT INCOME
<S>                                                                                        <C>                     <C>
INCOME                           Interest Income . . . . . . . . . . . . . . . . .                                 $11,167,713

EXPENSES:                        Management fee--Note 3(a) . . . . . . . . . . . .         $  1,046,540

                                 Shareholder servicing costs--Note 3(c)  . . . . .              582,141

                                 Distribution fees--Note 3(b)  . . . . . . . . . .              165,162

                                 Custodian fees  . . . . . . . . . . . . . . . . .               19,558

                                 Professional fees . . . . . . . . . . . . . . . .               17,944

                                 Prospectus and shareholders' reports  . . . . . .                8,745

                                 Registration fees . . . . . . . . . . . . . . . .                6,126

                                 Trustees' fees and expenses--Note 3(d)  . . . . .                2,188

                                 Loan commitment fees--Note 2  . . . . . . . . . .                  556

                                                                                          _____________

                                        Total Expenses . . . . . . . . . . . . . .                                   1,848,960

                                                                                                                  ____________

INVESTMENT INCOME--NET . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                                   9,318,753

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

                                 Net realized gain (loss) on investments . . . . .         $  3,056,026

                                 Net unrealized appreciation (depreciation)
                                    on investments . . . . . . . . . . . . . . . .            4,444,446

                                                                                          _____________

NET REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS . . . . . . . . . . . . . .                                   7,500,472

                                                                                                                  ____________

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS . . . . . . . . . . . . . . .                                 $16,819,225

                                                                                                                  ____________


                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>
DREYFUS PREMIER STATE MUNICIPAL BOND FUND, CONNECTICUT 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  . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         $   9,318,753        $  18,823,061

   Net realized gain (loss) on investments . . . . . . . . . . . . . . . . . . . . .             3,056,026            3,176,373

   Net unrealized appreciation (depreciation) on investments . . . . . . . . . . . .             4,444,446           11,604,963

                                                                                           _______________      _______________

          Net Increase (Decrease) in Net Assets Resulting from Operations  . . . . .            16,819,225           33,604,397

                                                                                           _______________      _______________

DIVIDENDS TO SHAREHOLDERS FROM:

  Investment income--net:

       Class A shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .            (7,884,220)         (16,101,734)

       Class B shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .            (1,368,439)          (2,649,172)

       Class C shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .               (66,094)             (72,155)

   Net realized gain on investments:

       Class A shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .              --                 (1,321,109)

       Class B shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .              --                   (244,976)

       Class C shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .              --                     (6,879)

                                                                                           _______________  _______________

          Total Dividends  . . . . . . . . . . . . . . . . . . . . . . . . . . . . .            (9,318,753)         (20,396,025)

                                                                                           _______________      _______________

BENEFICIAL INTEREST TRANSACTIONS:

  Net proceeds from shares sold:

       Class A shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .            17,441,539           21,594,769

       Class B shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .             5,662,277            8,684,633

       Class C shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .             1,166,402            1,511,235

   Dividends reinvested:

       Class A shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .             4,388,411            9,814,988

       Class B shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .               903,574            1,966,785

       Class C shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                41,614               63,983

   Cost of shares redeemed:

       Class A shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           (25,018,892)         (46,147,107)

       Class B shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .            (3,737,544)          (7,966,201)

       Class C shares  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .               (90,491)            (321,953)

                                                                                           _______________      _______________

          Increase (Decrease) in Net Assets from Beneficial Interest Transactions  .               756,890          (10,798,868)

                                                                                           _______________      _______________

             Total Increase (Decrease) in Net Assets . . . . . . . . . . . . . . . .             8,257,362            2,409,504

NET ASSETS:

   Beginning of Period . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           372,241,844          369,832,340

                                                                                           _______________      _______________

   End of Period . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          $380,499,206         $372,241,844

                                                                                           _______________      _______________






                      SEE NOTES TO FINANCIAL STATEMENTS.

DREYFUS PREMIER STATE MUNICIPAL BOND FUND, CONNECTICUT 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 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .       1,409,131            1,763,416

   Shares issued for dividends reinvested  . . . . . . . . . . . . . . . . . . . . . . .         353,183              803,357

   Shares redeemed . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .      (2,018,063)          (3,782,366)

                                                                                            ____________         ____________

                                 Net Increase (Decrease) in Shares Outstanding . . . . .        (255,749)          (1,215,593)

                                                                                            ____________         ____________


  Class B

  ________

   Shares sold . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         455,854              711,405

   Shares issued for dividends reinvested  . . . . . . . . . . . . . . . . . . . . . . .          72,755              161,021

   Shares redeemed . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .        (301,903)            (653,330)

                                                                                            ____________         ____________

                                 Net Increase (Decrease) in Shares Outstanding . . . . .         226,706              219,096

                                                                                            ____________         ____________


  Class C

  ________

   Shares sold . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          94,171              123,431

   Shares issued for dividends reinvested  . . . . . . . . . . . . . . . . . . . . . . .           3,354                5,239

   Shares redeemed . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           (7,310)             (26,584)

                                                                                            ____________         ____________

                                 Net Increase (Decrease) in Shares Outstanding . . . . .          90,215              102,086

                                                                                            ____________         ____________











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

DREYFUS PREMIER STATE MUNICIPAL BOND FUND, CONNECTICUT 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  . . . . .     $12.23       $11.81       $11.90       $11.76        $11.81       $12.26

                                                      _______      _______      _______      _______       _______      _______

   Investment Operations:

   Investment income--net  . . . . . . . . . . . .        .31          .62          .64          .66           .67          .68

   Net realized and unrealized gain (loss)
       on investments  . . . . . . . . . . . . . .        .25          .47          .16          .14          (.05)        (.42)

                                                      _______      _______      _______      _______       _______      _______

   Total from Investment Operations  . . . . . . .        .56         1.09          .80          .80           .62          .26

                                                      _______      _______      _______      _______       _______      _______

   Distributions:

   Dividends from investment income--net . . . . .       (.31)        (.62)        (.64)        (.66)         (.67)        (.68)

   Dividends from net realized gain on investments . .     --         (.05)        (.25)          --            --         (.03)

                                                      _______      _______      _______      _______       _______      _______

   Total Distributions . . . . . . . . . . . . . .       (.31)        (.67)        (.89)        (.66)         (.67)        (.71)

                                                      _______      _______      _______      _______       _______      _______

   Net asset value, end of period  . . . . . . . .     $12.48       $12.23       $11.81       $11.90        $11.76       $11.81

                                                      _______      _______      _______      _______       _______      _______


TOTAL INVESTMENT RETURN(1) . . . . . . . . . . . .       9.18%(2)     9.44%        6.84%        6.85%         5.47%        1.92%

RATIOS/SUPPLEMENTAL DATA:

   Ratio of expenses to average net assets . . . .        .88%(2)      .90%         .93%         .92%          .89%         .80%

   Ratio of net investment income
       to average net assets . . . . . . . . . . .       4.99%(2)     5.12%        5.32%        5.45%         5.77%        5.44%

   Decrease reflected in above expense ratios due
       to undertakings by the Manager  . . . . . .         --           --           --           --           .01%         .09%

   Portfolio Turnover Rate . . . . . . . . . . . .       9.17%(3)    33.31%       30.66%       28.83%        10.48%       10.83%

   Net Assets, end of period (000's Omitted) . . .   $313,402     $310,343     $313,881     $321,559      $335,964     $364,182

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

(1) Exclusive of sales load.

(2) Annualized.

(3) Not annualized.





                      SEE NOTES TO FINANCIAL STATEMENTS.

DREYFUS PREMIER STATE MUNICIPAL BOND FUND, CONNECTICUT 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  . . . . .     $12.23       $11.80       $11.89       $11.76        $11.80       $12.26

                                                      _______      _______      _______      _______       _______      _______

   Investment Operations:

   Investment income--net  . . . . . . . . . . . .        .28          .56          .57          .60           .61          .61

   Net realized and unrealized gain (loss)
       on investments  . . . . . . . . . . . . . .        .24          .48          .16          .13          (.04)        (.43)

                                                      _______      _______      _______      _______       _______      _______

   Total from Investment Operations  . . . . . . .        .52         1.04          .73          .73           .57          .18

                                                      _______      _______      _______      _______       _______      _______

   Distributions:

   Dividends from investment income--net . . . . .       (.28)        (.56)        (.57)        (.60)         (.61)        (.61)

   Dividends from net realized gain on investments . .     --         (.05)        (.25)          --            --         (.03)

                                                      _______      _______      _______      _______       _______      _______

   Total Distributions . . . . . . . . . . . . . .       (.28)        (.61)        (.82)        (.60)         (.61)        (.64)

                                                      _______      _______      _______      _______       _______      _______

   Net asset value, end of period  . . . . . . . .     $12.47       $12.23       $11.80       $11.89        $11.76       $11.80

                                                      _______      _______      _______      _______       _______      _______


TOTAL INVESTMENT RETURN(1) . . . . . . . . . . . .       8.47%(2)     8.97%        6.28%        6.20%         4.99%        1.26%

RATIOS/SUPPLEMENTAL DATA:

   Ratio of expenses to average net assets . . . .       1.40%(2)     1.42%        1.45%        1.44%         1.41%        1.36%

   Ratio of net investment income
       to average net assets . . . . . . . . . . .       4.46%(2)     4.59%        4.79%        4.92%         5.21%        4.78%

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

   Portfolio Turnover Rate . . . . . . . . . . . .       9.17%(3)    33.31%       30.66%       28.83%        10.48%      (10.83%)

   Net Assets, end of period (000's Omitted) . . .    $63,338      $59,315      $54,661      $38,838       $35,425      $32,246

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

(1) Exclusive of sales load.

(2) Annualized.

(3) Not annualized.

                      SEE NOTES TO FINANCIAL STATEMENTS.

DREYFUS PREMIER STATE MUNICIPAL BOND FUND, CONNECTICUT 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  . . . . . . . . . . . . . . . . .    $12.22       $11.79       $11.89        $11.84

                                                                             _______       ______       ______        ______

   Investment Operations:

   Investment income--net  . . . . . . . . . . . . . . . . . . . . . . . .      .26           .53          .54           .40

   Net realized and unrealized gain (loss) on investments  . . . . . . . .      .24           .48          .15           .05

                                                                            _______        ______       ______        ______

   Total from Investment Operations  . . . . . . . . . . . . . . . . . . .      .50          1.01          .69           .45

                                                                            _______        ______       ______        ______

   Distributions:

   Dividends from investment income--net . . . . . . . . . . . . . . . . .     (.26)         (.53)        (.54)         (.40)

   Dividends from net realized gain on investments . . . . . . . . . . . .       --          (.05)        (.25)           --

                                                                            _______        ______       ______        ______

   Total Distributions . . . . . . . . . . . . . . . . . . . . . . . . . .    (.26)         (.58)        (.79)         (.40)

                                                                            _______        ______       ______        ______

   Net asset value, end of period  . . . . . . . . . . . . . . . . . . . .   $12.46        $12.22       $11.79        $11.89

                                                                            _______        ______       ______        ______


TOTAL INVESTMENT RETURN(2) . . . . . . . . . . . . . . . . . . . . . . . .     8.23%(3)      8.68%        5.93%         5.31%(3)

RATIOS/SUPPLEMENTAL DATA:

   Ratio of expenses to average net assets . . . . . . . . . . . . . . . .     1.64%(3)      1.68%        1.70%         1.64%(3)

   Ratio of net investment income to average net assets  . . . . . . . . .     4.19%(3)      4.29%        4.56%         4.31%(3)

   Portfolio Turnover Rate . . . . . . . . . . . . . . . . . . . . . . . .     9.17%(4)     33.31%       30.66%        28.83%

   Net Assets, end of period (000's Omitted) . . . . . . . . . . . . . . .   $3,760        $2,583       $1,290        $1,007

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

(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, CONNECTICUT 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 Connecticut 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 $3,392 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, CONNECTICUT SERIES
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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 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 Funds' average
daily net assets and is payable monthly.

  Dreyfus  Service  Corporation,  a  wholly-owned  subsidiary  of  the  Manager,
retained $7,391 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 the Fund's Class
B  and Class C 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 $153,337 and $11,825, 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 of 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 $395,090, $76,668 and $3,942, respectively, pursuant to the
Shareholder Services Plan.

DREYFUS PREMIER STATE MUNICIPAL BOND FUND, CONNECTICUT SERIES
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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 $68,039 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 $36,406,121 and $34,247,900, respectively.

  At  October  31,  1998, accumulated net unrealized appreciation on investments
was  $27,925,508,  consisting  of  $28,042,540 gross unrealized appreciation and
$117,032 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, CONNECTICUT 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.                                         064/623SA9810

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

                             DREYFUS PREMIER STATE

                              MUNICIPAL BOND FUND

                              CONNECTICUT SERIES
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                               OCTOBER 31, 1998

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