DREYFUS STRATEGIC GOVERNMENTS INCOME INC
N-30D, 1999-02-04
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YEAR 2000 ISSUES (UNAUDITED)

  The  fund  could  be  adversely  affected  if the computer systems used by The
Dreyfus  Corporation  and  the  fund' s  other service providers do not properly
process  and  calculate date-related information from and after January 1, 2000.
The  Dreyfus  Corporation  is working to avoid Year 2000-related problems in its
systems  and  to  obtain  assurances  from other service providers that they are
taking  similar  steps.  In  addition,  issuers  of securities in which the fund
invests may be adversely affected by Year 2000-related problems. This could have
an impact on the value of the fund's investments and its share price.

DREYFUS STRATEGIC GOVERNMENTS INCOME, INC.
- -----------------------------------------------------------------------------

LETTER TO SHAREHOLDERS

Dear Shareholders:

  We  are  pleased  to  provide  you  with  this  report  for  Dreyfus Strategic
Governments  Income,  Inc.  for the 12-month reporting period ended November 30,
1998.  Your  Fund  produced  a  total  return, including share price changes and
dividend  income  generated,  of  6.73% .* During the reporting period, the Fund
produced  income dividends of $1.125 per share, representing a distribution rate
per share of 13.36%.**

ECONOMIC REVIEW

  During  1998,  the  main  regions  of  the  world  had very different economic
fundamentals.  The  U.S.  entered  the  year  with  a  strong  economy near full
employment, with unemployment only slightly above 4%. The tight labor market led
the  Federal  Reserve Board to contemplate a rise in interest rates early in the
year.  The  U.S.  economy  cooled enough over the months that the Fed decided to
stand  pat.  Evidence  of  economic  cooling continued to accumulate and worries
about  the  world economy intensified. Financial stresses pushed the Fed to ease
beginning  in September. After many years of subpar economic growth, continental
Europe  moved  into a sustained economic expansion. The overall European economy
benefited  as  interest  rates  in  peripheral countries such as Spain and Italy
fell, approaching the lower level established by Germany, on the eve of currency
unification.  Unlike  the  U.S.,  Europe  has  substantial  excess  capacity  of
productive  plants and labor. In Asia, weak economies were pervasive as a result
of  the  Asian  financial  crisis.  The Latin American economies weakened as the
financial stresses spread throughout that region.

  A  main  influence  on  the  U.S.  economy this year was the foreign financial
crisis  and cooling of the world economy. The positive effects hit first. Actual
inflation  and  expected  inflation  dropped,  causing  a  decline  in long-term
Treasury bond yields and mortgage rates. This caused a boom in housing. The drop
in inflation helped the consumer sector as more of the growth in consumer income
was  left  over  after  inflation to buy goods and services. Consumers benefited
from a combination of good growth in real income, a strong labor market and past
increases in the prices of assets they owned.

  The  negative  effect of Asian weakness was felt in the industrial sector more
than  the  consumer  sector.  Corporate  profits weakened, especially in sectors
affected  by  the Asian crisis such as world-traded commodities (oil, metals and
paper) and exports. One result of the industrial weakness was to cool off a U.S.
economy    that    had    been    growing    rapidly.

  The  major  change  in  the  economic  outlook  over  recent months has been a
downward  shift  in  expectations  for  world  economic  growth. A credit crunch
developed in emerging countries and former communist countries, sharply reducing
the   economic   outlook   for   Asia   and   Latin   America  as  well  as  for
commodity-exporting countries throughout the world. The effect on Europe and the
U.S. has been to lower expectations of profit growth and drive down bond yields.
Monetary policy has begun to ease in Europe as well as the U.S.

  Evidence  of  a  weaker  world  economy  accumulated as the financial stresses
continued.  A  worsened financial crisis occurred between the Russian default in
mid-August  and  the  fallout  from  the Long-Term Capital Management hedge fund
crisis  through  early October. However, proactive steps were taken to stabilize
the  Japanese  banks,  design  a  support  package  for Brazil and ease monetary
policy.  There  appears to be a shift in the priorities of key policymakers from
fighting potential inflation to restimulating future world economic growth.

MARKET ENVIRONMENT

  Over  the  past 12 months, the bond market experienced record volatility, with
sharp swings in interest rates. This volatility generated a flight to quality as
investors  scrambled  for  a safe haven in 1998, propelling yields significantly
lower.  The  30-year Treasury bond began the year yielding 5.925%, and ended the
year  yielding  5.096% . At  one  point,  yields  on  the 30-year Treasury issue
declined  to  4.72% , at the peak of fear. Investors apparently were inclined to
accept  these  significantly  lower  yields  for  Treasuries  in order to lessen
quality risk.

  To  put  in  perspective  the  amount  of  fear present during this tumultuous
market,  we can look at "quality spreads." Quality spreads are the difference in
yields  between  Treasuries and other investment grade securities like corporate
bonds,  mortgage-backed  securities  and  agency securities. The quality spreads
between  these  securities  reached levels during the reporting period that were
last  seen  in  the  early 1990s during a recession. At the end of the reporting
period,  these  securities  recovered somewhat from the dramatically wide spread
levels  reached during the month of October. The primary reason for the recovery
is  that  the Fed lowered interest rates three times during the reporting period
to provide liquidity in an effort to calm the markets.

PORTFOLIO OVERVIEW

  Given  the  market  environment,  we  kept the Fund with a longer-than-neutral
effective  duration  of  six  years  during  the  Fund' s  reporting  period (in
comparison,  the  Salomon  Global Government Bond Index(+) had a duration of 5.5
years  for  the  same  period) . We  have  normally  tried to maintain a neutral
duration  strategy  and  instead focus on sector selection, but over the last 12
months we lengthened the Fund's duration slightly in light of the drop in rates.
A  longer  effective  duration  is  beneficial  during a declining interest rate
environment,  so  our  strategy  worked  well  as  rates  did decline during the
reporting period. Going forward, we currently plan our duration strategy will be
neutral  to  the  Index,  with  our  belief  of  a  more  stable  interest  rate
environment.

Our allocation to generic mortgages was minimal for most of 1998. Mortgages in
general  were  under  pressure  throughout the year, since prepayment fears were
increasing  as  interest  rates  were  dropping. We currently plan on increasing
exposure  to  mortgages  as we believe the yield spread level is currently quite
attractive.  Also, we feel that the likelihood that rates will drop dramatically
lower from the lows already set in October of 1998 is slim. Normally, homeowners
will wait to see how low rates will go before re-financing, so as rates begin to
make   an  upswing  there  is  usually  a  massive  rush  to  file  re-financing
applications.  We believe that the market has already seen that occur, with more
fear existing in the mortgage market now than there should be.

  Agency  securities  were  also  hurt  during  the spread widening we mentioned
above.  At  the  end  of  the  Fund's fiscal year, Agency yields were attractive
compared  to Treasuries. It is our belief that as markets settle down, prices on
Agency  securities  will start to gravitate back towards more reasonable levels,
so  we  currently  plan  on  holding  to  or  increasing  our Agency exposure as
opportunities present themselves.

  During  the  Fund' s fiscal year, the Treasury component of this Fund has been
allocated  to, in market parlance, off-the-run (OTR) Treasuries -- these include
any Treasury security not recently issued in the auction process. In particular,
higher  coupon  OTR issues became dramatically cheaper during the peak of crisis
in  October.  There  are  a  number  of  reasons for this: first, OTR issues are
considered  generally  less  liquid  than current-issued Treasuries so they will
tend  to  yield  more.  They  are  also  used  more  often  as  collateral  with
institutions  like  hedge funds. In essence, when some of these hedge funds came
under  pressure  to  close down, the collateral held in their accounts was sold.
Last,  when  investors move out of other markets generally they randomly buy the
most current Treasury issued. All three of these events caused OTR Treasuries to
lose  value,  and  because they happened simultaneously they in turn exacerbated
each  other.  Going  forward,  we  currently plan on using OTR Treasuries as the
major   component  of  our  Treasury  allocation.  We  believe  they  are  quite
attractive, and should return to historic spread levels over time.

  Also,  within the Treasury market we should speak about the Treasury Inflation
Protected  Securities  (TIPS)  market,  which  the  Fund  also  owned during the
reporting period. These securities clearly did not perform as well as we thought
they  would.  While  theoretically  cheap,  the  marketplace  could not focus on
inflation  protection  during  what  seemed  to  be  deflationary crises looming
everywhere, and as a result these securities underperformed.

  Our  allocation  to  the nondollar sector was increased for 1998, and remained
relatively  unchanged  for  most  of  the  year.  We  are  currently planning on
decreasing  our  nondollar exposure by about 15% going forward. This is due less
to  bullishness  towards  the dollar but more to our belief that quality spreads
are  more  attractive,  and some of the dollar-denominated emerging markets will
perform  better  than  some  of  mainland  Europe.  We have used emerging market
securities in the past, and will continue to look for opportunities. This is one
area  which  we  believe has worked out well for the last two years, but in 1998
caused  the Fund some underperformance. While we believe our issue selection was
correct,  we did not sufficiently anticipate the currency fluctuations that have
since  occurred in some countries, and as a result some of these emerging market
securities declined in dollar terms.

  Some  of  the  countries  we  think  offer  value  and have invested in are as
follows:  In Asia, we believe that Korea and the Philippines are attractive on a
relative  value  basis. With Korea making dramatic progress on financial reform,
we  believe  their  bonds could be solid performers. We continue to like some of
the  service-sector  Latin  American countries such as Uruguay and Panama. Other
countries  we  will  currently continue to focus on and in which we see relative
value from the nondollar perspective are Italy, Spain and the United Kingdom.

  Thank  you  for your investment with Dreyfus. We look forward to continuing to
serve your investment needs.

               Very truly yours,



               [Gerald E. Thunelius signature]


               Gerald E. Thunelius

               Portfolio Manager

December 15, 1998

New York, N.Y.

*Total  return  includes  reinvestment of dividends and any capital gains paid,
based upon the net asset value per share.

**Distribution  rate per share is based upon dividends per share paid from net
investment  income  during  the period, divided by the market price per share at
the end of the period.

(+)  The  Salomon  Brothers  Government  Bond  Composite  Index  is comprised of
approximately  800  government bonds from 18 countries, with an average maturity
of seven years.

<TABLE>
DREYFUS STRATEGIC GOVERNMENTS INCOME, INC.
- -----------------------------------------------------------------------------

SELECTED INFORMATION                            NOVEMBER 30, 1998 (UNAUDITED)

Market Price per share November 30, 1998 . . . .      $9 3/16

Shares Outstanding November 30, 1998 . . . . . .   14,640,617

New York Stock Exchange Ticker Symbol. . . . . .          DSI

MARKET PRICE (NEW YORK STOCK EXCHANGE)

                             Fiscal Year Ended November 30,1998

__________________________________________________________________


                            Quarter                      Quarter                       Quarter                    Quarter

                             Ended                        Ended                         Ended                      Ended

                       February 28, 1998              May 31, 1998                 August 31, 1998           November 30, 1998
                        ________________            ____________________          __________________         __________________
<S>                        <C>                            <C>                          <C>                         <C>
High                       $9 13/16                      $9 3/4                        $9 9/16                     $9 3/8

Low                         9 1/8                         9 3/4                         9 1/16                      8 15/16

Close                       9 5/8                         9 3/8                         9 1/16                      9 3/16
PERCENTAGE GAIN based on change in Market Price*

June 24, 1988 (commencement of operations) through November 30, 1998 .   105.04

December 1, 1988 through November 30, 1998 . . . . . . . . .             123.85

December 1, 1993 through November 30, 1998 . . . . . . . . .              36.09

December 1, 1997 through November 30, 1998 . . . . . . . . .               8.75

March 1, 1998 through November 30, 1998. . . . . . . . . . .               1.34

June 1, 1998 through November 30, 1998 . . . . . . . . . . .               2.02

September 1, 1998 through November 30, 1998. . . . . . . . .               3.46

NET ASSET VALUE PER SHARE

             June 24, 1988 (commencement of operations)  . . . . . . . . . . . .           $11.11

             November 30, 1997 . . . . . . . . . . . . . . . . . . . . . . . . .            10.81

             February 28, 1998 . . . . . . . . . . . . . . . . . . . . . . . . .            10.65

             May 31, 1998  . . . . . . . . . . . . . . . . . . . . . . . . . . .            10.54

             August 31, 1998 . . . . . . . . . . . . . . . . . . . . . . . . . .            10.33

             November 30, 1998 . . . . . . . . . . . . . . . . . . . . . . . . .            10.20

PERCENTAGE GAIN based on change in Net Asset Value*

June 24, 1988 (commencement of operations) through November 30, 1998 .   145.72

December 1, 1988 through November 30, 1998 . . . . . . . . .             132.70

December 1, 1993 through November 30, 1998 . . . . . . . . .              49.33

December 1, 1997 through November 30, 1998 . . . . . . . . .               6.73

March 1, 1998 through November 30, 1998. . . . . . . . . . .               1.62

June 1, 1998 through November 30, 1998 . . . . . . . . . . .                .67

September 1, 1998 through November 30, 1998. . . . . . . . .                .70

*  WITH DIVIDENDS REINVESTED.
</TABLE>
<TABLE>

DREYFUS STRATEGIC GOVERNMENTS INCOME, INC.
- -----------------------------------------------------------------------------

STATEMENT OF INVESTMENTS                                    NOVEMBER 30, 1998

                                                                                              Principal

Bonds and Notes--98.0%                                                                         Amount               Value
- -----------------------------------------------------                                       _____________        _____________
<S>                                                                                         <C>                 <C>
         Banking and Finance--3.5%  American International Group,

                                        Bonds, 11.70%, 2001  . . . . . . . . . . . . .      $   1,788,376 (a)   $    2,188,771

                                    Credit Local de France,

                                        Bonds, 9.625%, 2000  . . . . . . . . . . . . .            652,316 (b)          698,813

                                    KfW International Finance,

                                        Gtd. Bonds, 6%, 1999 . . . . . . . . . . . . .          2,191,470 (c)         2,316,696

                                                                                                                   _____________

                                                                                                                      5,204,280

                                                                                                                   _____________

                       Cable--8.7%  Cable & Wireless Communications,

                                        Notes, 6.75%, 2008 . . . . . . . . . . . . . .           2,500,000            2,531,818

                                    Comcast Cable Communications,

                                        Notes, 6.20%, 2008 . . . . . . . . . . . . . .           5,000,000            5,084,470

                                    Motorola,

                                        Deb., 6.50%, 2028  . . . . . . . . . . . . . .           2,000,000            2,060,498

                                    Qwest Communications International,

                                        Sr. Notes, 7.50%, 2008 . . . . . . . . . . . .           3,300,000 (d)        3,399,000

                                                                                                                   _____________

                                                                                                                     13,075,786

                                                                                                                   _____________

                     Foreign--1.5%  Korea Development Bank,

                                        Floating Rate Notes, 10.172%, 2003 . . . . . .           2,000,000 (d,e)      1,745,000

                                    Korea Electric Power,

                                        Discount Notes, Zero Coupon, 2016  . . . . . .           5,256,000 (f)           504,198

                                                                                                                   _____________

                                                                                                                      2,249,198

                                                                                                                   _____________

       Foreign/Governmental--43.1%  Belguim Kingdom Bonds:

                                        7.75%, 2000  . . . . . . . . . . . . . . . . .           2,287,675 (g)        2,480,671

                                        9%, 2003 . . . . . . . . . . . . . . . . . . .           2,859,594 (g)        3,466,372

                                    Canada Government Bonds:

                                        9.75%, 2000  . . . . . . . . . . . . . . . . .           1,304,631 (b)        1,426,249

                                        8.75%, 2005  . . . . . . . . . . . . . . . . .           1,304,631 (b)        1,594,859

                                    Federative Republic of Brazil,

                                        Global Bonds, 10.125%, 2027  . . . . . . . . .           4,000,000            3,025,000

                                    France O.A.T., Deb.:
                                        8.50%, 2003  . . . . . . . . . . . . . . . . .           2,288,813 (h)        2,742,532

                                        8.50%, 2023  . . . . . . . . . . . . . . . . .           1,320,469 (h)        2,029,686

                                    German Unity Bonds,

                                        8.75%, 2001  . . . . . . . . . . . . . . . . .           2,950,201 (i)        3,354,945

                                    Government of New Zealand,

                                        Bonds, 8%, 2006  . . . . . . . . . . . . . . .           2,098,800 (j)        2,430,120

                                    Hellenic Republic of Greece,

                                        Bonds, 8.60%, 2008 . . . . . . . . . . . . . .           1,407,955 (k)        1,507,039

                                    Kingdom of Denmark Bonds,

                                        7%, 2007 . . . . . . . . . . . . . . . . . . .           2,172,564 (l)        2,588,884

                                    Republic of Argentina,

                                        Floating Rate Accrual Notes,

                                        14.25%, 2002 . . . . . . . . . . . . . . . . .           4,000,000 (e)        4,010,000

                                    Republic of Austria,

                                        Deb., 6.25%, 2003  . . . . . . . . . . . . . .           3,408,953 (c)        4,305,784

DREYFUS STRATEGIC GOVERNMENTS INCOME, INC.
- -----------------------------------------------------------------------------

STATEMENT OF INVESTMENTS (CONTINUED)                        NOVEMBER 30, 1998

                                                                                              Principal

Bonds and Notes (continued)                                                                    Amount               Value
- -----------------------------------------------------                                       _____________        _____________

  Foreign/Governmental (continued)  Republic of Colombia,

                                        Quarterly Adjusted Notes, 12.243%, 2005  . . .          2,500,000 (e)         2,331,250

                                    Republic of Panama,

                                        Bonds, 8.875%, 2027  . . . . . . . . . . . . .      $    2,500,000       $    2,356,250

                                    Republica Oriental del Uruguay, Bonds:

                                        Ser. A, 6.75%, 2021 (Units)  . . . . . . . . .           2,000,000 (m)        1,760,000

                                        Ser. B, 6.75%, 2021 (Units)  . . . . . . . . .           3,000,000 (m)        2,640,000

                                    Spain Government, Deb.:

                                        10.30%, 2002 . . . . . . . . . . . . . . . . .           2,776,814 (n)        3,387,033

                                        10%, 2005  . . . . . . . . . . . . . . . . . .           3,123,915 (n)        4,158,509

                                    Sweden Government,

                                        Deb., 6%, 2005 . . . . . . . . . . . . . . . .           2,453,687 (o)        2,708,952

                                    United Kingdom Gilt Edged Securities:

                                        10.50%, 1999 . . . . . . . . . . . . . . . . .             825,200 (p)          841,711

                                        9.50%, 2005  . . . . . . . . . . . . . . . . .           1,980,480 (p)        2,489,243

                                        9%, 2011 . . . . . . . . . . . . . . . . . . .           2,475,600 (p)        3,477,509

                                    United Mexican States,

                                        Global Bonds, 11.50%, 2026 . . . . . . . . . .           3,000,000            3,232,500

                                                                                                                   _____________

                                                                                                                     64,345,098

                                                                                                                   _____________

       Foreign/Supranational--8.1%  European Investment Bank, Notes:

                                        12.75%, 2000 . . . . . . . . . . . . . . . . .           2,384,501 (a)        2,636,480

                                        12.20%, 2003 . . . . . . . . . . . . . . . . .           4,172,876 (a)        5,516,705

                                    International Bank for Reconstruction

                                        and Development, Notes:

                                           5.25%, 2002 . . . . . . . . . . . . . . . .           1,866,807 (c)        2,160,926

                                           6%, 2005  . . . . . . . . . . . . . . . . .           1,434,309 (q)        1,741,065

                                                                                                                   _____________

                                                                                                                     12,055,176

                                                                                                                   _____________

        Publishing/Newspapers--.7%  A.H. Belo,

                                        Sr. Notes, 6.875%, 2002  . . . . . . . . . . .           1,000,000            1,029,218

                                                                                                                   _____________

           U.S. Government

                   Agencies--22.9%  Federal Farm Credit, Real Yield Securities,

                                        2.403%, 2/14/2002  . . . . . . . . . . . . . .           1,000,000 (r)          970,820

                                    Federal Home Loan Mortgage Corp.:

                                        Gtd. REMIC Pass-Through Ctfs.,

                                           Ser. 51, Cl. E, 10%, 7/15/2020  . . . . . .           5,939,454            6,393,882

                                        REMIC Trust, Pass-Through Ctfs.

                                           (Collateralized by FHLMC Pass-Through Ctfs.):

                                             Ser. 1611, Cl. L, 7%, 11/15/2023

                                                (Interest Only Obligation) . . . . . .           5,000,000 (s)        1,412,500

                                             Ser. 1978, Cl. PJ, 7% 3/15/2026

                                                (Interest Only Obligation) . . . . . .           5,130,500 (s)          937,189

                                    Federal National Mortgage Association :

                                        6%, 11/1/2013  . . . . . . . . . . . . . . . .           5,000,000 (t)        5,004,650

                                        8%, 12/1/2025  . . . . . . . . . . . . . . . .           1,151,052            1,197,094

                                        Gtd. REMIC Pass-Through Ctfs.,

                                           Ser. 1988-16, Cl. B., 9.50%, 6/25/2018  . .           2,932,688            3,143,285

DREYFUS STRATEGIC GOVERNMENTS INCOME, INC.
- -----------------------------------------------------------------------------

STATEMENT OF INVESTMENTS (CONTINUED)                        NOVEMBER 30, 1998

                                                                                              Principal

Bonds and Notes (continued)                                                                    Amount               Value
- -----------------------------------------------------                                       _____________        _____________
U.S. Government

              Agencies (continued)  U.S. Government Gtd. Development,

                                        Participation Ctfs.

                                        (Gtd. by U.S. Small Business Administration):

                                           Ser 1994-20K, 8.65%, 11/1/2014  . . . . . .      $....4,625,194       $    5,138,592

                                           Ser 1994-20L, 8.40%, 12/1/2014  . . . . . .           7,518,631            8,266,735

                                           Ser 1997-20J, 6.55%, 10/1/2017  . . . . . .           1,653,860            1,716,708

                                                                                                                   _____________

                                                                                                                     34,181,455

                                                                                                                   _____________

             U.S. Government--9.5%  U.S. Treasury Bonds:

                                        4.75%, 11/15/2008  . . . . . . . . . . . . . .           4,000,000            4,006,200

                                        5.25%, 11/15/2028  . . . . . . . . . . . . . .          10,000,000           10,275,500

                                                                                                                   _____________

                                                                                                                     14,281,700

                                                                                                                   _____________

                                    TOTAL BONDS AND NOTES

                                        (cost $147,973,801)  . . . . . . . . . . . . .                             $146,421,911

                                                                                                                   _____________


Short-Term Investments--.3%
- -------------------------------------------------------

U.S. Treasury Bills;  4.39%, 12/24/1998

                                        (cost $448,738) .  . . . . . . . . . . . . . .         $   450,000 (u)    $     448,722
                                                                                                                   _____________


TOTAL INVESTMENTS (cost $148,422,539). . . . . . . . . . . . . . . . . . . . . . . . .               98.3%          $146,870,633

                                                                                                   _______         _____________


CASH AND RECEIVABLES (NET) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                1.7%       $    2,532,938
                                                                                                   _______         _____________


NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .              100.0%          $149,403,571
                                                                                                   _______         _____________

DREYFUS STRATEGIC GOVERNMENTS INCOME, INC.
- -----------------------------------------------------------------------------


Notes to Statements of Investments:
- -----------------------------------------------------------------------------

(a)  Converted to U.S. Dollars from Italian Lire.

(b)  Converted to U.S. Dollars from Canadian Dollars.

(c)  Converted to U.S. Dollars from Japanese Yen.

(d)  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 November 30, 1998
these securities amounted to $5,144,000 or 3.4% of net assests.

(e)  Variable rate security--interest rate subject to periodic change.

(f)  Zero coupon until  year  shown at which time a stated coupon rate becomes
effective.

(g)  Converted to U.S. Dollars from Belgian Francs.

(h)  Converted to U.S. Dollars from French Francs.

(i)  Converted to U.S. Dollars from German Deutsche Marks.

(j)  Converted to U.S. Dollars from New Zealand Dollars.

(k)  Converted to U.S. Dollars from Greek Drachmas.

(l)  Converted to U.S. Dollars from Danish Krone.

(m)  With value recovery rights attached.

(n)  Converted to U.S. Dollars from Spanish Pesetas.

(o)  Converted to U.S. Dollars from Swedish Krona.

(p)  Converted to U.S. Dollars from British Pounds.

(q)  Converted to U.S. Dollars from Swiss Francs.

(r)  Variable rate security-base interest rate shown-adjustment to interest rate
linked to the Consumer Price Index.

(s)  Notional face amount shown.

(t)  Purchased on a forward commitment basis.

(u)  Held  by the custodian  in  a  segregated  account as collateral for open
Financial Futures positions.

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

DREYFUS STRATEGIC GOVERNMENTS INCOME, INC.
- -----------------------------------------------------------------------------

STATEMENT OF FINANCIAL FUTURES                               NOVEMBER 30,1998

                                                                            Market Value                          Unrealized

                                                                               Covered                           Appreciation

Financial Futures (Long)                                    Contracts       by Contracts        Expiration        at 11/30/98

_____________________                                      ____________    _______________    ______________    ______________
<S>                                                             <C>           <C>              <C>                  <C>
U.S. Treasury 5 Year Notes . . . . . . . . . . . . . . .          45          $  5,101,172     December '98         $  16,172

U.S. Treasury 5 Year Notes . . . . . . . . . . . . . . .         450            51,201,563       March '99             59,766

U.S. Treasury 10 Year Notes. . . . . . . . . . . . . . .          20             2,386,875       March '99              8,750

Bundesrepublic 10 Year Bonds . . . . . . . . . . . . . .          22             3,780,639     December '98            53,290

Spanish Government 10 Year Bonds . . . . . . . . . . . .          10               819,733     December '98            14,370

United Kingdom 15 Year Gilt. . . . . . . . . . . . . . .           5               971,170       March '99              7,757

                                                                                                                    _________

                                                                                                                     $160,105

                                                                                                                    _________



                                                                            Market Value                          Unrealized

                                                                               Covered                          (Depreciation)

Financial Futures (Short)                                   Contracts       by Contracts        Expiration        at 11/30/98

_____________________                                       ____________    _______________    ______________    ______________

U.S. Treasury 10 Year Notes. . . . . . . . . . . . . . .          80          $  9,522,500     December '98        $  (37,344)

U.S. Treasury 30 Year Bonds. . . . . . . . . . . . . . .          19             2,467,031     December '98           (36,219)

                                                                                                                    _________

                                                                                                                   $  (73,563)

                                                                                                                    _________


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

DREYFUS STRATEGIC GOVERNMENTS INCOME, INC.
- -----------------------------------------------------------------------------

STATEMENT OF ASSETS AND LIABILITIES                         NOVEMBER 30, 1998

                                                                                                   Cost              Value
                                                                                                _____________     _____________
<S>                                                                                              <C>               <C>
ASSETS:                          Investments in securities--See Statement of Investments . .     $148,422,539      $146,870,633

                                 Cash  . . . . . . . . . . . . . . . . . . . . . . . . . .                            6,011,374

                                 Receivable for investment securities sold . . . . . . . .                           19,413,538

                                 Interest receivable . . . . . . . . . . . . . . . . . . .                            3,674,354

                                 Receivable for futures variation margin--Note 3(a)  . . .                              330,473

                                 Net unrealized appreciation on forward
                                   currency exchange contracts--Note 3(a)  . . . . . . . .                              101,508

                                                                                                                   _____________

                                                                                                                    176,401,880

                                                                                                                   _____________

LIABILITIES:                     Due to The Dreyfus Corporation  . . . . . . . . . . . . .                               95,050

                                 Payable for investment securities purchased . . . . . . .                           25,839,106

                                 Income dividend payable . . . . . . . . . . . . . . . . .                              915,039

                                 Accrued expenses and other liabilities  . . . . . . . . .                              149,114

                                                                                                                   _____________

                                                                                                                      26,998,309

                                                                                                                   _____________

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                          $149,403,571

                                                                                                                   _____________


REPRESENTED BY:                  Paid-in capital . . . . . . . . . . . . . . . . . . . . .                          $161,164,920

                                 Accumulated distributions in excess of investment
                                   income--net . . . . . . . . . . . . . . . . . . . . . .                            (2,474,144)

                                 Accumulated net realized gain (loss) on investments and
                                   foreign currency transactions . . . . . . . . . . . . .                            (7,964,840)

                                 Accumulated net unrealized appreciation (depreciation) on
                                   investments and foreign currency transactions
                                   (including $86,542 net unrealized appreciation
                                   on financial futures)--Note 3(b)  . . . . . . . . . . .                            (1,322,365)

                                                                                                                   _____________

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                          $149,403,571
                                                                                                                   _____________

SHARES OUTSTANDING

(100 MILLION SHARES OF $.001 PAR VALUE COMMON STOCK AUTHORIZED). . . . . . . . . . . . . .                           14,640,617

NET ASSET VALUE per share. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                              $10.20

                                                                                                                       _______


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

DREYFUS STRATEGIC GOVERNMENTS INCOME, INC.
- -----------------------------------------------------------------------------

STATEMENT OF OPERATIONS                          YEAR ENDED NOVEMBER 30, 1998

INVESTMENT INCOME
<S>                                                                                              <C>                <C>
INCOME                           Interest Income . . . . . . . . . . . . . . . . . . . . .                          $11,524,811

EXPENSES:                        Management fee--Note 2(a) . . . . . . . . . . . . . . . .       $  1,072,395

                                 Professional fees . . . . . . . . . . . . . . . . . . . .             66,754

                                 Directors' fees and expenses--Note 2(b) . . . . . . . . .             61,374

                                 Shareholder servicing costs . . . . . . . . . . . . . . .             56,419

                                 Custodian fees  . . . . . . . . . . . . . . . . . . . . .             48,277

                                 Shareholders' reports . . . . . . . . . . . . . . . . . .             47,621

                                 Registration fees . . . . . . . . . . . . . . . . . . . .             24,260

                                 Miscellaneous . . . . . . . . . . . . . . . . . . . . . .              5,323
                                                                                                  ____________

                                        Total Expenses . . . . . . . . . . . . . . . . . .                            1,382,423
                                                                                                                   ____________

INVESTMENT INCOME--NET . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                           10,142,388
                                                                                                                   ____________

REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS--Note 3:

                                 Net realized gain (loss) on investments and foreign currency
                                    transactions (including options written) . . . . . . .      $  (3,845,031)

                                 Net realized gain (loss) on financial futures . . . . . .            567,482

                                 Net realized gain (loss) on forward currency
                                    exchange contracts . . . . . . . . . . . . . . . . . .         (1,123,853)
                                                                                                 ____________

                                        Net Realized Gain (Loss) . . . . . . . . . . . . .                           (4,401,402)

                                 Net unrealized appreciation (depreciation) on investments,
                                    options written and foreign currency transactions
                                    (including $133,653 net unrealized appreciation on
                                    financial futures) . . . . . . . . . . . . . . . . . .                            2,720,455
                                                                                                                   ____________

NET REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS . . . . . . . . . . . . . . . . . .                           (1,680,947)

                                                                                                                   ____________

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS . . . . . . . . . . . . . . . . . . .                         $  8,461,441
                                                                                                                   ____________


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

DREYFUS STRATEGIC GOVERNMENTS INCOME, INC.
- -----------------------------------------------------------------------------

STATEMENT OF CHANGES IN NET ASSETS

                                                     Year Ended   Year Ended

                                                                                       November 30, 1998  November 30, 1997
                                                                                       __________________  __________________
<S>                                                                                        <C>                 <C>
OPERATIONS:

  Investment income--net . . . . . . . . . . . . . . . . . . . . . . . . . . . .           $  10,142,388       $  10,032,165

  Net realized gain (loss) on investments  . . . . . . . . . . . . . . . . . . .              (4,401,402)         11,714,328

  Net unrealized appreciation (depreciation) on investments  . . . . . . . . . .               2,720,455          (8,903,962)

                                                                                            _____________      _____________

       Net Increase (Decrease) in Net Assets Resulting from Operations . . . . .               8,461,441          12,842,531
                                                                                            _____________      _____________


DISTRIBUTIONS TO SHAREHOLDERS:

  From investment income--net  . . . . . . . . . . . . . . . . . . . . . . . . .             (16,664,869)         (9,891,371)

  In excess of investment income--net  . . . . . . . . . . . . . . . . . . . . .                (720,868)         (2,150,539)

                                                                                            _____________      _____________

       Total Distributions . . . . . . . . . . . . . . . . . . . . . . . . . . .            (17,385,737)         (12,041,910)
                                                                                            _____________      _____________

         Total Increase (Decrease) in Net Assets . . . . . . . . . . . . . . . .              (8,924,296)           800,621

NET ASSETS:

  Beginning of Period  . . . . . . . . . . . . . . . . . . . . . . . . . . . . .             158,327,867         157,527,246
                                                                                            _____________      _____________

  End of Period  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .            $149,403,571        $158,327,867
                                                                                            _____________      _____________

UNDISTRIBUTED INVESTMENT INCOME (DISTRIBUTIONS IN EXCESS OF INVESTMENT INCOME)--NET. .    $   (2,474,144)    $    6,480,990
                                                                                            _____________      _____________

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

DREYFUS STRATEGIC GOVERNMENTS INCOME, INC.
- -----------------------------------------------------------------------------

FINANCIAL HIGHLIGHTS

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


                                                                                                 Six Months Ended   Year Ended

                                                                  Year Ended November 30,          November 30,       May 31,

                                                               _________________________________  _______________   __________

PER SHARE DATA:                                             1998      1997      1996     1995         1994(1)          1994

                                                         ______    ______    ______    ______          ______          ______
<S>                                                      <C>       <C>       <C>      <C>              <C>             <C>
   Net asset value, beginning of period  . . . . . . .   $10.81    $10.76    $10.66   $  9.85          $10.30          $11.03
                                                         ______    ______    ______    ______          ______          ______

   Investment Operations:

   Investment income--net  . . . . . . . . . . . . . .   .70(2)    .69(2)    .72(2)       .71             .42             .89

   Net realized and unrealized gain (loss)
       on investments  . . . . . . . . . . . . . . . .    (.12)       .18       .13       .82           (.44)           (.70)
                                                         ______    ______    ______    ______          ______          ______

   Total from Investment Operations  . . . . . . . . .      .58       .87       .85      1.53           (.02)             .19
                                                         ______    ______    ______    ______          ______          ______

   Distributions:

   Dividends from investment income--net . . . . . . .    (1.14)     (.67)     (.74)     (.71)           (.28)           (.92)

   Dividends in excess of investment
       income--net . . . . . . . . . . . . . . . . . .     (.05)     (.15)     (.01)     (.01)             --              --

   Dividends from paid-in-capital  . . . . . . . . . .       --        --        --        --            (.15)             --
                                                         ______    ______    ______    ______          ______          ______

   Total Distributions . . . . . . . . . . . . . . . .    (1.19)     (.82)     (.75)     (.72)           (.43)           (.92)
                                                         ______    ______    ______    ______          ______          ______

   Net asset value, end of period  . . . . . . . . . .   $10.20    $10.81    $10.76    $10.66          $ 9.85          $10.30
                                                         ______    ______    ______    ______          ______          ______

   Market Value, end of period . . . . . . . . . . . .   $ 9 3/16  $ 9 9/16  $ 9 3/8   $ 9 1/8         $ 9 1/8         $   10
                                                         ______    ______    ______    ______          ______          ______

TOTAL INVESTMENT RETURN (3). . . . . . . . . . . . . .     8.75%    11.32%    11.37%     8.80%          (8.98%)(4)      (5.23%)

RATIOS/SUPPLEMENTAL DATA:

   Ratio of expenses to average net assets . . . . . .      .90%      .92%      .90%      .94%             .92%(4)        .89%

   Ratio of net investment income
       to average net assets . . . . . . . . . . . . .     6.65%     6.48%     6.91%     7.56%            8.28%(4)       8.18%

   Portfolio Turnover Rate . . . . . . . . . . . . . .     599.75%   337.41%   328.37%    91.27%    65.21%(5)          22.76%

   Net Assets, end of period (000's Omitted) . . . . .   $149,404  $158,328  $157,527  $156,083  $145,164            $154,140
- -----------------------------

(1)  The Fund changed its fiscal year end from May 31 to November 30.

(2)  Based on average shares outstanding.

(3)  Calculated based on market value.

(4)  Annualized.

(5)  Not annualized.

                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

DREYFUS STRATEGIC GOVERNMENTS INCOME, INC.
- -----------------------------------------------------------------------------

NOTES TO FINANCIAL STATEMENTS

NOTE 1--SIGNIFICANT ACCOUNTING POLICIES:

   Dreyfus  Strategic  Governments Income, Inc. (the "Fund") is registered under
the Investment Company Act of 1940, as amended (the "Act"), as a non-diversified
closed-end  management investment company. The Fund's investment objective is to
maximize  current  income  to  the  extent  consistent  with the preservation of
capital.  The  Dreyfus  Corporation  ("Investment Adviser") serves as the Fund's
investment  adviser.  The  Investment  Adviser  is a direct subsidiary of Mellon
Bank,   N.A.  (" Mellon" ). Sinopia  Asset  Management  serves  as  the  Fund' s
sub-investment adviser.

   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 short-term
investments,  other than U.S. Treasury Bills, options and financial futures) 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  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 securities of
comparable  quality,  coupon,  maturity  and type; indications as to values from
dealers;  and  general market conditions. Securities for which there are no such
valuations  are  valued  at  fair  value  as  determined in good faith under the
direction  of  the  Board  of  Trustees.  Short-term investments, excluding U.S.
Treasury  Bills,  are  carried  at  amortized  cost,  which  approximates value.
Financial  futures  and  options  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
denominated  in  foreign  currencies  are  translated  to  U.S.  dollars  at the
prevailing rates of exchange.

   (B)  FOREIGN CURRENCY TRANSACTIONS: The Fund does not isolate that portion of
the  results  of  operations resulting from changes in foreign exchange rates on
investments  from  the fluctuations arising from changes in the market prices of
securities  held.  Such  fluctuations  are  included  with  the net realized and
unrealized gain or loss from investments.

Net realized foreign exchange gains or losses arise from sales and maturities
of  short-term securities, sales of foreign currencies, currency gains or losses
realized  on  securities  transactions  and the difference between the amount of
interest and foreign withholding taxes recorded on the Fund's books and the U.S.
dollar  equivalent  of  the  amounts  actually  received or paid. Net unrealized
foreign  exchange gains and losses arise from changes in the value of assets and
liabilities  other  than investments in securities at fiscal year end, resulting
from  changes  in  exchange  rates.  Such gains and losses are included with net
realized and unrealized gain or loss on investments.

   (C)  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,
including,  where  applicable,  amortization  of  discount  on  investments,  is
recognized  on  the accrual basis. Under the terms of the custody agreement, the
Fund  receives  net  earnings  credits  based on available cash balances left on
deposit.

DREYFUS STRATEGIC GOVERNMENTS INCOME, INC.
- -----------------------------------------------------------------------------

NOTES TO FINANCIAL STATEMENTS (CONTINUED)

   (D)  DIVIDENDS  TO  SHAREHOLDERS:  Dividends  are recorded on the ex-dividend
date.  Dividends  from  investment  income-net  are  normally  declared and 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" ). This  may result in distributions that are in excess of
investment  income-net  and  net  realized  gain  on a fiscal year basis. 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.

   For  shareholders  who  elect  to  receive  their distributions in additional
shares  of  the  Fund, in lieu of cash, such distributions will be reinvested at
the  lower  of  the market price or net asset value per share (but not less than
95%  of  the  market price) based on the record date's respective prices. If the
net  asset value per share on the record date is lower than the market price per
share, shares will be issued by the Fund at the record date's net asset value on
the  payable date of the distribution. If net asset value per share is less than
95%  of  market value, shares will be issued by the Fund at 95% of market value.
If  the  market  price is lower than the net asset value per share on the record
date,  Mellon  will  purchase  Fund  shares in the open market commencing on the
payable  date  and  reinvest those shares accordingly. As a result of purchasing
Fund  shares in the open market, Fund shares outstanding will not be affected by
this form of reinvestment.

   On  November  25,  1998,  the  Board of Directors declared a cash dividend of
$.0625  per  share  from  investment income-net, payable on December 24, 1998 to
shareholders of record as of the close of business on December 10, 1998.

(E) FEDERAL INCOME TAXES: It is the policy of the Fund to continue to qualify
as  a  regulated  investment  company,  if  such  qualification  is  in the best
interests  of  its  shareholders, by complying with the applicable provisions of
the  Code,  and to make distributions of taxable income sufficient to relieve it
from substantially all Federal income and excise taxes.

   The  Fund  has  an  unused capital loss carryover of approximately $6,044,000
available  for  Federal  income  tax  purposes  to be applied against future net
securities  profits,  if  any,  realized  subsequent  to  November 30, 1998. The
carryover  does not include net realized securities losses from November 1, 1998
through November 30, 1998 which are treated, for federal income tax purposes, as
arising  in  fiscal 1999. If not applied, $4,384,000 of the carryover expires in
fiscal 2002, $18,000 expires in fiscal 2003, $831,000 expires in fiscal 2004 and
$811,000 expires in fiscal 2006.

   During  the  period ended November 30, 1998, the Fund reclassified $1,711,785
from accumulated net realized (loss) on investments to accumulated distributions
in excess of investment income-net.

NOTE 2--MANAGEMENT FEE AND OTHER TRANSACTIONS WITH AFFILIATES:

   (A)  Pursuant  to  a  management  agreement  with the Investment Adviser, the
management  fee  is computed at the annual rate of .70 of 1% of the value of the
Fund's average weekly net assets and is payable monthly.

   Pursuant  to  a  Sub-Investment  Advisory  Agreement  between  the Investment
Adviser  and  Sinopia  Asset Management, the sub-advisory fee is computed at the
annual  rate  of  .20 of 1% of the value of the Fund's average weekly net assets
and is payable monthly by the Investment Adviser.

DREYFUS STRATEGIC GOVERNMENTS INCOME, INC.
- -----------------------------------------------------------------------------

NOTES TO FINANCIAL STATEMENTS (CONTINUED)

   The  Fund compensates Mellon, an affiliate of the Investment Adviser, under a
transfer  agency  agreement  for  providing  personnel and facilities to perform
transfer  agency  services  for  the  Fund. During the period ended November 30,
1998, the Fund was charged $33,620 pursuant to the transfer agency agreement.

   (B)  Each  director  who  is not an "affiliated person" as defined in the Act
receives from the Fund an annual fee of $4,500 and an attendance fee of $500 per
meeting.  The  Chairman  of  the  Board  receives  an  additional  25%  of  such
compensation.

NOTE 3--SECURITIES TRANSACTIONS:

   (A)  The  aggregate  amount  of  purchases and sales of investment securities
(including  paydowns) , excluding  short-term  securities,  financial  futures,
forward  currency exchange contracts and options transactions, during the period
ended   November   30,   1998,   amounted  to  $900,095,866  and  $903,193,309,
respectively.

   In   addition,  the  following  summarizes  open  forward  currency  exchange
contracts at November 30, 1998:
<TABLE>
                                                                 Foreign                                  Unrealized

                                                                Currency                                  Appreciation

Forward Currency Exchange Contracts                             Amount        Proceeds       Value       (Depreciation)
_________________________________                          _______________  ____________  ____________    ___________
<S>                                                            <C>          <C>           <C>           <C>
Sales:

   Belgian Francs, expiring 1/28/99  . . . . . . . . . .       218,000,000  $  6,210,826  $  6,234,101  $   (23,275)

   British Pounds, expiring 1/28/99  . . . . . . . . . .         4,200,000     6,955,200     6,915,589       39,611

   Canadian Dollars, expiring 1/28/99  . . . . . . . . .         6,000,000     3,870,968     3,916,202      (45,234)

   Danish Krone, expiring 1/28/99  . . . . . . . . . . .        16,800,000     2,596,600     2,611,242      (14,642)

   French Francs, expiring 1/28/99 . . . . . . . . . . .        28,140,000     4,938,575     4,968,828      (30,253)

   German Deutsche Marks, expiring 1/28/99 . . . . . . .         5,850,000     3,443,202     3,461,372      (18,170)

   Greek Drachmas, expiring 1/28/99  . . . . . . . . . .       450,000,000     1,592,920     1,569,086       23,834

   Italian Lire, expiring 1/28/99  . . . . . . . . . . .    18,950,000,000    11,259,655    11,327,490      (67,835)

   Japanese Yen, expiring 1/28/99  . . . . . . . . . . .     1,125,000,000     9,422,111     9,208,999      213,112

   New Zealand Dollars, expiring 1/28/99 . . . . . . . .         4,700,000     2,520,140     2,471,492       48,648

   Spanish Pesetas, expiring 1/28/99 . . . . . . . . . .     1,150,000,000     7,952,974     7,983,549      (30,575)

   Swedish Krona, expiring 1/28/99 . . . . . . . . . . .        23,150,000     2,868,649     2,848,469       20,180

   Swiss Francs, expiring 1/28/99  . . . . . . . . . . .         2,460,000     1,760,916     1,774,809      (13,893)
                                                                                                            ________

       Total . . . . . . . . . . . . . . . . . . . . . .                                                    $101,508
                                                                                                            ________

</TABLE>

   The  Fund  enters  into forward currency exchange contracts in order to hedge
its  exposure  to  changes  in  foreign  currency  exchange rates on its foreign
portfolio holdings. When executing forward currency exchange contracts, the Fund
is  obligated to buy or sell a foreign currency at a specified rate on a certain
date  in  the  future.  With  respect  to  sales  of  forward  currency exchange
contracts,  the  Fund  would incur a loss if the value of the contract increases
between  the  date  the  forward  contract  is  opened  and the date the forward
contract  is  closed.  The  Fund  realizes  a  gain if the value of the contract
decreases  between  those  dates.  With respect to purchases of forward currency
exchange  contracts,  the  Fund  would incur a loss if the value of the contract
decreases  between  the  date  the  forward  contract is opened and the date the
forward contract is closed. DREYFUS STRATEGIC GOVERNMENTS INCOME, INC.
- -----------------------------------------------------------------------------

NOTES TO FINANCIAL STATEMENTS (CONTINUED)

The  Fund  realizes  a gain if the value of the contract increases between those
dates.  The  Fund  is  also exposed to credit risk associated with counter party
nonperformance  on  these forward currency exchange contracts which is typically
limited to the unrealized gain on each open contract.

  In  addition,  the  following  table  summarizes  the  Fund's call/put options
written for the period ended November 30, 1998:
<TABLE>

                                                           Options Terminated

____________________


                                                                                                                        Net

                                                                 Number of       Premiums                            Realized

                                                                 Contracts       Received             Cost          Gain (Loss)
                                                                 __________      __________        __________       __________
<S>                                                                 <C>          <C>                <C>               <C>
OPTIONS WRITTEN:

Contracts outstanding November 30, 1997. . . . . . .........         500         $  600,000

Contracts written. ................................................. 1,500        1,040,949
                                                                   _____         __________

Contracts terminated:

   Closed.........................................................  1,600         1,462,824        $1,567,249        ($104,425)

   Expired . ...................................................    .400            178,125              --            178,125
                                                                   _____         __________       __________        __________

       Total contracts terminated  .........................       2,000          1,640,949       $1,567,249        $   73,700
                                                                   _____         __________       __________        __________
Contracts outstanding November 30, 1998. ...................       -----         ----------       ----------        ----------

</TABLE>


  The  Fund  may purchase and write (sell) put and call options in order to gain
exposure to or protect against changes in the market.

  As  a  writer  of  call options, the Fund receives a premium at the outset and
then  bears the market risk of unfavorable changes in the price of the financial
instrument underlying the option. Generally, the Fund would incur a gain, to the
extent  of  the  premium,  if  the  price of the underlying financial instrument
decreases  between  the  date  the  option  is written and the date on which the
option  is terminated. Generally, the Fund would realize a loss, if the price of
the financial instrument increases between those dates.

As a writer of put options, the Fund receives a premium at the outset and then
bears  the  market  risk  of  unfavorable  changes in the price of the financial
instrument underlying the option. Generally, the Fund would incur a gain, to the
extent  of  the  premium,  if  the  price of the underlying financial instrument
increases  between  the  date  the  option  is written and the date on which the
option  is terminated. Generally, the Fund would realize a loss, if the price of
the financial instrument decreases between those dates.

   The  Fund may invest in financial futures contracts in order to gain exposure
to  or protect against changes in the market. The Fund is exposed to market risk
as  a  result  of  changes in the value of the underlying financial instruments.
Investments in financial futures require the Fund to "mark to market" on a daily
basis,  which  reflects  the  change in the market value of the contracts at the
close  of  each day's trading. Typically, variation margin payments are received
or  made  to  reflect  daily  unrealized gains or losses. When the contracts are
closed,  the  Fund recognizes a realized gain or loss. These investments require
initial  margin  deposits  with  a  custodian,  which  consist  of  cash or cash
equivalents,   up  to  approximately  10%  of  the  contract  DREYFUS  STRATEGIC
GOVERNMENTS INCOME, INC.
- -----------------------------------------------------------------------------

NOTES TO FINANCIAL STATEMENTS (CONTINUED)

amount.  The  amount of these deposits is determined by the exchange or Board of
Trade  on  which the contract is traded and is subject to change. Contracts open
at November 30, 1998 are set forth in the Statement of Financial Futures.

   (B)  At  November  30,  1998,  accumulated  net  unrealized  depreciation  on
investments,  financial  futures,  and  forward  currency exchange contracts was
$1,363,856,   consisting   of   $3,721,817  gross  unrealized  appreciation  and
$5,085,673 gross unrealized depreciation.

At November 30, 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 STRATEGIC GOVERNMENTS INCOME, INC.
- -----------------------------------------------------------------------------

REPORT OF ERNST & YOUNG LLP, INDEPENDENT AUDITORS

SHAREHOLDERS AND BOARD OF DIRECTORS

DREYFUS STRATEGIC GOVERNMENTS INCOME, INC.

   We  have  audited  the  accompanying  statement  of assets and liabilities of
Dreyfus   Strategic  Governments  Income,  Inc.,  including  the  statements  of
investments  and  financial  futures,  as  of  November 30, 1998 and the related
statement of operations for the year then ended, the statement of changes in net
assets  for  each  of  the  two  years  in  the period then ended, and financial
highlights  for  the  periods  indicated therein. These financial statements and
financial  highlights  are  the  responsibility  of  the  Fund's management. Our
responsibility  is  to  express  an  opinion  on  these financial statements and
financial highlights based on our audits.

   We  conducted  our  audits  in  accordance  with  generally accepted auditing
standards.  Those standards require that we plan and perform the audit to obtain
reasonable  assurance  about  whether  the  financial  statements  and financial
highlights  are free of material misstatement. An audit includes examining, on a
test  basis,  evidence  supporting  the amounts and disclosures in the financial
statements  and  financial  highlights.  Our procedures included confirmation of
securities owned as of October 31, 1998 by correspondence with the custodian and
brokers.  An  audit  also  includes assessing the accounting principles used and
significant  estimates  made  by  management,  as well as evaluating the overall
financial   statement  presentation.  We  believe  that  our  audits  provide  a
reasonable basis for our opinion.

In our opinion, the financial statements and financial highlights referred to
above  present  fairly,  in  all  material  respects,  the financial position of
Dreyfus Strategic Governments Income, Inc., at November 30, 1998, the results of
its  operations  for the year then ended, the changes in its net assets for each
of  the two years in the period then ended, and the financial highlights for the
periods  indicated  therein,  in  conformity  with generally accepted accounting
principles.





New York, New York

January 12, 1999


DREYFUS STRATEGIC GOVERNMENTS INCOME, INC.
- -----------------------------------------------------------------------------

DIVIDEND REINVESTMENT AND CASH PURCHASE PLAN (UNAUDITED)

   The  Fund  generally  distributes  net investment income and any net realized
short-term  capital  gains  monthly, and net realized long-term capital gains at
least annually.

Under the Fund's Dividend Reinvestment and Cash Purchase Plan (the "Plan"), a
shareholder  who  has  Fund  shares  registered  in  his  own name will have all
distributions  reinvested  automatically by Mellon, as Plan agent (the "Agent"),
in  additional  shares  of  the  Fund' s Common Stock at the lower of prevailing
market  price  or  net asset value (but not less than 95% of market value at the
time  of  valuation)  unless such shareholder elects to receive cash as provided
below.  If  market  price is equal to or exceeds net asset value, shares will be
issued  at  net  asset  value.  If  net asset value exceeds market price or if a
dividend  or  other distribution payable only in cash is declared, the Agent, as
agent  for  the Plan participants, will buy shares of the Fund's Common Stock in
the  open  market. A Plan participant is not relieved of any income tax that may
be payable on such dividends or distributions.

   A   shareholder   who  owns  Fund  shares  registered  in  the  name  of  his
broker/dealer  or  other nominee (i.e., in "street name") may not participate in
the  Plan,  but  may elect to have cash dividend distributions reinvested by his
broker/dealer  or other nominee in additional shares of the Fund if such service
is  provided by the broker/dealer or other nominee; otherwise such distributions
will be treated like any other cash dividend.

   A  shareholder  who  has  Fund  shares  registered  in  his name may elect to
withdraw  from the Plan at any time for a $5.00 fee and thereby elect to receive
cash  in  lieu  of  shares of the Fund. Changes in elections must be in writing,
sent  to Mellon Bank, N.A., c/o ChaseMellon Shareholder Services, P.O. Box 3338,
South  Hackensack,  NJ  07606-1938,  should  include  the shareholder's name and
address  as  they  appear  on  the Agent's records and will be effective only if
received more than fifteen days prior to the record date for any distribution.

   A  Plan participant who has Fund shares registered in his name has the option
of  making  additional  cash payments to the Agent, semi-annually, in any amount
from  $100 to $500, for investment in the Fund's shares in the open market on or
about  January 15 and July 15. Any voluntary cash payments received more than 30
days  prior  to these dates will be returned by the Agent, and interest will not
be  paid on any uninvested cash payments. A participant may withdraw a voluntary
cash  payment by written notice, if the notice is received by the Agent not less
than  48 hours before the payment is to be invested. A shareholder who owns Fund
shares  registered  in street name should consult his broker/dealer to determine
whether   an   additional   cash   purchase  option  is  available  through  his
broker/dealer.

   The  Agent  maintains  all  shareholder  accounts  in  the Plan and furnishes
written  confirmations of all transactions in the account. Shares in the account
of  each  Plan participant will be held by the Agent in non-certificated form in
the  name  of  the  participant,  and each such participant's proxy will include
those shares purchased pursuant to the Plan.

   Plan  participants  pay  an Agent's fee of $.50 per reinvestment of dividends
and  distributions,  a  pro  rata  share  of brokerage commissions incurred with
respect  to  the Agent's open market purchases and purchases from voluntary cash
payments, and a $3.00 fee for each purchase made from a voluntary cash payment.

   The  Fund reserves the right to amend or terminate the Plan as applied to any
voluntary cash payments made and any dividend or distribution paid subsequent to
written  notice  of the change sent to Plan participants at least 90 days before
the  record date for such dividend or distribution. The Plan also may be amended
or  terminated  by  the  Agent  on  at  least  90  days'  written notice to Plan
participants.

DREYFUS STRATEGIC GOVERNMENTS INCOME, INC.
- -----------------------------------------------------------------------------

PROXY RESULTS (UNAUDITED)

  During  the  fiscal  year  ended  November 30, 1998, stockholders voted on the
following  proposals  presented at the annual stockholders' meeting held on June
5,  1998. The description of each proposal and the number of shares voted are as
follows:
<TABLE>
                                                                                              Shares
                                                                        ________________________________________________________

                                                                          For               Against          Abstained
                                                                      ____________        ____________      ____________
<S>                                                                      <C>                 <C>               <C>

1. To consider a proposal to convert the Fund
from a closed-end investment company
to an open-end investment company. . . . . . . . . . . . . . .           2,641,837           4,845,096          485,985

2. To ratify the selection of Ernst & Young LLP
as independent auditors of the Fund. . . . . . . . . . . . . .          12,604,319             129,089          186,264


                                                                           For          Authority Withheld
                                                                   ___________________  ___________________
3. To elect two Class III Directors:*

      Diane Dunst  . . . . . . . . . . . . . . . . . . . . . .          12,213,593             706,079

      Rosalind Gersten Jacobs  . . . . . . . . . . . . . . . .          12,205,831             713,841
- -----------------------------
</TABLE>

*  The terms of these Class III Directors expire in 2001.



                            OFFICERS AND DIRECTORS

                  DREYFUS STRATEGIC GOVERNMENTS INCOME, INC.

                                200 Park Avenue

                              New York, NY 10166

Directors

Joseph S. DiMartino, Chairman

David W. Burke

Diane Dunst

Rosalind Gersten Jacobs

Jay I. Meltzer

Daniel Rose

Warren B. Rudman

Sander Vanocur

Officers

President and Treasurer

    Marie E. Connolly

Vice President and Secretary

    Margaret W. Chambers

Vice President and Assistant Treasurer

    Mary A. Nelson

Vice President, Assistant Treasurer and Assistant Secretary

    Michael S. Petrucelli

Vice President, Assistant Treasurer and Assistant Secretary

    Stephanie Pierce

Vice President and Assistant Treasurer

    George A. Rio

Vice President and Assistant Treasurer

    Joseph F. Tower, III

Vice President and Assistant Secretary

    Douglas C. Conroy

Vice President and Assistant Secretary

    Christopher J. Kelley

Vice President and Assistant Secretary

    Kathleen K. Morrisey

Vice President and Assistant Secretary

    Elba Vasquez

Portfolio Managers

    Kevin McClintock

    Gerald Thunelius

    Jean Charles Bertrand

    Michel-Andre Levy

    Thierry Mirabe

    Jacques Sikarov

Investment Adviser

The Dreyfus Corporation

Sub-Investment Adviser

Sinopia Asset Management

Custodian

The Bank of New York

Counsel

Stroock & Stroock & Lavan LLP

Transfer Agent, Dividend Distribution Agent  and Registrar Mellon Bank, N.A.

Stock Exchange Listing

NYSE Symbol: DSI

Initial SEC Effective Date

June 23, 1988


The Net Asset Value appears in the  following publications: Barron's, Closed-End
Funds section under  the heading "World Income Funds"  every Monday; Wall Street
Journal, Mutual Funds section under the heading "Closed-End Funds World Income
Funds" every Monday; New York Times, Business Section under the heading
"Closed-End Funds World Income Funds"  every Sunday.


Notice  is  hereby  given  in  accordance  with  Section 23(c) of the Investment
Company Act of 1940, as amended, that the Fund may purchase shares of its common
stock  in the open market when it can do so at prices below the then current net
asset value per share.
- --------------------------------------------------------------------------------


                                   [reg.tm logo]

                                   (reg.tm)

DREYFUS STRATEGIC GOVERNMENTS

INCOME, INC.

200 Park Avenue

New York, NY 10166

INVESTMENT ADVISER

The Dreyfus Corporation

200 Park Avenue

New York, NY 10166

SUB-INVESTMENT ADVISER

Sinopia Asset Management

66 Rue de la Chaussee d'Antin

Paris, France 75009

CUSTODIAN

The Bank of New York

90 Washington Street

New York, NY 10286

TRANSFER AGENT,

DIVIDEND DISBURSING AGENT

& REGISTRAR

Mellon Bank, N.A.

85 Challenger Road

Ridgefield Park, NJ 07660

Printed in U.S.A.                                             429AR9811

Strategic

Governments

Income, Inc.

Annual Report

November 30, 1998





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