GENERAL CALIFORNIA MUNICIPAL BOND FUND INC /NY/
N-30D, 1998-11-24
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GENERAL CALIFORNIA MUNICIPAL BOND FUND, INC.
- -----------------------------------------------------------------------------

LETTER TO SHAREHOLDERS

Dear Shareholder:

  We  are  pleased  to  provide  you  with this report on the General California
Municipal Bond Fund, Inc. For the 12-month period ended September 30, 1998, your
Fund  produced a total return, including share price changes and dividend income
generated, of 8.76%,* and a tax-free distribution rate per share of 4.85%.**

THE ECONOMY

  The  risk of global recession loomed large by the end of the reporting period.
Since  last  summer,  the international economic crisis has spread from Asia and
Russia  into Latin America and its effects are evident in the U.S., as witnessed
by  early  signs  of  a  slowing  in  our domestic economy. Second-quarter gross
domestic product grew at an annual rate of 1.8%, well below the 5.5% rate in the
first  quarter,  while  the  trade  deficit  has continued to widen, affected by
weakening  foreign  demand  and  low-priced  imports.  These  developments  have
heightened  a  sense  of  global economic interdependence and have resulted in a
shift  in  emphasis  by the Federal Reserve Board whereby fighting inflation has
taken  a subordinate role to that of maintaining stable U.S. economic growth. As
Fed  Chairman  Alan Greenspan noted in early September: "It is just not credible
that  the  United States can remain an oasis of prosperity unaffected by a world
that  is  experiencing  greatly  increased stress." On September 29, the Federal
Open  Market Committee cut interest rates for the first time since January 1996.
That  quarter-point  reduction  in  the  Federal  Funds target rate to 5.25% was
designed  to  cushion the adverse effects of the overseas economic crisis on the
domestic economy. (The Federal Funds rate is the interest rate that banks charge
each other for overnight loans.)

  So  far,  shock waves from the overseas economic turmoil have been dampened by
the  continued  propensity  of U.S. consumers to spend. In the first half of the
year,  their spending outpaced earned income, an unsustainable phenomenon, yet a
telling  indicator  of  the  level  of  consumer  optimism. The reasons for such
optimism  are  no  surprise.  Inflation  remains tame, running at an annual rate
comfortably  below  2% . After-tax  income  is  growing.  Of  great economic and
psychological importance to consumers, jobs are plentiful; the unemployment rate
has  been  at  or near 30-year lows throughout the reporting period and new jobs
have been created at a robust pace.

  While  the  corporate sector wrestles with the economic implications of global
developments,  consumers have powered the economy. The consumer sector comprises
two-thirds  of  the  activity  in  the  $8-trillion  U.S.  economy and, with the
business  sector  slowing  (corporate profits declined in the second quarter for
the  first  time  in  nearly  a  decade) , any significant pullback in household
spending  could  trigger  a  recession.  Up  to  now,  the spillover effect from
developments abroad has been largely confined to the manufacturing sector, whose
activity has contracted of late due to the falloff in foreign demand. Aside from
this  "erosion  at  the  edges" as Chairman Greenspan describes it, layoffs on a
broader scale--a factor that could weaken consumer resolve to spend--so far have
not  occurred.  It  is  clear that the Fed is concerned about the possibility of
worldwide recession. The recent October interest rate reduction was a major step
by  the  Fed  toward  mitigating the domestic effects of international financial
turmoil  and  a gesture meant to serve notice to the world of the seriousness of
its purpose.

MARKET ENVIRONMENT

  Conditions  in  the  fixed-income  markets during the past 12 months have been
dynamic. The normal economic fundamentals, which exert the greatest influence on
the  direction  of  interest  rates, have taken a back seat to other influences.
Price  movements have often resulted from factors that are difficult to discern.
Most  investors  have  seen,  and  perhaps  felt,  the  effects of the Asian and
emerging  market crises on stocks; it has only come to light in recent weeks how
dramatic  the impact could be on the bond markets. Generally, the various market
sectors  respond  similarly  to  economic  and  other news by moving in the same
direction--though  not  necessarily  at  the  same  pace. However, these are not
normal  times.  Fear of a widening crisis in the foreign markets has pushed more
investors  to  the  relative  safety  of  U.S. government bonds. Compounding the
problem  are substantial hedge fund positions involving complex transactions. In
many  instances,  the  positions  entail owning low-quality corporate or foreign
bonds  and  short-selling  high-quality  U.S. Treasuries. The rapid rise in U.S.
Treasury  prices  has  forced the unwinding of many of these positions which, in
turn, has exacerbated the problem.

  It  is  difficult  to  anticipate  when the markets will return to more normal
conditions.  The  bond  markets  continue  to be driven by foreign liquidity and
hedge  funds'  deleveraging needs. Mindful of these forces and the prospects for
softening in the domestic economy, it appears that the Fed will have to maintain
an accommodative bias in its conduct of monetary policy.

  The  impact  on  municipal securities has generally been positive. Yields have
moved lower throughout the past year, though the path down has not been a smooth
one.  With  stock  prices  experiencing  significant  erosion, more signals of a
slowing  economy,  and  the  consensus view that the Fed will act again to lower
short-term  interest  rates,  we  believe  that  the merits of owning tax-exempt
securities  are  compelling.  For  example, some "AAA"-rated municipal bonds are
yielding  nearly  100% of the yield of taxable U.S. Treasury bonds. Furthermore,
while  the supply of newly issued municipal securities has been at a near-record
level for the past year, future projections call for a curtailment in the amount
of issues to be marketed.

PORTFOLIO FOCUS

  The  overriding  objective  in  managing  the  Fund continues to emphasize the
generation  of  income  exempt  from  both  California and Federal income taxes.
Because  of  the  narrowing  yield differentials between the highest-quality and
lower  rated  tax-exempts,  opportunities  to  make yield enhancements have been
limited  in  the current market environment. However, we would anticipate that a
softening  in  the  U.S. economy could lead to a more opportunistic environment.

  For  the  past  12 months the portfolio has been managed to maintain a neutral
posture  with  respect to the Fund's duration. Duration (a measure of the Fund's
sensitivity  to  changes  in  interest rates) has ranged between seven and eight
years.  This  neutral  duration  strategy  has worked successfully when interest
rates  have  not  declined too dramatically: During the market's latest upswing,
the  Fund  may not have captured as much price appreciation as more aggressively
structured  funds.  However,  in  view  of  our  positive  outlook for municipal
securities, we intend to add bonds to the Fund that will react more favorably if
interest  rates decline further as anticipated. Due to the price appreciation of
the  Fund' s  securities during the past 12 months, trading activity resulted in
the  realization  of  net capital gains, so we anticipate that shareholders will
again be receiving a capital gains distribution before the end of 1998.

  California' s  robust  economy  and  improving financial condition support our
position.  The  State' s  economy  continues  to outpace the country in terms of
employment  and  personal income growth. As a result of this strong performance,
last  month  Moody's Investors Service raised the rating on California's general
obligation bonds to Aa3 from A1.

  While  no one can determine when this period of market turbulence will end, we
continue  to  focus  on  our  long-term  objectives  of  maximizing  the  Fund's
distribution  of tax-free income, while achieving a competitive total return. We
trust that this philosophy is in keeping with your investment objectives.



               Very truly yours,


               [Richard J. Moynihan signature logo]



               Richard J. Moynihan

               Director, Municipal Portfolio Management

               The Dreyfus Corporation

October 16, 1998

New York, N.Y.

*Total  return  includes  reinvestment of dividends and any capital gains paid.
Income  may  be  subject  to  state  and  local  income taxes for non-California
residents.

**Distribution  rate per share is based upon dividends per share paid from net
investment income during the period, divided by the net asset value per share at
the  end of the period, adjusted for capital gain distributions. Some income may
be   subject   to   the  Federal  Alternative  Minimum  Tax  (AMT)  for  certain
shareholders.



<TABLE>
GENERAL CALIFORNIA MUNICIPAL BOND FUND, INC.               SEPTEMBER 30, 1998
- -----------------------------------------------------------------------------

   COMPARISON OF CHANGE IN VALUE OF $10,000 INVESTMENT IN GENERAL CALIFORNIA
    MUNICIPAL BOND FUND, INC. AND THE LEHMAN BROTHERS MUNICIPAL BOND INDEX

                                    Dollars

$20,520

Lehman Brothers  Municipal Bond Index*

$19,977

General California Municipal Bond Fund, Inc.

*Source: Lehman Brothers

Average Annual Total Returns
- -----------------------------------------------------------------------------

                      One Year Ended                   Five Years Ended             From Inception (10/10/89)

                    September 30, 1998                September 30, 1998              to September 30, 1998

                   ____________________             ____________________          __________________________
<S>                         <C>                              <C>                              <C>
                            8.76%                            5.78%                            8.02%
- ------------------------
</TABLE>

Past performance is not predictive of future performance.

The  above  graph  compares  a  $10,000  investment  made  in General California
Municipal  Bond  Fund, Inc. on 10/10/89 (Inception Date) to a $10,000 investment
made  in  the Lehman Brothers Municipal Bond Index on that date. For comparative
purposes,  the  value  of the Index on 9/30/89 is used as the beginning value on
10/10/89. All dividends and capital gain distributions are reinvested.

The   Fund   invests  primarily  in  California  municipal  securities  and  its
performance  shown  in  the line graph takes into account fees and expenses. The
Lehman  Brothers  Municipal Bond Index is not limited to investments principally
in  California  municipal  obligations  and  does not take into account fees and
expenses.  The  Lehman  Brothers  Municipal  Bond  Index, unlike the Fund, is an
unmanaged  total  return  performance  benchmark  for  the long-term, investment
grade,  geographically  unrestricted tax exempt bond market, calculated by using
municipal  bonds  selected to be representative of the municipal market overall.
These  factors  can  contribute to the Index potentially outperforming the Fund.
Further   information   relating   to   Fund   performance,   including  expense
reimbursements,  if applicable, is contained in the Financial Highlights section
of the Prospectus and elsewhere in this report.

<TABLE>
GENERAL CALIFORNIA MUNICIPAL BOND FUND, INC.
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STATEMENT OF INVESTMENTS                                   SEPTEMBER 30, 1998

                                                                                                   Principal

Long-Term Municipal Investments--99.6%                                                              Amount           Value
- -------------------------------------------------------                                         _____________     _____________

ABAG Finance Authority, Nonprofit Corps., MFHR
<S>                                                                                            <C>               <C>
  (Central Park Apartments) 5.60%, 7/1/2038  . . . . . . . . . . . . . . . . . . . . . . .     $    5,000,000    $    5,098,800

ABAG Finance Corporation., COP (ABAG XXIV) 6.90%, 4/1/2012 . . . . . . . . . . . . . . . .          3,500,000         3,687,530

Alameda County, COP (Various Financing Projects)

  6%, 9/1/2021 (Insured; MBIA, LOC; The Fuji Bank) . . . . . . . . . . . . . . . . . . . .          4,865,000         5,420,048

Allan Hancock Joint Community College District, COP, Refunding

  7.625%, 10/1/2005  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          1,055,000         1,175,523

Anaheim Public Financing Authority, Tax Allocation Revenue

  6.45%, 12/28/2018 (Insured; MBIA)  . . . . . . . . . . . . . . . . . . . . . . . . . . .          6,000,000         6,979,020

Beaumont Unified School District, COP (Capital Improvement Project)

  7.70%, 1/1/2021 (Prerefunded 1/1/2001) (a) . . . . . . . . . . . . . . . . . . . . . . .          1,100,000         1,219,119

California Educational Facilities Authority, Revenue

  (Chapman College) 7.50%, 1/1/2018 (Prerefunded 1/1/2001) (a) . . . . . . . . . . . . . .          1,760,000         1,946,296

California Health Facilities Financing Authority, Revenue:

 (HELP Group)

    7%, 8/1/2021 (Insured; California Health Facilities Construction Loan Program) . . . .          1,800,000         1,967,076

  (Kaiser) 5.40%, 5/1/2028 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          4,500,000         4,650,615

  (Pomona Valley Hospital Medical Center)

    7.375%, 1/1/2014 (Prerefunded 1/1/2000) (a)  . . . . . . . . . . . . . . . . . . . . .            750,000           800,970

  (Walden House) 6.85%, 3/1/2022 . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          3,225,000         3,531,440

California Housing Finance Agency:

 MFHR:

    6.15%, 8/1/2022 (Insured; AMBAC) . . . . . . . . . . . . . . . . . . . . . . . . . . .          3,850,000         4,119,346

    6.05%, 8/1/2038 (Insured; MBIA)  . . . . . . . . . . . . . . . . . . . . . . . . . . .          2,500,000         2,651,625

  SFMR:

    6%, 8/1/2016 (Insured; MBIA) . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          2,000,000         2,149,720

    6.375%, 8/1/2027 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          2,250,000         2,431,552

    5.60%, 8/1/2029 (Insured; MBIA)  . . . . . . . . . . . . . . . . . . . . . . . . . . .          4,350,000         4,531,351

    7.50%, 8/1/2029  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          1,065,000         1,107,589

    7.60%, 8/1/2030  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          1,365,000         1,435,297

    7.70%, 8/1/2030  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .            765,000           797,635

California Pollution Control Financing Authority, PCR, Refunding

  (San Diego Gas and Electric) 5.90%, 6/1/2014 (Insured; MBIA) . . . . . . . . . . . . . .          9,000,000        10,432,800

California Statewide Communities Development Authority:

 COP, Health Facilities Revenue, Refunding (Barton Memorial Hospital)

    6.50%, 12/1/2009 (LOC; Banque Nationale De Paris)  . . . . . . . . . . . . . . . . . .          1,600,000         1,758,384

  Special Facilities LR (United Airlines, Inc.):

    5.70%, 10/1/2033 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          8,600,000         8,909,428

    5.625%, 10/1/2034  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          2,895,000         2,982,429

Chico Public Financing Authority, Revenue

 (Chico Municipal Airport and Central Chico Redevelopment Project)

  7.40%, 4/1/2021 (Prerefunded 4/1/2000) (a) . . . . . . . . . . . . . . . . . . . . . . .          2,410,000         2,595,112

Commerce Joint Powers Financing Authority, Revenue, Multiple Project Loans

  8%, 3/1/2022 (Prerefunded 3/1/2001) (a)  . . . . . . . . . . . . . . . . . . . . . . . .          2,395,000         2,688,555

GENERAL CALIFORNIA MUNICIPAL BOND FUND, INC.
- -----------------------------------------------------------------------------

STATEMENT OF INVESTMENTS (CONTINUED)                       SEPTEMBER 30, 1998

                                                                                                  Principal

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

Contra Costa County, Mortgage Revenue, Refunding (Cedar Pointe)

  6.15%, 9/1/2025 (Insured; FHA) . . . . . . . . . . . . . . . . . . . . . . . . . . . . .     $    2,955,000    $    3,129,286

Del Mar Race Track Authority, Revenue, Refunding 6.20%, 8/15/2011. . . . . . . . . . . . .          2,000,000         2,190,540

Dry Creek Joint School District, Special Tax

 (Community Facilities District Number 1)

  7.25%, 9/1/2011 (Insured; FSA, Prerefunded 9/1/2000) (a) . . . . . . . . . . . . . . . .          1,000,000         1,091,270

Duarte, COP (Hope City Medical Center) 6%, 4/1/2008. . . . . . . . . . . . . . . . . . . .          4,070,000         4,328,852

East Bay Municipal Utility District, Water System Revenue

  4.75%, 6/1/2028 (Insured; MBIA)  . . . . . . . . . . . . . . . . . . . . . . . . . . . .          5,910,000         5,812,603

Fontana Public Financing Authority, Tax Allocation Revenue, Refunding

  (North Fontana Redevelopment Project) 7.25%, 9/1/2020  . . . . . . . . . . . . . . . . .          2,000,000         2,123,900

Fontana Redevelopment Agency, Tax Allocation, Refunding

 (Jurupa Hills Redevelopment Project):

    5.50%, 10/1/2019 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          2,000,000         2,070,980

    5.50%, 10/1/2027 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          5,000,000         5,168,950

Foothill/Eastern Transportation Corridor Agency, Toll Road Revenue:

  6%, 1/1/2034 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          5,000,000         5,401,750

  5%, 1/1/2035 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          4,955,000         4,869,080

Fresno Unified School District, COP (Phase VI Project)

  7.20%, 5/1/2011 (Prerefunded 5/1/2001) (a) . . . . . . . . . . . . . . . . . . . . . . .          4,250,000         4,719,498

Hollister Redevelopment Agency, Tax Allocation

 (Hollister Community Development Project)

  7.55%, 10/1/2013 (Prerefunded 10/1/1999) (a) . . . . . . . . . . . . . . . . . . . . . .          1,000,000         1,061,550

Inglewood, HR (Daniel Freeman Hospital)

  6.75%, 5/1/2013 (Prerefunded 5/1/2001) (a) . . . . . . . . . . . . . . . . . . . . . . .          2,000,000         2,199,800

Loma Linda, HR (Loma Linda University Medical Center Project)

  6%, 12/1/2023  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          5,000,000         5,277,750

Los Angeles County Metropolitan Transportation Authority, Sales Tax Revenue

  Refunding 6%, 7/1/2026 (Insured; MBIA) . . . . . . . . . . . . . . . . . . . . . . . . .          5,000,000         5,536,900

Metropolitan Water District, Southern California Waterworks Revenue, Refunding

  4.75%, 7/1/2022  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         10,000,000         9,838,400

Monterey County, COP (Natividad Medical Center Improvement):

  4.75%, 8/1/2020 (Insured; MBIA)  . . . . . . . . . . . . . . . . . . . . . . . . . . . .          3,680,000         3,657,515

  4.75%, 8/1/2027 (Insured; MBIA)  . . . . . . . . . . . . . . . . . . . . . . . . . . . .          5,650,000         5,519,485

M-S-R Public Power Agency, Power Revenue, Refunding

  (San Juan Project) 5.90%, 7/1/2020 . . . . . . . . . . . . . . . . . . . . . . . . . . .          6,930,000         6,940,326

Newhall Elementary and Castaic Union School Districts, COP

  (School Improvement Project) 7.70%, 3/1/2011 (Prerefunded 3/1/2001) (a)  . . . . . . . .          2,695,000         2,957,116

Northern California Power Agency, Public Power Revenue, Refunding

  (Hydroelectric Project Number 1) 6.30%, 7/1/2018 (Insured; MBIA) . . . . . . . . . . . .         20,400,000        24,613,212

Orange County, COP, Special Tax (Community Facilities District Number 87-3)

  7.80%, 8/15/2015 (Prerefunded 8/15/2000) (a) . . . . . . . . . . . . . . . . . . . . . .          1,500,000         1,645,620

GENERAL CALIFORNIA MUNICIPAL BOND FUND, INC.
- -----------------------------------------------------------------------------


STATEMENT OF INVESTMENTS (CONTINUED)                       SEPTEMBER 30, 1998

                                                                                                  Principal

Long-Term Municipal Investments (continued)                                                         Amount            Value
- -------------------------------------------------------                                         _____________     _____________
Otay Municipal Water District (Improvement District Number 27)

  6.70%, 9/1/2022 (Prerefunded 9/1/2002) (a) . . . . . . . . . . . . . . . . . . . . . . .     $    2,000,000    $    2,263,560

Port Oakland, Special Facilities Revenue (Mitsui O.S.K. Lines Limited)

  6.80%, 1/1/2019 (LOC; Industrial Bank of Japan)  . . . . . . . . . . . . . . . . . . . .          3,000,000         3,285,780

Redwood City Elementary School District 5%, 8/1/2015 (Insured; FGIC) . . . . . . . . . . .          3,875,000         4,085,335

Richmond Joint Powers Financing Authority, Revenue

  7.25%, 5/15/2013 (Prerefunded 5/15/2000) (a) . . . . . . . . . . . . . . . . . . . . . .          2,000,000         2,158,980

Riverside County Asset Leasing Corporation, LR

  (Riverside County Hospital Project) Zero Coupon, 6/1/2021 (Insured; MBIA)  . . . . . . .          2,550,000           825,971

Sacramento County, Special Tax (Community Facilities District Number 1):

  8.25%, 12/1/2020 (Prerefunded 12/1/2000) (a) . . . . . . . . . . . . . . . . . . . . . .          5,610,000         6,266,538

  Refunding 5.70%, 12/1/2020 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          1,250,000         1,275,675

San Bernardino, Health Care Systems Revenue (Sisters of Charity)

  7%, 7/1/2021 (Prerefunded 7/1/2001) (a)  . . . . . . . . . . . . . . . . . . . . . . . .          2,000,000         2,222,040

San Diego Convention Center Expansion Financing Authority, LR

  4.75%, 4/1/2028 (Insured; AMBAC) . . . . . . . . . . . . . . . . . . . . . . . . . . . .          5,050,000         4,967,281

San Francisco City and County Airports Commission, International Airport
Revenue:

  5%, 5/1/2018 (Insured; FSA)  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          5,000,000         5,044,650

  5.90%, 5/1/2026  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          9,385,000        10,090,658

San Joaquin Hills Transportation Corridor Agency, Toll Road Revenue

  (Junior Lien) Zero Coupon, 1/1/2010  . . . . . . . . . . . . . . . . . . . . . . . . . .          5,000,000         3,037,000

San Marcos Public Facilities Authority, Revenue, Refunding

  (Public Improvement-Civic Center) 6.20%, 8/1/2022  . . . . . . . . . . . . . . . . . . .          3,000,000         3,117,780

San Marcos Unified School District

 (School Facilities Improvement District Number 1)

  5.80%, 11/1/2014 (Insured; AMBAC)  . . . . . . . . . . . . . . . . . . . . . . . . . . .          3,540,000         3,968,375

Santa Cruz County Redevelopment Agency, Tax Allocation

  (Subordinated-Live Oak/Soquel Community Improvement) 5.625%, 9/1/2022  . . . . . . . . .          3,335,000         3,553,409

Simi Valley, Single Family Residential Mortgage Revenue 7.625%, 8/1/2022 (b) . . . . . . .            997,866           169,637

Southern California Home Finance Authority, SFMR

  6.90%, 10/1/2024 (Collateralized: FNMA and GNMA) . . . . . . . . . . . . . . . . . . . .          1,620,000         1,713,685

Southern California Public Power Authority, Power Project Revenue

  (Multiple Projects) 6.75%, 7/1/2011 (Insured; FSA) . . . . . . . . . . . . . . . . . . .          3,750,000         4,663,238

Stockton, Health Facilities Revenue, Refunding (Dameron Hospital Association)

  5.70%, 12/1/2014 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          1,000,000         1,032,030

Tehachapi Unified School District, COP (Tompkins Elementary School Project)

  7.80%, 2/1/2021 (Prerefunded 2/1/2001) (a) . . . . . . . . . . . . . . . . . . . . . . .          1,000,000         1,100,490

Tracy Area Public Facilities Financing Agency, Special Tax, Refunding

  (Community Facilities District Number 87-1) 5.875%, 10/1/2013 (Insured; MBIA)  . . . . .          7,000,000         7,841,960

Turlock, COP, Health Facilities Revenue, Refunding

  (Emanuel Medical Center, Inc.) 5.75%, 10/15/2023 . . . . . . . . . . . . . . . . . . . .          6,000,000         6,159,960

GENERAL CALIFORNIA MUNICIPAL BOND FUND, INC.
- -----------------------------------------------------------------------------

STATEMENT OF INVESTMENTS (CONTINUED)                       SEPTEMBER 30, 1998

                                                                                                  Principal

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

West Covina Redevelopment Agency, Special Tax, Refunding

 (Community Facilities District--Fashion Plaza):

    6%, 9/1/2017 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .     $    6,000,000    $    6,843,780

    6%, 9/1/2022 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          8,325,000         9,548,609

Yolo County Housing Authority, Mortgage Revenue (Walnut Park Apartments)

  7.20%, 8/1/2033 (Insured; FHA) . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          4,150,000         4,473,659

                                                                                                                  _____________

TOTAL LONG-TERM MUNICIPAL INVESTMENTS (cost $271,719,774). . . . . . . . . . . . . . . . .                         $294,931,723

                                                                                                                  _____________


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

California Pollution Control Financing Authority, PCR, VRDN

  (Southern California Edison) 3.15% (c) . . . . . . . . . . . . . . . . . . . . . . . . .     $    1,100,000    $    1,100,000

Newport Beach, Revenue, VRDN:

  (Hoay Memorial Hospital) Series A, 2.90% (c) . . . . . . . . . . . . . . . . . . . . . .          1,000,000         1,000,000

  (Hoay Memorial Hospital) Series C, 2.90% (c) . . . . . . . . . . . . . . . . . . . . . .          2,200,000         2,200,000

                                                                                                                  _____________

TOTAL SHORT-TERM MUNICIPAL INVESTMENTS (cost $4,300,000) . . . . . . . . . . . . . . . . .                        $   4,300,000

                                                                                                                  _____________


TOTAL INVESTMENTS (cost $276,019,774). . . . . . . . . . . . . . . . . . . . . . . . . . .             101.1%      $299,231,723

                                                                                                      _______     _____________


LIABILITIES, LESS CASH AND RECEIVABLES . . . . . . . . . . . . . . . . . . . . . . . . . .             (1.1%)   $   (3,221,267)

                                                                                                      _______     _____________

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .             100.0%      $296,010,456

                                                                                                      _______     _____________
</TABLE>
<TABLE>
GENERAL CALIFORNIA MUNICIPAL BOND FUND, INC.
- -----------------------------------------------------------------------------


Summary of Abbreviations
- -----------------------------------------------------------------------------
<S>         <C>                                                     <C>         <C>
AMBAC       American Municipal Bond Assurance Corporation           LOC         Letter of Credit

COP         Certificate of Participation                            LR          Lease Revenue

FGIC        Financial Guaranty Insurance Company                    MFHR        Multi-Family Housing Revenue

FHA         Federal Housing Administration                          MBIA        Municipal Bond Investors Assurance

FNMA        Federal National Mortgage Association                                  Insurance Corporation

FSA         Financial Security Assurance                            PCR         Pollution Control Revenue

GNMA        Government National Mortgage Association                SFMR        Single Family Mortgage Revenue

HR          Hospital Revenue                                        VRDN        Variable Rate Demand Notes

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

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

____                               ________                          _________________              ___________________

AAA                                Aaa                               AAA                                  42.2%

AA                                 Aa                                AA                                    6.5

A                                  A                                 A                                    22.8

BBB                                Baa                               BBB                                  20.8

D                                  N/A                               D                                      .1

F-1+ & F-1                         MIG1,VMIG1,& P1                   SP1 & A1                              1.4

Not Rated (d)                      Not Rated (d)                     Not Rated (d)                         6.2

                                                                                                         _______

                                                                                                         100.0%

                                                                                                         _______

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

(a)  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.

(b)  Non-income producing security; interest payments in default.

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

(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.

(e)  At September 30, 1998, 29.0% of the Fund's net assets are insured by MBIA.

                      SEE NOTES TO FINANCIAL STATEMENTS.
<TABLE>
GENERAL CALIFORNIA MUNICIPAL BOND FUND, INC.
- -----------------------------------------------------------------------------

STATEMENT OF ASSETS AND LIABILITIES                        SEPTEMBER 30, 1998

                                                                                                    Cost              Value
                                                                                                _____________     _____________
<S>                                                                                              <C>               <C>
ASSETS:                          Investments in securities--See Statement of Investments . .     $276,019,774      $299,231,723

                                 Cash  . . . . . . . . . . . . . . . . . . . . . . . . . .                              239,535

                                 Interest receivable . . . . . . . . . . . . . . . . . . .                            4,318,179

                                 Receivable for shares of Common Stock subscribed  . . . .                                  250

                                 Prepaid expenses  . . . . . . . . . . . . . . . . . . . .                               48,658

                                                                                                                  _____________

                                                                                                                    303,838,345

                                                                                                                  _____________

LIABILITIES:                     Due to The Dreyfus Corporation and affiliates . . . . . .                              148,906

                                 Payable for investment securities purchased . . . . . . .                            7,625,670

                                 Accrued expenses  . . . . . . . . . . . . . . . . . . . .                               53,313

                                                                                                                  _____________

                                                                                                                      7,827,889

                                                                                                                  _____________

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                         $296,010,456

                                                                                                                  _____________


REPRESENTED BY:                  Paid-in capital . . . . . . . . . . . . . . . . . . . . .                         $269,677,753

                                 Accumulated net realized gain (loss) on investments . . .                            3,120,754

                                 Accumulated net unrealized appreciation (depreciation)

                                   on investments--Note 4  . . . . . . . . . . . . . . . .                           23,211,949

                                                                                                                  _____________

NET ASSETS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                         $296,010,456

                                                                                                                  _____________


SHARES OUTSTANDING

(500 million shares of $.001 par value Common Stock authorized). . . . . . . . . . . . . .                           21,274,252

NET ASSET VALUE, offering and redemption price per share--Note 3(d). . . . . . . . . . . .                               $13.91

                                                                                                                        _______


                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>
GENERAL CALIFORNIA MUNICIPAL BOND FUND, INC.
- -----------------------------------------------------------------------------

STATEMENT OF OPERATIONS                         YEAR ENDED SEPTEMBER 30, 1998

INVESTMENT INCOME
<S>                                                                                              <C>                <C>
INCOME                           Interest Income . . . . . . . . . . . . . . . . . . . . .                          $16,549,962

EXPENSES:                        Management fee--Note 3(a) . . . . . . . . . . . . . . . .       $  1,749,203

                                 Shareholder servicing costs--Note 3(b)  . . . . . . . . .            341,320

                                 Professional fees . . . . . . . . . . . . . . . . . . . .             39,355

                                 Directors' fees and expenses--Note 3(c) . . . . . . . . .             34,071

                                 Custodian fees  . . . . . . . . . . . . . . . . . . . . .             30,594

                                 Registration fees . . . . . . . . . . . . . . . . . . . .             14,265

                                 Prospectus and shareholders' reports  . . . . . . . . . .             13,090

                                 Loan commitment fees--Note 2  . . . . . . . . . . . . . .              1,757

                                 Miscellaneous . . . . . . . . . . . . . . . . . . . . . .             17,673

                                                                                                 ____________

                                    Total Expenses . . . . . . . . . . . . . . . . . . . .                            2,241,328

                                                                                                                   ____________

INVESTMENT INCOME--NET . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .                           14,308,634

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

                                 Net realized gain (loss) on investments . . . . . . . . .       $  3,116,198

                                 Net unrealized appreciation (depreciation) on investments . .      7,160,883

                                                                                                 ____________

NET REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS . . . . . . . . . . . . . . . . . .                           10,277,081

                                                                                                                   ____________

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS . . . . . . . . . . . . . . . . . . .                          $24,585,715

                                                                                                                   ____________


                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>
GENERAL CALIFORNIA MUNICIPAL BOND FUND, INC.
- -----------------------------------------------------------------------------

STATEMENT OF CHANGES IN NET ASSETS

                                                                                       Year Ended             Year Ended

                                                                                   September 30, 1998     September 30, 1997
                                                                                   __________________     __________________

OPERATIONS:
<S>                                                                                     <C>                    <C>
  Investment income--net . . . . . . . . . . . . . . . . . . . . . . . . . . . .        $  14,308,634          $  15,118,128

  Net realized gain (loss) on investments  . . . . . . . . . . . . . . . . . . .            3,116,198              1,593,884

  Net unrealized appreciation (depreciation) on investments  . . . . . . . . . .            7,160,883              7,392,293

                                                                                        _____________          _____________

    Net Increase (Decrease) in Net Assets Resulting from Operations  . . . . . .           24,585,715             24,104,305

                                                                                        _____________          _____________

DIVIDENDS TO SHAREHOLDERS FROM:

  Investment income--net . . . . . . . . . . . . . . . . . . . . . . . . . . . .          (14,504,662)           (15,349,099)

  Net realized gain on investments . . . . . . . . . . . . . . . . . . . . . . .           (1,543,915)            (5,388,593)

                                                                                        _____________          _____________

    Total Dividends  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          (16,048,577)           (20,737,692)

                                                                                        _____________          _____________

CAPITAL STOCK TRANSACTIONS:

  Net proceeds from shares sold  . . . . . . . . . . . . . . . . . . . . . . . .           43,599,346             51,850,255

  Dividends reinvested . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           11,154,889             14,541,143

  Cost of shares redeemed  . . . . . . . . . . . . . . . . . . . . . . . . . . .          (58,825,931)           (75,010,729)

                                                                                        _____________          _____________

    Increase (Decrease) in Net Assets from Capital Stock Transactions  . . . . .           (4,071,696)            (8,619,331)

                                                                                        _____________          _____________

       Total Increase (Decrease) in Net Assets . . . . . . . . . . . . . . . . .            4,465,442            (5,252,718)

NET ASSETS:

  Beginning of Period  . . . . . . . . . . . . . . . . . . . . . . . . . . . . .          291,545,014            296,797,732

                                                                                      _____________          _____________

  End of Period  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .         $296,010,456           $291,545,014

                                                                                        _____________          _____________


Undistributed investment income--net . . . . . . . . . . . . . . . . . . . . . .             ----             $      196,028

                                                                                        _____________          _____________

                                                                                            Shares                 Shares

                                                                                        _____________          _____________

CAPITAL SHARE TRANSACTIONS:

  Shares sold  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .            3,196,561              3,898,171

  Shares issued for dividends reinvested . . . . . . . . . . . . . . . . . . . .              817,966              1,091,458

  Shares redeemed  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .           (4,319,009)            (5,636,312)

                                                                                        _____________          _____________

    Net Increase (Decrease) in Shares Outstanding  . . . . . . . . . . . . . . .             (304,482)              (646,683)

                                                                                        _____________          _____________


                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
<TABLE>
GENERAL CALIFORNIA MUNICIPAL BOND FUND, 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.


                                                                                    Year Ended September 30,

                                                                      ______________________________________________________

PER SHARE DATA:                                                    1998         1997         1996         1995         1994

                                                                    ______       ______       ______        ______       ______
<S>                                                                 <C>          <C>          <C>           <C>          <C>
   Net asset value, beginning of period  . . . . . . . . . .        $13.51       $13.35       $13.30        $12.90       $14.36

                                                                    ______       ______       ______        ______       ______

   Investment Operations:

   Investment income--net  . . . . . . . . . . . . . . . . .           .67          .69          .70           .73          .78

   Net realized and unrealized gain (loss)

       on investments  . . . . . . . . . . . . . . . . . . .           .48          .41          .19           .48        (1.40)

                                                                    ______       ______       ______        ______       ______

   Total from Investment Operations  . . . . . . . . . . . .          1.15         1.10          .89          1.21         (.62)

                                                                    ______       ______       ______        ______       ______

   Distributions:

   Dividends from investment income--net . . . . . . . . . .          (.68)        (.70)        (.68)         (.73)        (.78)

   Dividends from net realized gain on investments . . . . .          (.07)        (.24)        (.16)         (.08)        (.06)

                                                                    ______       ______       ______        ______       ______

   Total Distributions . . . . . . . . . . . . . . . . . . .          (.75)        (.94)        (.84)         (.81)        (.84)

                                                                    ______       ______       ______        ______       ______

   Net asset value, end of period  . . . . . . . . . . . . .        $13.91       $13.51       $13.35        $13.30       $12.90

                                                                    ______       ______       ______        ______       ______


TOTAL INVESTMENT RETURN. . . . . . . . . . . . . . . . . . .          8.76%        8.56%        6.85%         9.82%       (4.43%)

RATIOS/SUPPLEMENTAL DATA:

   Ratio of expenses to average net assets . . . . . . . . .           .77%         .76%         .76%          .76%         .76%

   Ratio of net investment income

       to average net assets . . . . . . . . . . . . . . . .          4.91%        5.15%        5.25%         5.66%        5.72%

   Portfolio Turnover Rate . . . . . . . . . . . . . . . . .         63.60%       90.03%      164.93%        83.31%       29.74%

   Net Assets, end of period (000's Omitted) . . . . . . . .       $296,010     $291,545     $296,798      $317,835     $347,063

                      SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>
GENERAL CALIFORNIA MUNICIPAL BOND FUND, INC.
- -----------------------------------------------------------------------------

NOTES TO FINANCIAL STATEMENTS

NOTE 1--SIGNIFICANT ACCOUNTING POLICIES:

  General  California Municipal Bond Fund, Inc. (the "Fund") is registered under
the  Investment Company Act of 1940, as amended (the "Act") as a non-diversified
open-end  management  investment  company. The Fund's investment objective is to
maximize  current  income  exempt  from Federal and State of California personal
income  taxes  to  the  extent  consistent with the preservation of capital. The
Dreyfus Corporation (the "Manager") serves as the Fund's investment adviser. The
Manager  is  a  direct  subsidiary  of  Mellon  Bank,  N.A.  Premier Mutual Fund
Services,  Inc.  is  the distributor of the Fund's shares, which are sold to the
public without a sales charge.

  The  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  Directors. 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 custodian
agreement,  the  Fund received net earnings credits of $18,345 during the period
ended  September  30,  1998  based  on  available cash balances left on deposit.
Income earned under this arrangement is included in interest income.

  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.

GENERAL CALIFORNIA MUNICIPAL BOND FUND, INC.
- -----------------------------------------------------------------------------

NOTES TO FINANCIAL STATEMENTS (CONTINUED)

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
September 30, 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 .60 of 1% of the value of the Fund's average
daily net assets and is payable monthly.

  (B)  Under the Shareholder Services Plan, the Fund reimburses Dreyfus Service
Corporation,  a  wholly-owned subsidiary of the Manager, an amount not to exceed
an  annual rate of .25 of 1% of the value of the Fund's average daily net assets
for certain allocated expenses of providing personal services and/or maintaining
shareholder  accounts.  The  services  provided  may  include  personal services
relating  to  shareholder  accounts,  such  as  answering  shareholder inquiries
regarding  the  Fund  and  providing reports and other information, and services
related  to  the  maintenance  of  shareholder accounts. During the period ended
September  30,  1998,  the Fund was charged $202,927 pursuant to the Shareholder
Services Plan.

  The  Fund compensates Dreyfus Transfer, Inc., a wholly-owned subsidiary of the
Manager,   under  a  transfer  agency  agreement  for  providing  personnel  and
facilities  to  perform transfer agency services for the Fund. During the period
ended  September 30, 1998, the Fund was charged $90,195 pursuant to the transfer
agency agreement.

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

  (D)  A  .10%  redemption  fee  is  charged and retained by the Fund on certain
redemptions  of  Fund  shares (including redemptions through the use of the Fund
Exchanges  service)  where  the  redemption or exchange occurs less than fifteen
days following the date of issuance. During the period ended September 30, 1998,
redemption fees amounted to $1,412.

NOTE 4--SECURITIES TRANSACTIONS:

  The  aggregate  amount  of  purchases  and  sales  of  investment  securities,
excluding  short-term  securities,  during  the  period ended September 30, 1998
amounted to $183,019,145 and $182,235,019, respectively.

  At  September 30, 1998, accumulated net unrealized appreciation on investments
was  $23,211,949,  consisting  of  $24,081,114 gross unrealized appreciation and
$869,165 gross unrealized depreciation.

At September 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).


GENERAL CALIFORNIA MUNICIPAL BOND FUND, INC.
- -----------------------------------------------------------------------------

REPORT OF ERNST & YOUNG LLP, INDEPENDENT AUDITORS

SHAREHOLDERS AND BOARD OF DIRECTORS

GENERAL CALIFORNIA MUNICIPAL BOND FUND, INC.

We have audited the accompanying statement of assets and liabilities of General
California Municipal Bond Fund, Inc., including the statement of investments, as
of September 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 each of the years indicated
therein.   These   financial   statements   and  financial  highlights  are  the
responsibility  of  the  Fund' s management. Our responsibility is to express an
opinion  on  these  financial  statements  and financial highlights based on our
audits.

 We  conducted  our  audits  in  accordance  with  generally  accepted  auditing
standards.  Those standards require that we plan and perform the audit to obtain
reasonable  assurance  about  whether  the  financial  statements  and financial
highlights  are free of material misstatement. An audit includes examining, on a
test  basis,  evidence  supporting  the amounts and disclosures in the financial
statements  and  financial  highlights.  Our procedures included confirmation of
securities  owned  as of September 30, 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
General  California Municipal Bond Fund, Inc. at September 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
each  of  the  indicated years, in conformity with generally accepted accounting
principles.


                                        [Ernst & Young LLP signature logo]


New York, New York

October 30, 1998


GENERAL CALIFORNIA MUNICIPAL BOND FUND, INC.
- -----------------------------------------------------------------------------

IMPORTANT TAX INFORMATION (UNAUDITED)

 In  accordance  with  Federal  tax  law,  the  Fund  hereby makes the following
designations regarding its fiscal year ended September 30, 1998:

 --all  the  dividends  paid  from  investment  income-net  are "exempt-interest
dividends"  (not  generally  subject  to  regular  Federal  income  tax and, for
individuals who are California residents, California personal income taxes), and

 --the  Fund  hereby  designates  $.0061  per  share as a long-term capital gain
distribution (of which 0% is subject to the 20% maximum Federal tax rate) of the
$.0717 per share paid on December 4, 1997.

As required by Federal tax law rules, shareholders will receive notification of
their portion of the Fund's taxable ordinary dividends (if any) and capital gain
distributions  (if  any)  paid for the 1998 calendar year on Form 1099-DIV which
will be mailed by January 31, 1999.

Dreyfus lion "d" logo                                   (reg.tm)

Dreyfus logo                                   (reg.tm)


GENERAL CALIFORNIA

MUNICIPAL BOND FUND, INC.

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.                                              131AR989

General California

Municipal

Bond Fund, Inc.

Annual Report

September 30, 1998


COMPARISON OF CHANGE IN VALUE OF $10,000 INVESTMENT
IN GENERAL CALIFORNIA MUNICIPAL BOND FUND, INC.
AND THE LEHMAN BROTHERS MUNICIPAL BOND INDEX

EXHIBIT A:

                     LEHMAN              GENERAL
                    BROTHERS            CALIFORNIA
 PERIOD             MUNICIPAL           MUNICIPAL
                  BOND INDEX *       BOND FUND, INC.

10/10/89              10,000                  10,000
9/30/90               10,680                  10,676
9/30/91               12,088                  11,888
9/30/92               13,351                  13,114
9/30/93               15,053                  15,086
9/30/94               14,685                  14,418
9/30/95               16,328                  15,834
9/30/96               17,314                  16,919
9/30/97               18,875                  18,367
9/30/98               20,520                  19,977

*Source: Lehman Brothers



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