General California Municipal Money Market Fund N-CSR Certified annual shareholder report (management investment company)

UNITED STATES
SECURITIES AND EXCHANGE COMMISSION
Washington, D.C.  20549

FORM N-CSR

CERTIFIED SHAREHOLDER REPORT OF REGISTERED MANAGEMENT
INVESTMENT COMPANIES

Investment Company Act file number			811-4871
	General California Municipal Money Market Fund
	(Exact name of Registrant as specified in charter)
	c/o The Dreyfus Corporation 200 Park Avenue New York, New York  10166
	(Address of principal executive offices)        (Zip code)
	Michael A. Rosenberg, Esq. 200 Park Avenue New York, New York  10166
	(Name and address of agent for service)
Registrant's telephone number, including area code:				(212) 922-6000
Date of fiscal year end:		11/30
Date of reporting period:		11/30/10

FORM N-CSR

Item 1.                        Reports to Stockholders.

General California

Municipal Money

Market Fund

ANNUAL REPORT November 30, 2010

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The views expressed in this report reflect those of the portfolio manager only through the end of the period covered and do not necessarily represent the views of Dreyfus or any other person in the Dreyfus organization. Any such views are subject to change at any time based upon market or other conditions and Dreyfus disclaims any responsibility to update such views.These views may not be relied on as investment advice and, because investment decisions for a Dreyfus fund are based on numerous factors, may not be relied on as an indication of trading intent on behalf of any Dreyfus fund.

	Contents
	THE FUND
2	A Letter from the Chairman and CEO
3	Discussion of Fund Performance
6	Understanding Your Fund’s Expenses
6	Comparing Your Fund’s Expenses With Those of Other Funds
7	Statement of Investments
19	Statement of Assets and Liabilities
20	Statement of Operations
21	Statement of Changes in Net Assets
22	Financial Highlights
24	Notes to Financial Statements
32	Report of Independent Registered Public Accounting Firm
33	Important Tax Information
34	Information About the Review and Approval of the Fund’s Management Agreement
38	Board Members Information
40	Officers of the Fund
	FOR MORE INFORMATION
	Back Cover

General California

Municipal Money Market Fund

The Fund

A LETTER FROM THE CHAIRMAN AND CEO

Dear Shareholder:

We are pleased to present this annual report for General California Municipal Money Market Fund, covering the 12-month period from December 1, 2009, through November 30, 2010.

Although U.S. GDP growth was positive throughout the reporting period, the economic recovery has been milder than historical averages. As a result, the Federal Reserve Board has maintained an aggressively accommodative monetary policy in order to moderate stubbornly high levels of unemployment and persistent weakness in housing markets.

We are cautiously optimistic regarding the U.S. economy’s prospects in 2011.A weaker U.S. dollar is likely to support exports and limit imports, residential construction appears set to begin recovering from depressed levels, and employment growth has begun to expand enough to generate gains in wage and salary income. However, we expect inflationary pressures and short-term interest rates to remain low, potentially preventing any significant rise in money market yields over the foreseeable future. So is your overall portfolio positioned accordingly? Talk with your financial advisor, who can help you evaluate your current “liquid asset” needs and your future portfolio investment needs.

For information about how the fund performed during the reporting period, as well as general market perspectives, we provide a Discussion of Fund Performance on the pages that follow.

Thank you for your continued confidence and support.

Jonathan R. Baum
Chairman and Chief Executive Officer
The Dreyfus Corporation
December 15, 2010

2

DISCUSSION OF FUND PERFORMANCE

For the period of December 1, 2009, through November 30, 2010, as provided by Joseph Irace, Senior Portfolio Manager

Fund and Market Performance Overview

For the 12-month period ended November 30, 2010, General California Municipal Money Market Fund’s Class A and Class B shares produced yields of 0.00% and 0.00%, respectively.Taking into account the effects of compounding, the fund’s Class A and Class B shares produced effective yields of 0.00% and 0.00%, respectively.¹

Money market yields remained at historical lows as the U.S. economy recovered sluggishly from recession and the Federal Reserve Board (the “Fed”) left short-term interest rates unchanged.

The Fund’s Investment Approach

The fund seeks to maximize current income exempt from federal and California state personal income taxes to the extent consistent with the preservation of capital and the maintenance of liquidity.

In pursuing this objective, we employ two primary strategies. First, we normally attempt to add value by constructing a portfolio of high-quality, municipal money market instruments that provide income exempt from federal and California state personal income taxes. Second, we actively manage the fund’s average maturity based on our anticipation of supply-and-demand changes in California’s short-term municipal marketplace.

For example, if we expect an increase in short-term supply, we may decrease the average maturity of the fund, which could enable us to take advantage of opportunities when short-term supply increases. Generally, yields tend to rise when there is an increase in new-issue supply competing for investor interest. New securities, which are generally issued with maturities in the one-year range, may in turn lengthen the fund’s weighted average maturity if purchased. If we anticipate limited new-issue supply, we may then look to extend the

The Fund 3

DISCUSSION OF FUND PERFORMANCE (continued)

fund’s average maturity to maintain then-current yields for as long as we believe practical. In addition, we try to maintain an average maturity that reflects our view of short-term interest-rate trends and future supply-and-demand considerations.

Low Yields in a Subpar Recovery

While the U.S. economy continued to recover from recession during the reporting period, the rebound has been milder than historical averages. Manufacturing activity and corporate earnings have increased, but unemployment remained stubbornly high, and many regional housing markets have not yet improved meaningfully. In addition, these economic concerns were exacerbated in the spring by a resurgent sovereign debt crisis in Europe and a catastrophic oil spill in the Gulf of Mexico.

Like most states, California remained under fiscal pressure throughout the reporting period. The benefits of California’s large and diverse economic base have been offset by the state government’s difficulties in budgeting effectively and building reserves, resulting in financial challenges that are expected to persist for some time.

Supply-and-demand influences generally were favorable during the reporting period. Despite heavier borrowing needs nationally, the supply of newly issued municipal money market instruments remained relatively low, primarily due to the federally subsidized Build America Bonds program, which shifted a portion of municipal issuance to the taxable bond market. Meanwhile, demand remained robust, including from non-traditional investors seeking alternatives to taxable money market instruments.

In this environment, and as it has since December 2008, the Fed maintained its target for the overnight federal funds rate in a range between 0% and 0.25%. Later in the reporting period, with no room for additional reductions of the federal funds rate, the Fed embarked on a new round of quantitative easing in which it purchased $600 million of U.S.Treasury securities. Because money market yields generally remained anchored by the historically low federal funds rate, tax-exempt money market instruments provided yields of little more than zero percent.

4

Focus on Liquidity and Capital Preservation

During the reporting period, we continued our conservative investment posture, emphasizing direct, high-quality municipal obligations and tax-exempt commercial paper that were deemed creditworthy by our credit analysts.We also favored instruments backed by pledged tax appropriations or revenues from universities, hospitals and facilities providing essential services. We generally shied away from the state’s general obligation debt and instruments issued by entities that depend heavily on state aid. Finally, we maintained the fund’s weighted average maturity in a range that was roughly in line with industry averages.

Increased Supply Could Lift Yields

Despite ongoing signs of economic recovery, inflation has been negligible, and the Fed appears set to maintain its aggressively accommodative monetary policy for some time to come. Therefore, we believe the prudent course continues to be an emphasis on preservation of capital and liquidity. However, we currently expect the supply of newly issued tax-exempt money market instruments to trend higher in 2011 after the Build America Bonds program expires, which could support higher yields.As always, we are prepared to adjust the fund’s strategies should economic and market conditions change.

December 15, 2010

	An investment in the fund is not insured or guaranteed by the FDIC or any other government
	agency.Although the fund seeks to preserve the value of your investment at $1.00 per share, it is
	possible to lose money by investing in the fund.
	Short-term municipal securities holdings, while rated in the highest rating category by one or more
	NRSRO (or unrated, if deemed of comparable quality by Dreyfus), involve credit and liquidity
	risks and risk of principal loss.
1	Effective yield is based upon dividends declared daily and reinvested monthly. Past performance is
	no guarantee of future results.Yields fluctuate. Income may be subject to state and local taxes for
	non-California residents, and some income may be subject to the federal alternative minimum tax
	(AMT) for certain investors.Yields provided for the fund’s Class A and Class B shares reflect the
	absorption of certain fund expenses by The Dreyfus Corporation pursuant to a voluntary
	undertaking that may be extended, terminated or modified at any time. Had these expenses not
	been absorbed, fund yields would have been lower.

The Fund 5

UNDERSTANDING YOUR FUND’S EXPENSES (Unaudited)

As a mutual fund investor, you pay ongoing expenses, such as management fees and other expenses. Using the information below, you can estimate how these expenses affect your investment and compare them with the expenses of other funds.You also may pay one-time transaction expenses, including sales charges (loads) and redemption fees, which are not shown in this section and would have resulted in higher total expenses. For more information, see your fund’s prospectus or talk to your financial adviser.

Review your fund’s expenses

The table below shows the expenses you would have paid on a $1,000 investment in General California Municipal Money Market Fund from June 1, 2010 to November 30, 2010. It also shows how much a $1,000 investment would be worth at the close of the period, assuming actual returns and expenses.

Expenses and Value of a $1,000 Investment
assuming actual returns for the six months ended November 30, 2010

		Class A		Class B
Expenses paid per $1,000†	$	2.06	$	2.06
Ending value (after expenses)	$	1,000.00	$	1,000.00

COMPARING YOUR FUND’S EXPENSES
WITH THOSE OF OTHER FUNDS (Unaudited)

Using the SEC’s method to compare expenses

The Securities and Exchange Commission (SEC) has established guidelines to help investors assess fund expenses. Per these guidelines, the table below shows your fund’s expenses based on a $1,000 investment, assuming a hypothetical 5% annualized return. You can use this information to compare the ongoing expenses (but not transaction expenses or total cost) of investing in the fund with those of other funds.All mutual fund shareholder reports will provide this information to help you make this comparison. Please note that you cannot use this information to estimate your actual ending account balance and expenses paid during the period.

Expenses and Value of a $1,000 Investment
assuming a hypothetical 5% annualized return for the six months ended November 30, 2010

		Class A		Class B
Expenses paid per $1,000†	$	2.08	$	2.08
Ending value (after expenses)	$	1,023.01	$	1,023.01

† Expenses are equal to the fund’s annualized expense ratio of .41% for Class A and .41% for Class B, multiplied

by the average account value over the period, multiplied by 183/365 (to reflect the one-half year period).

6

STATEMENT OF INVESTMENTS

November 30, 2010

Short-Term	Coupon	Maturity	Principal
Investments—98.5%	Rate (%)	Date	Amount ($)		Value ($)
California—95.8%
ABAG Finance Authority for
Nonprofit Corporations,
Revenue (Northbay Healthcare
Group) (LOC; JPMorgan
Chase Bank)	0.32	12/7/10	2,100,000	a	2,100,000
Alameda County Industrial
Development Authority, Revenue
(Golden West Paper Converting
Corporation Project) (LOC;
Comerica Bank)	0.39	12/7/10	3,315,000	a	3,315,000
Alameda County Industrial
Development Authority, Revenue
(Oakland Pallet Company, Inc.
Project) (LOC; Comerica Bank)	0.39	12/7/10	2,340,000	a	2,340,000
Alameda County Industrial
Development Authority, Revenue
(P.J.’s Lumber, Inc. Project)
(LOC; Comerica Bank)	0.48	12/7/10	1,905,000	a	1,905,000
Alameda County Industrial
Development Authority, Revenue
(Pacific Paper Tube, Inc. Project)
(LOC; Wells Fargo Bank)	0.34	12/7/10	2,075,000	a	2,075,000
Alameda County Industrial
Development Authority, Revenue
(Plastikon Industries Inc.
Project) (LOC; California State
Teachers Retirement System)	0.49	12/7/10	2,960,000	a	2,960,000
Alameda County Industrial
Development Authority, Revenue
(Spectrum Label Corporation
Project) (LOC; Bank of the West)	0.36	12/7/10	2,700,000	a	2,700,000
Alameda County Industrial
Development Authority, Revenue
(Tool Family Partnership Project)
(LOC; Wells Fargo Bank)	0.34	12/7/10	1,835,000	a	1,835,000
Alameda County Industrial
Development Authority, Revenue
(Unique Elevator Interiors, Inc.
Project) (LOC; Comerica Bank)	0.39	12/7/10	2,505,000	a	2,505,000

The Fund 7

STATEMENT OF INVESTMENTS (continued)

Short-Term	Coupon	Maturity	Principal
Investments (continued)	Rate (%)	Date	Amount ($)		Value ($)
California (continued)
Alameda County Industrial
Development Authority,
Revenue (United Manufacturing
Assembly, Inc. Project)
(LOC; Wells Fargo Bank)	0.30	12/7/10	2,000,000	a	2,000,000
Alameda Unified School District,
GO Notes, TRAN	2.00	6/30/11	5,900,000		5,933,756
California,
GO Notes
(Kindergarten-University)
(LOC; Citibank NA)	0.29	12/7/10	17,000,000	a	17,000,000
California,
GO Notes (LOC; Citibank NA)	0.29	12/7/10	9,000,000	a	9,000,000
California Economic Development
Financing Authority, IDR (Volk
Enterprises, Inc. Project)
(LOC; JPMorgan Chase Bank)	0.35	12/7/10	1,600,000	a	1,600,000
California Economic Development
Financing Authority, IDR
(Vortech Engineering, Inc.
Project) (LOC; U.S. Bank NA)	0.30	12/7/10	1,790,000	a	1,790,000
California Enterprise Development
Authority, IDR (JBR, Inc.
Project) (LOC; U.S. Bank NA)	0.33	12/7/10	10,000,000	a	10,000,000
California Enterprise Development
Authority, IDR (Le Chef Bakery
Project) (LOC; U.S. Bank NA)	0.35	12/7/10	6,085,000	a	6,085,000
California Infrastructure and
Economic Development Bank,
IDR (Chaparral Property Project)
(LOC; Comerica Bank)	0.45	12/7/10	1,200,000	a	1,200,000
California Infrastructure and
Economic Development Bank,
IDR (G&G Specialty Foods, Inc.
Project) (LOC; Comerica Bank)	0.45	12/7/10	1,247,050	a	1,247,050
California Infrastructure and
Economic Development Bank,
IDR (International Raisins, Inc.
Project) (LOC; M&T Trust)	0.60	12/7/10	3,750,000	a	3,750,000

8

Short-Term	Coupon	Maturity	Principal
Investments (continued)	Rate (%)	Date	Amount ($)		Value ($)
California (continued)
California Infrastructure
and Economic Development
Bank, IDR (Starter and
Alternator Exchange, Inc.
Project) (LOC; California
State Teachers
Retirement System)	0.36	12/7/10	5,000,000	a	5,000,000
California Infrastructure and
Economic Development Bank,
IDR (Studio Moulding Project)
(LOC; Comerica Bank)	0.45	12/7/10	2,715,000	a	2,715,000
California Infrastructure and
Economic Development Bank,
IDR (Surtec, Inc. Project)
(LOC; Wells Fargo Bank)	0.42	12/7/10	1,650,000	a	1,650,000
California Infrastructure and
Economic Development Bank,
Revenue (7/11 Materials, Inc.
Project) (LOC; California State
Teachers Retirement System)	0.34	12/7/10	1,805,000	a	1,805,000
California Infrastructure and
Economic Development Bank,
Revenue (Orange County
Performing Arts Center)
(LOC; Bank of America)	0.28	12/1/10	12,015,000	a	12,015,000
California Infrastructure and
Economic Development Bank,
Revenue, Refunding (Los
Angeles County Museum of
Natural History Foundation)
(LOC; Wells Fargo Bank)	0.27	12/1/10	9,000,000	a	9,000,000
California Pollution Control
Financing Authority, PCR
(Evergreen Oil, Inc. Project)
(LOC; Bank of The West)	0.37	12/7/10	4,830,000	a,b	4,830,000
California Pollution Control
Financing Authority, SWDR
(Ag Resources, III LLC Project)
(LOC; CoBank ACB)	0.37	12/7/10	2,780,000	a,b	2,780,000

The Fund 9

STATEMENT OF INVESTMENTS (continued)

Short-Term	Coupon	Maturity	Principal
Investments (continued)	Rate (%)	Date	Amount ($)		Value ($)
California (continued)
California Pollution Control
Financing Authority,
SWDR (Amador Valley
Industries, LLC Project)
(LOC; Wells Fargo Bank)	0.34	12/7/10	3,965,000	a,b	3,965,000
California Pollution Control
Financing Authority, SWDR
(Athens Services Project)
(LOC; Wells Fargo Bank)	0.30	12/7/10	15,200,000	a,b	15,200,000
California Pollution Control
Financing Authority, SWDR (Bay
Counties Waste Services, Inc.
Project) (LOC; Comerica Bank)	0.40	12/7/10	3,985,000	a,b	3,985,000
California Pollution Control
Financing Authority, SWDR
(Blue Line Transfer, Inc.
Project) (LOC; Union Bank NA)	0.37	12/7/10	425,000	a,b	425,000
California Pollution Control
Financing Authority, SWDR
(Blue Line Transfer, Inc.
Project) (LOC; Union Bank NA)	0.37	12/7/10	4,115,000	a,b	4,115,000
California Pollution Control
Financing Authority, SWDR
(Blue Line Transfer, Inc.
Project) (LOC; Union Bank NA)	0.37	12/7/10	2,100,000	a,b	2,100,000
California Pollution Control
Financing Authority, SWDR
(Burrtec Waste Industries, Inc.
Project) (LOC; U.S. Bank NA)	0.32	12/7/10	450,000	a,b	450,000
California Pollution Control
Financing Authority, SWDR
(Chicago Grade Landfill, Inc.
Project) (LOC; Comerica Bank)	0.40	12/7/10	255,000	a	255,000
California Pollution Control
Financing Authority, SWDR
(CR&R Inc. Project)
(LOC; Bank of the West)	0.37	12/7/10	24,310,000	a,b	24,310,000
California Pollution Control
Financing Authority, SWDR
(CR&R Inc. Project)
(LOC; Bank of the West)	0.37	12/7/10	7,840,000	a,b	7,840,000

10

Short-Term	Coupon	Maturity	Principal
Investments (continued)	Rate (%)	Date	Amount ($)		Value ($)
California (continued)
California Pollution Control
Financing Authority, SWDR
(Desert Properties LLC
Project) (LOC; Union Bank NA)	0.37	12/7/10	4,485,000	a,b	4,485,000
California Pollution Control
Financing Authority, SWDR
(GreenWaste Recovery, Inc.
Project) (LOC; Comerica Bank)	0.40	12/7/10	2,620,000	a,b	2,620,000
California Pollution Control
Financing Authority, SWDR
(GreenWaste Recovery, Inc.
Project) (LOC; Comerica Bank)	0.40	12/7/10	1,015,000	a,b	1,015,000
California Pollution Control
Financing Authority, SWDR
(GreenWaste Recovery, Inc.
Project) (LOC; Comerica Bank)	0.40	12/7/10	5,730,000	a	5,730,000
California Pollution Control
Financing Authority, SWDR
(Marin Sanitary Service
Project) (LOC; Comerica Bank)	0.40	12/7/10	7,135,000	a,b	7,135,000
California Pollution Control
Financing Authority, SWDR
(Mid-Valley Disposal Project)
(LOC; Union Bank NA)	0.37	12/7/10	3,260,000	a,b	3,260,000
California Pollution Control
Financing Authority, SWDR
(Mission Trail Waste Systems, Inc.
Project) (LOC; Comerica Bank)	0.40	12/7/10	2,805,000	a,b	2,805,000
California Pollution Control
Financing Authority, SWDR
(Mottra Corporation Project)
(LOC; Wells Fargo Bank)	0.37	12/7/10	785,000	a	785,000
California Pollution Control
Financing Authority, SWDR
(Napa Recycling and Waste
Services, LLC Project) (LOC;
Union Bank NA)	0.37	12/7/10	6,300,000	a,b	6,300,000
California Pollution Control
Financing Authority, SWDR
(Pena’s Disposal, Inc.
Project) (LOC; Comerica Bank)	0.40	12/7/10	2,135,000	a,b	2,135,000

The Fund 11

STATEMENT OF INVESTMENTS (continued)

Short-Term	Coupon	Maturity	Principal
Investments (continued)	Rate (%)	Date	Amount ($)		Value ($)
California (continued)
California Pollution Control
Financing Authority, SWDR
(Rainbow Disposal Company Inc.
Project) (LOC; Union Bank NA)	0.37	12/7/10	17,815,000	a,b	17,815,000
California Pollution Control
Financing Authority, SWDR
(Solid Wastes of Willits, Inc.
Project) (LOC; Union Bank NA)	0.37	12/7/10	3,655,000	a,b	3,655,000
California Pollution Control
Financing Authority, SWDR
(Solid Wastes of Willits, Inc.
Project) (LOC; Union Bank NA)	0.37	12/7/10	1,710,000	a	1,710,000
California Pollution Control
Financing Authority, SWDR
(South Tahoe Refuse Company, Inc.
Project) (LOC; Union Bank NA)	0.37	12/7/10	4,200,000	a,b	4,200,000
California Pollution Control
Financing Authority, SWDR
(South Lake Refuse Company, LLC
Project) (LOC; Union Bank NA)	0.37	12/7/10	2,880,000	a,b	2,880,000
California Pollution Control
Financing Authority, SWDR
(Sunset Waste Paper, Inc.
Project) (LOC; Comerica Bank)	0.40	12/7/10	4,510,000	a,b	4,510,000
California Pollution Control
Financing Authority, SWDR
(Sunset Waste Paper, Inc.
Project) (LOC; Comerica Bank)	0.40	12/7/10	4,646,000	a	4,646,000
California Pollution Control
Financing Authority, SWDR
(Upper Valley Disposal Service
Project) (LOC; Union Bank NA)	0.37	12/7/10	1,940,000	a,b	1,940,000
California Pollution Control
Financing Authority, SWDR
(Valley Vista Services, Inc.
Project) (LOC; Comerica Bank)	0.40	12/7/10	2,920,000	a,b	2,920,000

12

Short-Term	Coupon	Maturity	Principal
Investments (continued)	Rate (%)	Date	Amount ($)		Value ($)
California (continued)
California Pollution Control
Financing Authority, SWDR
(West Valley MRF, LLC Project)
(LOC; Union Bank NA)	0.37	12/7/10	5,200,000	a,b	5,200,000
California School Cash Reserve
Program Authority, Revenue	2.50	12/30/10	22,250,000		22,276,254
California Statewide Communities
Development Authority, IDR
(American Modular System
Project) (LOC; Bank of the West)	0.80	12/7/10	3,200,000	a	3,200,000
California Statewide Communities
Development Authority, MFHR
(Lake Merritt Apartments)
(LOC; U.S. Bank NA)	0.35	12/7/10	3,700,000	a	3,700,000
California Statewide Communities
Development Authority, MFHR
(Liquidity Facility; FHLMC and
LOC; FHLMC)	0.39	12/7/10	20,000,000	a,c	20,000,000
California Statewide Communities
Development Authority, MFHR
(Pittsburg Plaza Apartments)
(LOC; FHLB)	0.35	12/7/10	4,600,000	a	4,600,000
California Statewide Communities
Development Authority, MFHR
(Seminole Gardens Apartments)
(LOC; FHLB)	0.35	12/7/10	2,935,000	a	2,935,000
California Statewide Communities
Development Authority, TRAN
(County of Yolo)	2.00	6/30/11	11,465,000		11,530,595
California Transit Finance
Authority, Revenue (California
Transit Finance Program)
(Insured; Assured Guaranty
Municipal Corp. and Liquidity
Facility; Dexia Credit Locale)	0.33	12/7/10	18,030,000	a	18,030,000

The Fund 13

STATEMENT OF INVESTMENTS (continued)

Short-Term	Coupon	Maturity	Principal
Investments (continued)	Rate (%)	Date	Amount ($)		Value ($)
California (continued)
Contra Costa County,
COP (Concord Healthcare
Center, Inc.) (LOC;
Bank of America)	0.41	12/7/10	810,000	a	810,000
Deutsche Bank Spears/Lifers Trust
(Anaheim Redevelopment
Agency, Tax Allocation Revenue,
Refunding (Anaheim Merged
Redevelopment Project Area))
(Liquidity Facility; Deutsche Bank
AG and LOC; Deutsche Bank AG)	0.30	12/7/10	12,100,000	a,c	12,100,000
Irvine Assessment District Number
05-21, Limited Obligation
Improvement Bonds (LOC:
California State Teachers
Retirement System and
U.S. Bank NA)	0.27	12/1/10	14,300,000	a	14,300,000
Irvine Assessment District Number
97-17, Limited Obligation
Improvement Bonds (LOC; State
Street Bank and Trust Co.)	0.27	12/1/10	4,600,000	a	4,600,000
Los Angeles,
GO Notes, TRAN	2.00	6/30/11	23,700,000		23,887,761
Los Angeles Community
Redevelopment Agency, COP
(Broadway-Spring Center
Project) (LOC; Comerica Bank)	0.59	12/7/10	2,500,000	a	2,500,000
Los Angeles Department of Water
and Power, Power System
Revenue (Liquidity Facility;
Bank of America)	0.28	12/1/10	6,000,000	a	6,000,000
Los Angeles Industrial Development
Authority, Empowerment Zone
Facility Revenue (Megatoys
Project) (LOC; FHLB)	0.38	12/7/10	3,000,000	a	3,000,000
Menlo Park Community Development
Agency, Tax Allocation Revenue,
Refunding (Las Pulgas
Community Development
Project) (LOC; State Street
Bank and Trust Co.)	0.29	12/1/10	17,700,000	a	17,700,000

14

Short-Term	Coupon	Maturity	Principal
Investments (continued)	Rate (%)	Date	Amount ($)		Value ($)
California (continued)
Poway Unified School District
Public Financing Authority, LR
(Insured; Assured Guaranty
Municipal Corp. and Liquidity
Facility; Dexia Credit Locale)	0.45	12/7/10	7,800,000	a	7,800,000
Puttable Floating Option Tax
Exempt Receipts (California
Statewide Communities
Development Authority, MFHR
(La Mision Village Apartments
Project)) (Liquidity Facility;
FHLMC and LOC; FHLMC)	0.46	12/7/10	900,000	a,c	900,000
Puttable Floating Option Tax
Exempt Receipts (California
Statewide Communities
Development Authority, Revenue
(Japanese American National
Museum)) (Liquidity Facility;
Merrill Lynch Capital Services
and LOC; Merrill Lynch
Capital Services)	0.56	12/7/10	3,700,000	a,c	3,700,000
Riverside County Industrial
Development Authority, IDR
(Trademark Plastics Inc.
Project) (LOC; California State
Teachers Retirement System)	0.40	12/7/10	4,275,000	a	4,275,000
Riverside County Industrial
Development Authority, IDR
(TRM Manufacturing Inc.
Project) (LOC; FHLB)	0.32	12/7/10	4,500,000	a	4,500,000
Riverside County Transportation
Commission, Sales Tax Revenue
(Liquidity Facility; JPMorgan
Chase Bank)	0.30	12/7/10	2,900,000	a	2,900,000
Southern California Public Power
Authority, Transmission
Project Revenue (Southern
Transmission Project)
(Insured; Assured Guaranty
Municipal Corp. and Liquidity
Facility; Dexia Credit Locale)	0.39	12/7/10	21,000,000	a	21,000,000

The Fund 15

STATEMENT OF INVESTMENTS (continued)

Short-Term	Coupon	Maturity	Principal
Investments (continued)	Rate (%)	Date	Amount ($)			Value ($)
U.S. Related—2.7%
Puerto Rico Sales Tax Financing
Corporation, Sales Tax Revenue
(Liquidity Facility; Citibank NA)	0.29	12/7/10	3,700,000		a,c	3,700,000
Puerto Rico Sales Tax Financing
Corporation, Sales Tax Revenue
(Liquidity Facility; Citibank NA)	0.29	12/7/10	5,000,000		a,c	5,000,000
Puttable Floating Option Tax
Exempt Receipts (Puerto Rico
Highways and Transportation
Authority, Highway Revenue)
(Liquidity Facility; Dexia
Credit Locale and LOC; Dexia
Credit Locale)	0.47	12/7/10	4,925,000		a,c	4,925,000
Total Investments (cost $499,396,416)			98.5	%		499,396,416
Cash and Receivables (Net)			1.5	%		7,632,618
Net Assets			100.0	%		507,029,034

a Variable rate demand note—rate shown is the interest rate in effect at November 30, 2010. Maturity date represents

the next demand date, or the ultimate maturity date if earlier.

b At November 30, 2010, the fund had $142,875,000 or 28.2% of net assets invested in securities whose payment

of principal and interest is dependent upon revenues generated from pollution control.

c 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, 2010, these

securities amounted to $50,325,000 or 9.9% of net assets.

16

Summary of Abbreviations
ABAG	Association of Bay Area Governments	ACA	American Capital Access
AGC	ACE Guaranty Corporation	AGIC	Asset Guaranty Insurance Company
AMBAC	American Municipal Bond	ARRN	Adjustable Rate Receipt Notes
	Assurance Corporation
BAN	Bond Anticipation Notes	BPA	Bond Purchase Agreement
CIFG	CDC Ixis Financial Guaranty	COP	Certificate of Participation
CP	Commercial Paper	EDR	Economic Development Revenue
EIR	Environmental Improvement Revenue	FGIC	Financial Guaranty Insurance
			Company
FHA	Federal Housing Administration	FHLB	Federal Home Loan Bank
FHLMC	Federal Home Loan Mortgage	FNMA	Federal National
	Corporation		Mortgage Association
GAN	Grant Anticipation Notes	GIC	Guaranteed Investment Contract
GNMA	Government National	GO	General Obligation
	Mortgage Association
HR	Hospital Revenue	IDB	Industrial Development Board
IDC	Industrial Development Corporation	IDR	Industrial Development Revenue
LOC	Letter of Credit	LOR	Limited Obligation Revenue
LR	Lease Revenue	MFHR	Multi-Family Housing Revenue
MFMR	Multi-Family Mortgage Revenue	PCR	Pollution Control Revenue
PILOT	Payment in Lieu of Taxes	PUTTERS Puttable Tax-Exempt Receipts
RAC	Revenue Anticipation Certificates	RAN	Revenue Anticipation Notes
RAW	Revenue Anticipation Warrants	RRR	Resources Recovery Revenue
SAAN	State Aid Anticipation Notes	SBPA	Standby Bond Purchase Agreement
SFHR	Single Family Housing Revenue	SFMR	Single Family Mortgage Revenue
SONYMA	State of New York Mortgage Agency	SWDR	Solid Waste Disposal Revenue
TAN	Tax Anticipation Notes	TAW	Tax Anticipation Warrants
TRAN	Tax and Revenue Anticipation Notes	XLCA	XL Capital Assurance

The Fund 17

STATEMENT OF INVESTMENTS (continued)

Summary of Combined Ratings (Unaudited)
Fitch	or	Moody’s	or	Standard & Poor’s	Value (%)†
F1+ ,F1		VMIG1,MIG1,P1		SP1+,SP1,A1+,A1	100.0

† Based on total investments.

See notes to financial statements.

18

STATEMENT OF ASSETS AND LIABILITIES

November 30, 2010

	Cost	Value
Assets ($):
Investments in securities—See Statement of Investments	499,396,416	499,396,416
Cash		8,088,162
Interest receivable		845,264
Prepaid expenses		25,155
		508,354,997
Liabilities ($):
Due to The Dreyfus Corporation and affiliates—Note 2(c)		161,123
Payable for shares of Beneficial Interest redeemed		1,096,918
Accrued expenses		67,922
		1,325,963
Net Assets ($)		507,029,034
Composition of Net Assets ($):
Paid-in capital		507,029,034
Net Assets ($)		507,029,034
Net Asset Value Per Share
	Class A	Class B
Net Assets ($)	448,247,811	58,781,223
Shares Outstanding	448,048,000	58,757,468
Net Asset Value Per Share ($)	1.00	1.00
See notes to financial statements.

The Fund 19

STATEMENT OF OPERATIONS

Year Ended November 30, 2010

Investment Income ($):
Interest Income	2,258,783
Expenses:
Management fee—Note 2(a)	2,783,459
Shareholder servicing costs—Notes 1 and 2(c)	404,614
Distribution fees and prospectus fees—Note 2(b)	129,451
Professional fees	78,552
Custodian fees—Note 2(c)	64,601
Registration fees	53,326
Trustees’ fees and expenses—Note 2(d)	37,931
Prospectus and shareholders’ reports	23,239
Miscellaneous	32,292
Total Expenses	3,607,465
Less—reduction in expenses due to undertaking—Note 2(a)	(1,312,205	)
Less—reduction in shareholder servicing costs
due to undertaking—Note 2(c)	(36,873	)
Less—reduction in fees due to earnings credits—Note 2(c)	(311	)
Net Expenses	2,258,076
Investment Income—Net, representing net increase
in net assets resulting from operations	707

See notes to financial statements.

20

STATEMENT OF CHANGES IN NET ASSETS

	Year Ended November 30,
	2010		2009
Operations ($):
Investment Income-Net, representing net increase
in net assets resulting from operations	707		2,023,859
Dividends to Shareholders from ($):
Investment income—net:
Class A Shares	(684	)	(2,051,968	)
Class B Shares	(23	)	(26,657	)
Total Dividends	(707	)	(2,078,625	)
Beneficial Interest Transactions ($1.00 per share):
Net proceeds from shares sold:
Class A Shares	1,548,423,567		2,416,171,994
Class B Shares	191,743,433		219,446,844
Dividends reinvested:
Class A Shares	621		1,825,890
Class B Shares	23		26,657
Cost of shares redeemed:
Class A Shares	(1,638,955,133	)	(2,780,872,835	)
Class B Shares	(204,802,705	)	(230,271,353	)
Increase (Decrease) in Net Assets from
Beneficial Interest Transactions	(103,590,194	)	(373,672,803	)
Total Increase (Decrease) in Net Assets	(103,590,194	)	(373,727,569	)
Net Assets ($):
Beginning of Period	610,619,228		984,346,797
End of Period	507,029,034		610,619,228
See notes to financial statements.

The Fund 21

FINANCIAL HIGHLIGHTS

The following tables describe the performance for each share class for the fiscal periods indicated. All information reflects financial results for a single fund share. Total return shows how much your investment in the fund would have increased (or decreased) during each period, assuming you had reinvested all dividends and distributions.These figures have been derived from the fund’s financial statements.

			Year Ended November 30,
Class A Shares	2010		2009		2008		2007		2006
Per Share Data ($):
Net asset value, beginning of period	1.00		1.00		1.00		1.00		1.00
Investment Operations:
Investment income—net	.000	a	.002		.019		.031		.028
Distributions:
Dividends from investment income—net	(.000	)a	(.002	)	(.019	)	(.031	)	(.028	)
Net asset value, end of period	1.00		1.00		1.00		1.00		1.00
Total Return (%)	.00	b	.24		1.94		3.12		2.87
Ratios/Supplemental Data (%):
Ratio of total expenses
to average net assets	.59		.62		.58		.58		.58
Ratio of net expenses
to average net assets	.41		.58		.57		.58		.58
Ratio of net investment income
to average net assets	.00	b	.27		1.84		3.07		2.84
Net Assets, end of period ($ x 1,000)	448,248		538,776		901,709		528,101		426,232

a	Amount represents less than $.001 per share.
b	Amount represents less than .01%.

See notes to financial statements.

22

			Year Ended November 30,
Class B Shares	2010		2009		2008		2007		2006
Per Share Data ($):
Net asset value, beginning of period	1.00		1.00		1.00		1.00		1.00
Investment Operations:
Investment income—net	.000	a	.000	a	.015		.027		.024
Distributions:
Dividends from investment income—net	(.000	)a	(.000	)a	(.015	)	(.027	)	(.024	)
Net asset value, end of period	1.00		1.00		1.00		1.00		1.00
Total Return (%)	.00	b	.03		1.51		2.69		2.46
Ratios/Supplemental Data (%):
Ratio of total expenses
to average net assets	1.06		1.08		1.05		1.05		1.05
Ratio of net expenses
to average net assets	.40		.79		1.00		1.00		1.00
Ratio of net investment income
to average net assets	.00	b	.03		1.49		2.66		2.45
Net Assets, end of period ($ x 1,000)	58,781		71,843		82,638		92,762		78,168

a	Amount represents less than $.001 per share.
b	Amount represents less than .01%.

See notes to financial statements.

The Fund 23

NOTES TO FINANCIAL STATEMENTS

NOTE 1—Significant Accounting Policies:

General California Municipal Money Market Fund (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 California state personal income taxes to the extent consistent with the preservation of capital and the maintenance of liquidity.The Dreyfus Corporation (the “Manager” or “Dreyfus”), a wholly-owned subsidiary of The Bank of New York Mellon Corporation (“BNY Mellon”), serves as the fund’s investment adviser.

MBSC Securities Corporation (the “Distributor”), a wholly-owned subsidiary of the Manager, is the distributor of the fund’s shares. The fund is authorized to issue an unlimited number of $.001 par value shares of Beneficial Interest in the following classes of shares: Class A and Class B. Class A and Class B shares are identical except for the services offered to and the expenses borne by each class, the allocation of certain transfer agency costs and certain voting rights. Class B shares are subject to a Distribution Plan adopted pursuant to Rule 12b-1 under the Act and Class A and Class B shares are subject to a Shareholder Services Plan. In addition, Class B shares are charged directly for sub-accounting services provided by Service Agents (a securities dealer, financial institution or other industry professional) at an annual rate of .05% of the value of the average daily net assets of Class B s hares. During the period ended November 30, 2010, sub-accounting service fees amounted to $31,917 for Class B shares and are included in Shareholder servicing costs in the Statement of Operations. Income, expenses (other than expenses attributable to a specific class), and realized and unrealized gains or losses on investments are allocated to each class of shares based on its relative net assets.

It is the fund’s policy to maintain a continuous net asset value per share of $1.00; the fund has adopted certain investment, portfolio valuation and dividend and distribution policies to enable it to do so.There is no assurance, however, that the fund will be able to maintain a stable net asset value per share of $1.00.

24

The Financial Accounting Standards Board (“FASB”) Accounting Standards Codification (“ASC”) is the exclusive reference of authoritative U.S. generally accepted accounting principles (“GAAP”) recognized by the FASB to be applied by nongovernmental entities. Rules and interpretive releases of the Securities and Exchange Commission (“SEC”) under authority of federal laws are also sources of authoritative GAAP for SEC registrants. The fund’s financial statements are prepared in accordance with GAAP, which may require the use of management estimates and assumptions.Actual results could differ from those estimates.

The fund enters into contracts that contain a variety of indemnifications. The fund’s maximum exposure under these arrangements is unknown.The fund does not anticipate recognizing any loss related to these arrangements.

(a) Portfolio valuation: Investments in securities are valued at amortized cost in accordance with Rule 2a-7 of the Act, which has been determined by the Board of Trustees to represent the fair value of the fund’s investments.

The fair value of a financial instrument is the amount that would be received to sell an asset or paid to transfer a liability in an orderly transaction between market participants at the measurement date (i.e. the exit price). GAAP establishes a fair value hierarchy that prioritizes the inputs of valuation techniques used to measure fair value.This hierarchy gives the highest priority to unadjusted quoted prices in active markets for identical assets or liabilities (Level 1 measurements) and the lowest priority to unobservable inputs (Level 3 measurements).

Additionally, GAAP provides guidance on determining whether the volume and activity in a market has decreased significantly and whether such a decrease in activity results in transactions that are not orderly. GAAP requires enhanced disclosures around valuation inputs and techniques used during annual and interim periods.

The Fund 25

NOTES TO FINANCIAL STATEMENTS (continued)

Various inputs are used in determining the value of the fund’s investments relating to fair value measurements.These inputs are summarized in the three broad levels listed below:

Level 1—unadjusted quoted prices in active markets for identical investments.

Level 2—other significant observable inputs (including quoted prices for similar investments, interest rates, prepayment speeds, credit risk, etc.).

Level 3—significant unobservable inputs (including the fund’s own assumptions in determining the fair value of investments).

The inputs or methodology used for valuing securities are not necessarily an indication of the risk associated with investing in those securities. For example, money market securities are valued using amortized cost, in accordance with rules under the Act. Generally, amortized cost approximates the current fair value of a security, but since the value is not obtained from a quoted price in an active market, such securities are reflected as Level 2.

The following is a summary of the inputs used as of November 30, 2010 in valuing the fund’s investments:

	Short-Term
Valuation Inputs	Investments ($)†
Level 1—Unadjusted Quoted Prices	—
Level 2—Other Significant Observable Inputs	499,396,416
Level 3—Significant Unobservable Inputs	—
Total	499,396,416

† See Statement of Investments for additional detailed categorizations.

(b) Securities transactions and investment income: Securities transactions are recorded on a trade date basis. Interest income, adjusted for accretion of discount and amortization of premium on investments, is earned from settlement date and is recognized on the accrual basis. Realized gains and losses from securities transactions are recorded on the identified cost basis. Cost of investments represents amortized cost.

26

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 gains, if any, 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 gains can be offset by capital loss carryovers, it is the policy of the fund not to distribute such gains.

(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.

As of and during the period ended November 30, 2010, the fund did not have any liabilities for any uncertain tax positions.The fund recognizes interest and penalties, if any, related to uncertain tax positions as income tax expense in the Statement of Operations. During the period, the fund did not incur any interest or penalties.

Each of the tax years in the four-year period ended November 30, 2010 remains subject to examination by the Internal Revenue Service and state taxing authorities.

At November 30, 2010, the components of accumulated earnings on a tax basis were substantially the same as for financial reporting purposes.

The Fund 27

NOTES TO FINANCIAL STATEMENTS (continued)

The tax character of distributions paid to shareholders during the fiscal periods ended November 30, 2010 and November 30, 2009 were as follows: tax exempt income $707 and $2,023,859, ordinary income $0 and $12,873 and long-term capital gains $0 and $41,893, respectively.

At November 30, 2010, 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).

NOTE 2—Management Fee and Other Transactions With Affiliates:

(a) Pursuant to a management agreement (“Agreement”) with the Manager, the management fee is computed at the annual rate of .50% of the value of the fund’s average daily net assets and is payable monthly. The Agreement provides that if in any full fiscal year the aggregate expenses, exclusive of taxes, brokerage fees, interest on borrowings and extraordinary expenses, exceed 1 ¹ / ₂% of the value of the fund’s average daily net assets, the fund may deduct from payments to be made to the Manager, or the Manager will bear such excess expense. During the period ended November 30, 2010, there was no expense reimbursement pursuant to the Ag reement.

The Manager has undertaken to reimburse expenses in the event that current yields drop below a certain level. Such expense limitations may fluctuate daily, are voluntary and not contractual and may be terminated at any time. The reduction in expenses, pursuant to the undertaking amounted to $931,887 for Class A and $380,318 for Class B shares during the period ended November 30, 2010.

(b) Under the Distribution Plan with respect to Class B (“Distribution Plan”), adopted pursuant to Rule 12b-1 under the Act, Class B shares bear directly the cost of preparing, printing and distributing prospectuses and statements of additional information and of implementing and operating the Distribution Plan, such aggregate amount not to exceed in any fiscal year of the fund, the greater of $100,000 or .005% of the average daily net assets of Class B shares. In addition, Class B

28

shares reimburse the Distributor for payments made to third parties for distributing Class B shares at an annual rate not to exceed .20% of the value of the average daily net assets of Class B shares. During the period ended November 30, 2010, Class B shares were charged $129,451 pursuant to the Distribution Plan.

(c) Under the Shareholder Services Plan with respect to Class A (“Class A Shareholder Services Plan”),Class A shares reimburse the Distributor an amount not to exceed an annual rate of .25% of the value of the average daily net assets of Class A shares 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 Class A shares and providing reports and other information, and services related to the maintenance of shareholder accounts. During the period ended November 30, 2010, Class A shares were charged $137,103 pursuant to the Class A Shareholder Services Plan.

Under the Shareholder Services Plan with respect to Class B (“Class B Shareholder Services Plan”), Class B shares pay the Distributor at an annual rate of .25% of the value of the average daily net assets of Class B shares for servicing shareholder accounts.The services provided may include personal services relating to shareholder accounts, such as answering shareholder inquiries regarding Class B shares and providing reports and other information, and services related to the maintenance of shareholder accounts. The Distributor may make payments to Service Agents in respect of their services.The Distributor determines the amounts to be paid to Service Agents.

The Manager had undertaken from December 1, 2009 through November 30, 2010 to reduce the expenses of Class B shares, if the aggregate expenses of Class B shares, exclusive of taxes, brokerage fees, interest on borrowings and extraordinary expenses, exceeded an annual rate of 1% of the value of the average daily net assets of Class B shares. Such expense limitations are voluntary, temporary and may

The Fund 29

NOTES TO FINANCIAL STATEMENTS (continued)

be revised or terminated at any time. During the period ended November 30, 2010, Class B shares were charged $159,586 pursuant to the Class B Shareholder Services Plan, of which $36,873 was reimbursed by the Manager.

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 November 30, 2010, the fund was charged $52,371 pursuant to the transfer agency agreement, which is included in Shareholder servicing costs in the Statement of Operations.

The fund has arrangements with the custodian and cash management bank whereby the fund may receive earnings credits when positive cash balances are maintained, which are used to offset custody and cash management fees. For financial reporting purposes, the fund includes net earnings credits as an expense offset in the Statement of Operations.

The fund compensates The Bank of New York Mellon, a subsidiary of BNY Mellon and an affiliate of Dreyfus, under a cash management agreement for performing cash management services related to fund subscriptions and redemptions. During the period ended November 30, 2010, the fund was charged $5,283 pursuant to the cash management agreement, which is included in Shareholder servicing costs in the Statement of Operations. These fees were partially offset by earnings credits of $311.

The fund also compensates The Bank of New York Mellon under a custody agreement for providing custodial services for the fund. During the period ended November 30, 2010, the fund was charged $64,601 pursuant to the custody agreement.

30

During the period ended November 30, 2010, the fund was charged $6,399 for services performed by the Chief Compliance Officer.

The components of “Due to The Dreyfus Corporation and affiliates” in the Statement of Assets and Liabilities consist of: management fees $206,557, Rule 12b-1 distribution plan fees $10,104, shareholder services plan fees $15,157, custodian fees $23,772, chief compliance officer fees $1,152 and transfer agency per account fees $12,816, which are offset against an expense reimbursement currently in effect in the amount of $108,435.

(d) Each Board member also serves as a Board member of other funds within the Dreyfus complex. Annual retainer fees and attendance fees are allocated to each fund based on net assets.

NOTE 3—Securities Transactions:

The fund is permitted to purchase or sell securities from or to certain affiliated funds under specified conditions outlined in procedures adopted by the Board of Trustees.The procedures have been designed to ensure that any purchase or sale of securities by the fund from or to another fund or portfolio that are, or could be, considered an affiliate by virtue of having a common investment adviser (or affiliated investment adviser), common Trustee and/or common officers, complies with Rule 17a-7 of the Act. During the period ended November 30, 2010, the fund engaged in purchases and sales of securities pursuant to Rule 17a-7 of the Act amounting to $266,264,000 and $197,925,000, respectively.

The Fund 31

REPORT OF INDEPENDENT REGISTERED

PUBLIC ACCOUNTING FIRM

Shareholders and Board of Trustees

General California Municipal Money Market Fund

We have audited the accompanying statement of assets and liabilities of General California Municipal Money Market Fund, including the statement of investments, as of November 30, 2010, 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 the standards of the Public Company Accounting Oversight Board (United States).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.We were not engaged to perform an audit of the Fund’s internal control over financial reporting. Our audits included consideration of internal control over financial reporting as a basis for designing audit procedures that are appropriate in the circumstances, but not for the purpose of expressing an opinion on the effectiveness of the Fund’s internal control over financial reporting. Accordingly, we express no such opinion.An audit also includes examining, on a test basis, evidence supporting the amounts and disclosures in the financial statements and financial highlights, assessing the accounting p rinciples used and significant estimates made by management, and evaluating the overall financial statement presentation. Our procedures included confirmation of securities owned as of November 30, 2010 by correspondence with the custodian and others. 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 Money Market Fund at November 30, 2010, 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 U.S. generally accepted accounting principles.

New York, New York
January 25, 2011

32

IMPORTANT TAX INFORMATION (Unaudited)

In accordance with federal tax law, the fund hereby designates all the dividends paid from investment income-net during the fiscal year ended November 30, 2010 as “exempt-interest dividends” (not subject to regular federal and, for individuals who are California residents, California personal income taxes).Where required by federal tax law rules, shareholders will receive notification of their portion of the fund’s exempt-interest dividends paid for the 2010 calendar year on Form 1099-INT, which will be mailed in early 2011.

The Fund 33

INFORMATION ABOUT THE REVIEW AND APPROVAL

OF THE FUND’S MANAGEMENT AGREEMENT (Unaudited)

At a meeting of the Board of Trustees held on July 20, 2010, the Board considered the re-approval for an annual period of the fund’s Management Agreement, pursuant to which the Manager provides the fund with investment advisory and administrative services. The Board members, none of whom are “interested persons” (as defined in the Investment Company Act of 1940, as amended) of the fund, were assisted in their review by independent legal counsel and met with counsel in executive session separate from representatives of the Manager.

Analysis of Nature, Extent and Quality of Services Provided to the Fund. The Board members considered information previously provided to them in a presentation from representatives of the Manager regarding services provided to the fund and other funds in the Dreyfus fund complex, and representatives of the Manager confirmed that there had been no material changes in this information.The Board also discussed the nature, extent and quality of the services provided to the fund by the Manager pursuant to the Management Agreement. The Manager’s representatives reviewed the fund’s distribution of accounts and the relationships the Manager has with various intermediaries and the different needs of each.The Board noted that the fund’s shares are sold primarily through institutional channels and often serve as a “sweep veh icle” for use by third party broker-dealers for their cus-tomers.The Manager’s representatives noted the distribution channels for the fund as well as the diversity of distribution among the funds in the Dreyfus fund complex, and the Manager’s corresponding need for broad, deep, and diverse resources to be able to provide ongoing shareholder services in each distribution channel, including those of the fund. The Manager provided the number of shareholder accounts in the fund, as well as the fund’s asset size.

The Board members also considered the Manager’s research and portfolio management capabilities and that the Manager also provides oversight of day-to-day fund operations, including fund accounting and administration and assistance in meeting legal and regulatory requirements.The Board members also considered the Manager’s extensive administrative, accounting and compliance infrastructure.

34

Comparative Analysis of the Fund’s Performance, Management Fee and Expense Ratio.The Board members reviewed the fund’s performance and comparisons to a group of comparable funds (the “Performance Group”) and to a broader group of funds (the “Performance Universe”), selected and provided by Lipper, Inc., an independent provider of investment company data.The Board was provided with a description of the methodology Lipper used to select the Performance Group and Performance Universe, as well as the Expense Group and Expense Universe (discussed below).The Board members discussed the results of the comparisons for various periods ended May 31, 2010, and noted that the fund’s total return performance was above the Performance Group and Performance Universe medians for each reported time period except for the one-year period ended May 31, 2010, when it was equal to the medians.

The Board members also discussed the fund’s contractual and actual management fee and total expense ratio as compared to a comparable group of funds (the “Expense Group”) that was composed of the same funds included in the Performance Group and a broader group of funds (the “Expense Universe”), each selected and provided by Lipper. The Board noted that the fund’s contractual management fee was slightly above the Expense Group median and that the fund’s actual management fee and total expense ratio were above the Expense Group and Expense Universe medians.

Representatives of the Manager reviewed with the Board members the fees paid to the Manager or its affiliates by mutual funds managed by the Manager or its affiliates with similar investment objectives, policies and strategies, and included in the same Lipper category, as the fund (the “Similar Funds”).The Board members considered the relevance of the fee information provided for the Similar Funds to evaluate the appropriateness and reasonableness of the fund’s management fee. Representatives of the Manager informed the Board members that there were no separate accounts or wrap fee accounts managed by the Manager or its affiliates with similar investment objectives, policies and strategies as the fund.

The Fund 35

INFORMATION ABOUT THE REVIEW AND APPROVAL OF THE

FUND’S MANAGEMENT AGREEMENT (Unaudited) (continued)

Analysis of Profitability and Economies of Scale.The Manager’s representatives reviewed the dollar amount of expenses allocated and profit received by the Manager and the method used to determine such expenses and profit. The Board previously had been provided with information prepared by an independent consulting firm regarding the Manager’s approach to allocating costs to, and determining the profitability of, individual funds and the entire Dreyfus mutual fund complex.The Board members also had been informed that the methodology also had been reviewed by an independent registered public accounting firm which, like the consultant, found the methodology to be reasonable.The consulting firm also analyzed where any economies of scale might emerge in connection with the management of a fund.The Board members evaluated the pro fitability analysis in light of the relevant circumstances for the fund and the extent to which economies of scale would be realized if the fund grows and whether fee levels reflect these economies of scale for the benefit of fund shareholders.The Board members also considered potential benefits to the Manager and its affiliates from acting as investment adviser to the fund and noted that there were no soft dollar arrangements with respect to trading the fund’s portfolio.

It was noted that the Board members should consider the Manager’s profitability with respect to the fund as part of their evaluation of whether the fees under the Management Agreement bear a reasonable relationship to the mix of services provided by the Manager, including the nature, extent and quality of such services and that a discussion of economies of scale is predicated on increasing assets and that, if a fund’s assets had been decreasing, the possibility that the Manager may have realized any economies of scale would be less. It was also noted that the profitability percentage for managing the fund was within the range determined by appropriate court cases to be reasonable given the services rendered and generally superior service levels provided by the Manager.

36

At the conclusion of these discussions, the Board agreed that it had been furnished with sufficient information to make an informed business decision with respect to continuation of the fund’s Management Agreement. Based on the discussions and considerations as described above, the Board made the following conclusions and determinations.

• The Board concluded that the nature, extent and quality of the services provided by the Manager to the fund are adequate and appropriate.
• The Board was satisfied with the fund’s relative performance.
• The Board concluded that the fee paid to the Manager by the fund was reasonable in light of the services provided, comparative perfor- mance and expense and management fee information, costs of the services provided, and profits to be realized and benefits derived or to be derived by the Manager from its relationship with the fund.
• The Board determined that the economies of scale which may accrue to the Manager and its affiliates in connection with the management of the fund had been adequately considered by the Manager in con- nection with the management fee rate charged to the fund, and that, to the extent in the future it were to be determined that material economies of scale had not been shared with the fund, the Board would seek to have those economies of scale shared with the fund.

The Board members considered these conclusions and determinations, along with the information received on a routine and regular basis throughout the year, and, without any one factor being dispositive, the Board determined that re-approval of the fund’s Management Agreement was in the best interests of the fund and its shareholders.

The Fund 37

BOARD MEMBERS INFORMATION (Unaudited)

38

The Fund 39

OFFICERS OF THE FUND (Unaudited)

BRADLEY J. SKAPYAK, President since
January 2010.

Chief Operating Officer and a director of the Manager since June 2009. From April 2003 to June 2009, Mr. Skapyak was the head of the Investment Accounting and Support Department of the Manager. He is an officer of 76 investment companies (comprised of 170 portfolios) managed by the Manager. He is 52 years old and has been an employee of the Manager since February 1988.

PHILLIP N. MAISANO, Executive Vice
President since July 2007.

Chief Investment Officer,Vice Chair and a director of the Manager, and an officer of 76 investment companies (comprised of 170 portfolios) managed by the Manager. Mr. Maisano also is an officer and/or Board member of certain other investment management subsidiaries of The Bank of New York Mellon Corporation, each of which is an affiliate of the Manager. He is 63 years old and has been an employee of the Manager since November 2006. Prior to joining the Manager, Mr. Maisano served as Chairman and Chief Executive Officer of EACM Advisors, an affiliate of the Manager, since August 2004.

MICHAEL A. ROSENBERG, Vice President
and Secretary since August 2005.

Assistant General Counsel of BNY Mellon, and an officer of 77 investment companies (comprised of 195 portfolios) managed by the Manager. He is 50 years old and has been an employee of the Manager since October 1991.

KIESHA ASTWOOD, Vice President and
Assistant Secretary since January 2010.

Counsel of BNY Mellon, and an officer of 77 investment companies (comprised of 195 portfolios) managed by the Manager. She is 37 years old and has been an employee of the Manager since July 1995.

JAMES BITETTO, Vice President and Assistant Secretary since August 2005.

Senior Counsel of BNY Mellon and Secretary of the Manager, and an officer of 77 investment companies (comprised of 195 portfolios) managed by the Manager. He is 44 years old and has been an employee of the Manager since December 1996.

JONI LACKS CHARATAN, Vice President
and Assistant Secretary since
August 2005.

Senior Counsel of BNY Mellon, and an officer of 77 investment companies (comprised of 195 portfolios) managed by the Manager. She is 55 years old and has been an employee of the Manager since October 1988.

JOSEPH M. CHIOFFI, Vice President and
Assistant Secretary since August 2005.

Senior Counsel of BNY Mellon, and an officer of 77 investment companies (comprised of 195 portfolios) managed by the Manager. He is 49 years old and has been an employee of the Manager since June 2000.

KATHLEEN DENICHOLAS, Vice President
and Assistant Secretary since
January 2010.

Senior Counsel of BNY Mellon, and an officer of 77 investment companies (comprised of 195 portfolios) managed by the Manager. She is 36 years old and has been an employee of the Manager since February 2001.

JANETTE E. FARRAGHER, Vice President
and Assistant Secretary since
August 2005.

Assistant General Counsel of BNY Mellon, and an officer of 77 investment companies (comprised of 195 portfolios) managed by the Manager. She is 47 years old and has been an employee of the Manager since February 1984.

40

JOHN B. HAMMALIAN, Vice President and
Assistant Secretary since August 2005.

Managing Counsel of BNY Mellon, and an officer of 77 investment companies (comprised of 195 portfolios) managed by the Manager. He is 47 years old and has been an employee of the Manager since February 1991.

M. CRISTINA MEISER, Vice President and
Assistant Secretary since January 2010.

Senior Counsel of BNY Mellon, and an officer of 77 investment companies (comprised of 195 portfolios) managed by the Manager. She is 40 years old and has been an employee of the Manager since August 2001.

ROBERT R. MULLERY, Vice President and
Assistant Secretary since August 2005.

Managing Counsel of BNY Mellon, and an officer of 77 investment companies (comprised of 195 portfolios) managed by the Manager. He is 58 years old and has been an employee of the Manager since May 1986.

JEFF PRUSNOFSKY, Vice President and
Assistant Secretary since August 2005.

Managing Counsel of BNY Mellon, and an officer of 77 investment companies (comprised of 195 portfolios) managed by the Manager. He is 45 years old and has been an employee of the Manager since October 1990.

JAMES WINDELS, Treasurer since
November 2001.

Director – Mutual Fund Accounting of the Manager, and an officer of 77 investment companies (comprised of 195 portfolios) managed by the Manager. He is 52 years old and has been an employee of the Manager since April 1985.

RICHARD CASSARO, Assistant Treasurer
since January 2008.

Senior Accounting Manager – Money Market and Municipal Bond Funds of the Manager, and an officer of 77 investment companies (comprised of 195 portfolios) managed by the Manager. He is 51 years old and has been an employee of the Manager since September 1982.

GAVIN C. REILLY, Assistant Treasurer
since August 2005.

Tax Manager of the Investment Accounting and Support Department of the Manager, and an officer of 77 investment companies (comprised of 195 portfolios) managed by the Manager. He is 42 years old and has been an employee of the Manager since April 1991.

ROBERT ROBOL, Assistant Treasurer
since August 2003.

Senior Accounting Manager – Fixed Income Funds of the Manager, and an officer of 77 investment companies (comprised of 195 portfolios) managed by the Manager. He is 46 years old and has been an employee of the Manager since October 1988.

ROBERT SALVIOLO, Assistant Treasurer
since May 2007.

Senior Accounting Manager – Equity Funds the Manager, and an officer of 77 investment companies (comprised of 195 portfolios) managed by the Manager. He is 43 years old and has been an employee of the Manager since June 1989.

The Fund 41

OFFICERS OF THE FUND (Unaudited) (continued)

ROBERT SVAGNA, Assistant Treasurer
since August 2005.

Senior Accounting Manager – Equity Funds of the Manager, and an officer of 77 investment companies (comprised of 195 portfolios) managed by the Manager. He is 43 years old and has been an employee of the Manager since November 1990.

JOSEPH W. CONNOLLY, Chief Compliance
Officer since October 2004.

Chief Compliance Officer of the Manager and The Dreyfus Family of Funds (77 investment companies, comprised of 195 portfolios). From November 2001 through March 2004, Mr. Connolly was first Vice-President, Mutual Fund Servicing for Mellon Global Securities Services. In that capacity, Mr. Connolly was responsible for managing Mellon’s Custody, Fund Accounting and Fund Administration services to third-party mutual fund clients. He is 53 years old and has served in various capacities with the Manager since 1980, including manager of the firm’s Fund Accounting Department from 1997 through October 2001.

NATALIA GRIBAS, Anti-Money Laundering
Compliance Officer since July 2010.

Anti-Money Laundering Compliance Officer of the Distributor, and the Anti-Money Laundering Compliance Officer of 73 investment companies (comprised of 191 portfolios) managed by the Manager. She is 40 years old and has been an employee of the Distributor since September 2008.

42

NOTES

For More Information

Telephone 1-800-645-6561

Mail The Dreyfus Family of Funds, 144 Glenn Curtiss Boulevard, Uniondale, NY 11556-0144 E-mail Send your request to info@dreyfus.com Internet Information can be viewed online or downloaded at: http://www.dreyfus.com

The fund will disclose daily, on www.dreyfus.com, the fund’s complete schedule of holdings as of the end of the previous business day.  The schedule of holdings will remain on the website until the fund files its Form N-Q or Form N-CSR for the period that includes the date of the posted holdings.

The fund files its complete schedule of portfolio holdings with the Securities and Exchange Commission (“SEC”) for the first and third quarters of each fiscal year on Form N-Q. The fund's Forms N-Q are available on the SEC’s website at http://www.sec.gov and may be reviewed and copied at the SEC’s Public Reference Room in Washington, DC. Information on the operation of the Public Reference Room may be obtained by calling 1-800-SEC-0330.

Information regarding how the fund voted proxies relating to portfolio securities for the most recent 12-month period ended June 30 is available on the SEC’s website at http://www.sec.gov and without charge, upon request, by calling 1-800-645-6561.

Item 2.                        Code of Ethics.

The Registrant has adopted a code of ethics that applies to the Registrant's principal executive officer, principal financial officer, principal accounting officer or controller, or persons performing similar functions.  There have been no amendments to, or waivers in connection with, the Code of Ethics during the period covered by this Report.

Item 3.                        Audit Committee Financial Expert.

The Registrant's Board has determined that Joseph S. DiMartino, a member of the Audit Committee of the Board, is an audit committee financial expert as defined by the Securities and Exchange Commission (the "SEC").   Mr. DiMartino is "independent" as defined by the SEC for purposes of audit committee financial expert determinations.

Item 4.                        Principal Accountant Fees and Services.

(a)  Audit Fees.  The aggregate fees billed for each of the last two fiscal years (the "Reporting Periods") for professional services rendered by the Registrant's principal accountant (the "Auditor") for the audit of the Registrant's annual financial statements or services that are normally provided by the Auditor in connection with the statutory and regulatory filings or engagements for the Reporting Periods, were $34,322 in 2009 and $34,322 in 2010.

(b)  Audit-Related Fees. The aggregate fees billed in the Reporting Periods for assurance and related services by the Auditor that are reasonably related to the performance of the audit of the Registrant's financial statements and are not reported under paragraph (a) of this Item 4 were $5,276 in 2009 and $5,382 in 2010. These services consisted of one or more of the following: (i) agreed upon procedures related to compliance with Internal Revenue Code section 817(h), (ii) security counts required by Rule 17f-2 under the Investment Company Act of 1940, as amended, (iii) advisory services as to the accounting or disclosure treatment of Registrant transactions or events and (iv) advisory services to the accounting or disclosure treatment of the actual or potential impact to the Registrant of final or proposed rules, standards or interpretations by the Securities and Exchange Commission, the Financial Accounting Standards Boards or other regulatory or standard-setting bodies.

The aggregate fees billed in the Reporting Periods for non-audit assurance and related services by the Auditor to the Registrant's investment adviser (not including any sub-investment adviser whose role is primarily portfolio management and is subcontracted with or overseen by another investment adviser), and any entity controlling, controlled by or under common control with the investment adviser that provides ongoing services to the Registrant ("Service Affiliates"), that were reasonably related to the performance of the annual audit of the Service Affiliate, which required pre-approval by the Audit Committee were $0 in 2009 and $0 in 2010.

(c)  Tax Fees.  The aggregate fees billed in the Reporting Periods for professional services rendered by the Auditor for tax compliance, tax advice, and tax planning ("Tax Services") were $3,576 in 2009 and $3,496  in 2010. These services consisted of: (i) review or preparation of U.S. federal, state, local and excise tax returns; (ii) U.S. federal, state and local tax planning, advice and assistance regarding statutory, regulatory or administrative developments; (iii) tax advice regarding tax qualification matters and/or treatment of various financial instruments held or proposed to be acquired or held. The aggregate fees billed in the Reporting Periods for Tax Services by the Auditor to Service Affiliates, which r equired pre-approval by the Audit Committee were $0 in 2009 and $0 in 2010.

(d)  All Other Fees.  The aggregate fees billed in the Reporting Periods for products and services provided by the Auditor, other than the services reported in paragraphs (a) through (c) of this Item, were $304 in 2009 and $167 in 2010.  These services consisted of a review of the Registrant's anti-money laundering program.

The aggregate fees billed in the Reporting Periods for Non-Audit Services by the Auditor to Service Affiliates, other than the services reported in paragraphs (b) through (c) of this Item, which required pre-approval by the Audit Committee, were  $0 in 2009 and $0 in 2010. 

(e)(1) Audit Committee Pre-Approval Policies and Procedures. The Registrant's Audit Committee has established policies and procedures (the "Policy") for pre-approval (within specified fee limits) of the Auditor's engagements for non-audit services to the Registrant and Service Affiliates without specific case-by-case consideration. The pre-approved services in the Policy can include pre-approved audit services, pre-approved audit-related services, pre-approved tax services and pre-approved all other services.  Pre-approval considerations include whether the proposed services are compatible with maintaining the Auditor's independence.  Pre-approvals pursuant to the Policy are considered annually.

(e)(2) Note: None of the services described in paragraphs (b) through (d) of this Item 4 were approved by the Audit Committee pursuant to paragraph (c)(7)(i)(C) of Rule 2-01 of Regulation S-X.

(f) None of the hours expended on the principal accountant's engagement to audit the registrant's financial statements for the most recent fiscal year were attributed to work performed by persons other than the principal account's full-time, permanent employees.

Non-Audit Fees. The aggregate non-audit fees billed by the Auditor for services rendered to the Registrant, and rendered to Service Affiliates, for the Reporting Periods were $26,086,988 in 2009 and $33,851,490 in 2010.

Auditor Independence. The Registrant's Audit Committee has considered whether the provision of non-audit services that were rendered to Service Affiliates, which were not pre-approved (not requiring pre-approval), is compatible with maintaining the Auditor's independence.

Item 5.                        Audit Committee of Listed Registrants.

                        Not applicable.  [CLOSED-END FUNDS ONLY]

Item 6.                        Investments.

(a)Not applicable.

Item 7.            Disclosure of Proxy Voting Policies and Procedures for Closed-End Management            Investment Companies.

                        Not applicable.  [CLOSED-END FUNDS ONLY]

Item 8.                        Portfolio Managers of Closed-End Management Investment Companies.

Not applicable.  [CLOSED-END FUNDS ONLY, beginning with reports for periods ended on and after December 31, 2005]

Item 9.                        Purchases of Equity Securities by Closed-End Management Investment Companies and             Affiliated Purchasers.

Not applicable.  [CLOSED-END FUNDS ONLY]

Item 10.          Submission of Matters to a Vote of Security Holders.

There have been no material changes to the procedures applicable to Item 10.

Item 11.          Controls and Procedures.

(a)        The Registrant's principal executive and principal financial officers have concluded, based on their evaluation of the Registrant's disclosure controls and procedures as of a date within 90 days of the filing date of this report, that the Registrant's disclosure controls and procedures are reasonably designed to ensure that information required to be disclosed by the Registrant on Form N-CSR is recorded, processed, summarized and reported within the required time periods and that information required to be disclosed by the Registrant in the reports that it files or submits on Form N-CSR is accumulated and communicated to the Registrant's management, including its principal executive and principal financial officers, as appropriate to allow timely decisions regarding required disclosure.

(b)        There were no changes to the Registrant's internal control over financial reporting that occurred during the second fiscal quarter of the period covered by this report that have materially affected, or are reasonably likely to materially affect, the Registrant's internal control over financial reporting. 

Item 12.          Exhibits.

(a)(1)   Code of ethics referred to in Item 2.

(a)(2)   Certifications of principal executive and principal financial officers as required by Rule 30a-2(a) under the Investment Company Act of 1940.

(a)(3)   Not applicable.

(b)        Certification of principal executive and principal financial officers as required by Rule 30a-2(b) under the Investment Company Act of 1940.

SIGNATURES

Pursuant to the requirements of the Securities Exchange Act of 1934 and the Investment Company Act of 1940, the Registrant has duly caused this Report to be signed on its behalf by the undersigned, thereunto duly authorized.

General California Municipal Money Market Fund

By:       /s/ Bradley J. Skapyak

            Bradley J. Skapyak,

            President

Date:    January 24, 2011

Pursuant to the requirements of the Securities Exchange Act of 1934 and the Investment Company Act of 1940, this Report has been signed below by the following persons on behalf of the Registrant and in the capacities and on the dates indicated.

By:       /s/ BradleyJ. Skapyak

            Bradley J. Skapyak,

            President

Date:    January 24, 2011

By:       /s/ James Windels

            James Windels,

            Treasurer

Date:    January 24, 2011

EXHIBIT INDEX

(a)(1)   Code of ethics referred to in Item 2.

(a)(2)   Certifications of principal executive and principal financial officers as required by Rule 30a-2(a) under the Investment Company Act of 1940.  (EX-99.CERT)

(b)        Certification of principal executive and principal financial officers as required by Rule 30a-2(b) under the Investment Company Act of 1940.  (EX-99.906CERT)