<PAGE> PAGE 1
000 A000000 05/31/96
000 C000000 0000703153
000 D000000 N
000 E000000 NF
000 F000000 Y
000 G000000 N
000 H000000 N
000 I000000 3.0
000 J000000 U
001 A000000 GENERAL MUNICIPAL MONEY MARKET FUND, INC.
001 B000000 811-3481
001 C000000 2129226785
002 A000000 200 PARK AVENUE
002 B000000 NEW YORK
002 C000000 NY
002 D010000 10166
003 000000 N
004 000000 N
005 000000 N
006 000000 N
007 A000000 N
007 B000000 0
018 000000 Y
019 A000000 Y
019 B000000 160
019 C000000 DREYFUSFAM
020 C000001 0
020 C000002 0
020 C000003 0
020 C000004 0
020 C000005 0
020 C000006 0
020 C000007 0
020 C000008 0
020 C000009 0
020 C000010 0
021 000000 0
022 A000001 CITICORP SECURITIES INC.
022 B000001 13-2771536
022 C000001 67902
022 D000001 88900
022 A000002 BT SECURITIES CORPORATION
022 B000002 13-3131014
022 C000002 78650
022 D000002 48400
022 A000003 SMITH BARNEY INC.
022 B000003 13-1912900
022 C000003 58450
022 D000003 39350
022 A000004 LEHMAN BROTHERS INC.
022 B000004 13-2518466
<PAGE> PAGE 2
022 C000004 64300
022 D000004 17000
022 A000005 MERRILL LYNCH, PIERCE, FENNER & SMITH INC.
022 B000005 13-5674085
022 C000005 39059
022 D000005 38815
022 A000006 PAINEWEBBER INCORPORATED
022 B000006 13-2638166
022 C000006 48260
022 D000006 27400
022 A000007 GOLDMAN, SACHS & CO.
022 B000007 13-5108880
022 C000007 70510
022 D000007 0
022 A000008 CHEMICAL SECURITIES, INC.
022 B000008 13-3379014
022 C000008 29600
022 D000008 31600
022 A000009 MORGAN STANLEY & CO. INCORPORATED
022 B000009 13-2655998
022 C000009 24300
022 D000009 24300
022 A000010 FIRST CHICAGO INVESTMENT SECURITIES, INC.
022 B000010 36-0899825
022 C000010 20600
022 D000010 27300
023 C000000 552170
023 D000000 374670
026 A000000 N
026 B000000 N
026 C000000 N
026 D000000 N
026 E000000 N
026 F000000 N
026 G010000 N
026 G020000 N
026 H000000 N
028 A010000 222760
028 A020000 860
028 A030000 0
028 A040000 232507
028 B010000 238222
028 B020000 667
028 B030000 0
028 B040000 237986
028 C010000 232659
028 C020000 586
028 C030000 0
028 C040000 215941
028 D010000 222345
028 D020000 663
<PAGE> PAGE 3
028 D030000 0
028 D040000 218617
028 E010000 192098
028 E020000 679
028 E030000 0
028 E040000 215745
028 F010000 195857
028 F020000 777
028 F030000 0
028 F040000 159034
028 G010000 1303941
028 G020000 4232
028 G030000 0
028 G040000 1279830
028 H000000 0
042 A000000 0
042 B000000 0
042 C000000 100
042 D000000 0
042 E000000 0
042 F000000 0
042 G000000 0
042 H000000 0
043 000000 11
044 000000 0
062 A000000 Y
062 B000000 0.0
062 C000000 0.0
062 D000000 0.0
062 E000000 100.4
062 F000000 0.0
062 G000000 0.0
062 H000000 0.0
062 I000000 0.0
062 J000000 0.0
062 K000000 0.0
062 L000000 0.0
062 M000000 0.0
062 N000000 0.0
062 O000000 0.0
062 P000000 0.0
062 Q000000 0.0
062 R000000 0.0
063 A000000 32
063 B000000 0.0
064 A000000 Y
064 B000000 N
066 A000000 N
067 000000 N
068 A000000 N
068 B000000 N
<PAGE> PAGE 4
069 000000 N
071 A000000 0
071 B000000 0
071 C000000 0
071 D000000 0
072 A000000 6
072 B000000 5564
072 C000000 0
072 D000000 0
072 E000000 0
072 F000000 761
072 G000000 0
072 H000000 0
072 I000000 94
072 J000000 16
072 K000000 0
072 L000000 6
072 M000000 19
072 N000000 70
072 O000000 0
072 P000000 0
072 Q000000 0
072 R000000 11
072 S000000 7
072 T000000 11
072 U000000 0
072 V000000 0
072 W000000 6
072 X000000 1001
072 Y000000 14
072 Z000000 4577
072AA000000 6
072BB000000 2
072CC010000 0
072CC020000 0
072DD010000 4429
072DD020000 148
072EE000000 0
073 A010000 0.0151
073 A020000 0.0135
073 B000000 0.0000
073 C000000 0.0000
074 A000000 0
074 B000000 0
074 C000000 327102
074 D000000 0
074 E000000 0
074 F000000 0
074 G000000 0
074 H000000 0
074 I000000 0
<PAGE> PAGE 5
074 J000000 0
074 K000000 0
074 L000000 2260
074 M000000 103
074 N000000 329465
074 O000000 0
074 P000000 133
074 Q000000 0
074 R010000 0
074 R020000 0
074 R030000 0
074 R040000 3582
074 S000000 0
074 T000000 325750
074 U010000 310662
074 U020000 15378
074 V010000 1.00
074 V020000 1.00
074 W000000 0.9990
074 X000000 3597
074 Y000000 0
075 A000000 293373
075 B000000 0
076 000000 0.00
077 A000000 N
SIGNATURE MARIE E. CONNOLLY
TITLE PRESIDENT/TREASURER
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000703153
<NAME> GENERAL MUNICIPAL MONEY MARKET FUND, INC.
<SERIES>
<NUMBER> 001
<NAME> CLASS A
<MULTIPLIER> 1000
<S> <C>
<PERIOD-TYPE> 6-MOS
<FISCAL-YEAR-END> NOV-30-1996
<PERIOD-END> MAY-31-1996
<INVESTMENTS-AT-COST> 327102
<INVESTMENTS-AT-VALUE> 327102
<RECEIVABLES> 2260
<ASSETS-OTHER> 103
<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 329465
<PAYABLE-FOR-SECURITIES> 0
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 3715
<TOTAL-LIABILITIES> 3715
<SENIOR-EQUITY> 0
<PAID-IN-CAPITAL-COMMON> 325763
<SHARES-COMMON-STOCK> 310662
<SHARES-COMMON-PRIOR> 294673
<ACCUMULATED-NII-CURRENT> 0
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> (13)
<OVERDISTRIBUTION-GAINS> 0
<ACCUM-APPREC-OR-DEPREC> 0
<NET-ASSETS> 310372
<DIVIDEND-INCOME> 0
<INTEREST-INCOME> 5564
<OTHER-INCOME> 0
<EXPENSES-NET> 987
<NET-INVESTMENT-INCOME> 4577
<REALIZED-GAINS-CURRENT> 4
<APPREC-INCREASE-CURRENT> 0
<NET-CHANGE-FROM-OPS> 4581
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> (4429)
<DISTRIBUTIONS-OF-GAINS> 0
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 1263443
<NUMBER-OF-SHARES-REDEEMED> (1251604)
<SHARES-REINVESTED> 4150
<NET-CHANGE-IN-ASSETS> 28347
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> (294)
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 0
<GROSS-ADVISORY-FEES> 761
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 1001
<AVERAGE-NET-ASSETS> 293373
<PER-SHARE-NAV-BEGIN> 1.00
<PER-SHARE-NII> .015
<PER-SHARE-GAIN-APPREC> 0
<PER-SHARE-DIVIDEND> (.015)
<PER-SHARE-DISTRIBUTIONS> 0
<RETURNS-OF-CAPITAL> 0
<PER-SHARE-NAV-END> 1.00
<EXPENSE-RATIO> .006
<AVG-DEBT-OUTSTANDING> 0
<AVG-DEBT-PER-SHARE> 0
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000703153
<NAME> GENERAL MUNICIPAL MONEY MARKET FUND, INC.
<SERIES>
<NUMBER> 002
<NAME> CLASS B
<MULTIPLIER> 1000
<S> <C>
<PERIOD-TYPE> 6-MOS
<FISCAL-YEAR-END> NOV-30-1996
<PERIOD-END> MAY-31-1996
<INVESTMENTS-AT-COST> 327102
<INVESTMENTS-AT-VALUE> 327102
<RECEIVABLES> 2260
<ASSETS-OTHER> 103
<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 329465
<PAYABLE-FOR-SECURITIES> 0
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 3715
<TOTAL-LIABILITIES> 3715
<SENIOR-EQUITY> 0
<PAID-IN-CAPITAL-COMMON> 325763
<SHARES-COMMON-STOCK> 15378
<SHARES-COMMON-PRIOR> 3024
<ACCUMULATED-NII-CURRENT> 0
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> (13)
<OVERDISTRIBUTION-GAINS> 0
<ACCUM-APPREC-OR-DEPREC> 0
<NET-ASSETS> 15378
<DIVIDEND-INCOME> 0
<INTEREST-INCOME> 5564
<OTHER-INCOME> 0
<EXPENSES-NET> 987
<NET-INVESTMENT-INCOME> 4577
<REALIZED-GAINS-CURRENT> 4
<APPREC-INCREASE-CURRENT> 0
<NET-CHANGE-FROM-OPS> 4581
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> (148)
<DISTRIBUTIONS-OF-GAINS> 0
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 40497
<NUMBER-OF-SHARES-REDEEMED> (28226)
<SHARES-REINVESTED> 82
<NET-CHANGE-IN-ASSETS> 28347
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> (294)
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 0
<GROSS-ADVISORY-FEES> 761
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 1001
<AVERAGE-NET-ASSETS> 11115
<PER-SHARE-NAV-BEGIN> 1.00
<PER-SHARE-NII> .014
<PER-SHARE-GAIN-APPREC> 0
<PER-SHARE-DIVIDEND> (.014)
<PER-SHARE-DISTRIBUTIONS> 0
<RETURNS-OF-CAPITAL> 0
<PER-SHARE-NAV-END> 1.00
<EXPENSE-RATIO> .009
<AVG-DEBT-OUTSTANDING> 0
<AVG-DEBT-PER-SHARE> 0
</TABLE>
