<PAGE> PAGE 1
000 A000000 05/31/98
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 2129226805
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 159
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 121050
022 D000001 107250
022 A000002 LEHMAN BROTHERS INC.
022 B000002 13-2518466
022 C000002 130850
022 D000002 92400
022 A000003 SMITH BARNEY INC.
022 B000003 13-1912900
022 C000003 81260
022 D000003 56100
022 A000004 GOLDMAN, SACHS & CO.
022 B000004 13-5108880
<PAGE> PAGE 2
022 C000004 75150
022 D000004 30200
022 A000005 BT SECURITIES CORPORATION
022 B000005 13-3131014
022 C000005 49002
022 D000005 34400
022 A000006 PIPER JAFFRAY INC.
022 B000006 41-0953246
022 C000006 27200
022 D000006 41206
022 A000007 BEAR, STEARNS & CO. INC.
022 B000007 13-3299429
022 C000007 29000
022 D000007 24000
022 A000008 MORGAN STANLEY & CO. INCORPORATED
022 B000008 13-2655998
022 C000008 3200
022 D000008 37200
022 A000009 CRAIGIE INCORPORATED
022 B000009 54-0294670
022 C000009 28800
022 D000009 0
022 A000010 J.P. MORGAN SECURITIES INC.
022 B000010 13-3224016
022 C000010 25900
022 D000010 0
023 C000000 641297
023 D000000 482835
026 A000000 N
026 B000000 Y
026 C000000 N
026 D000000 Y
026 E000000 N
026 F000000 N
026 G010000 N
026 G020000 N
026 H000000 N
028 A010000 213969
028 A020000 1379
028 A030000 0
028 A040000 234136
028 B010000 261740
028 B020000 1302
028 B030000 0
028 B040000 233874
028 C010000 189052
028 C020000 1068
028 C030000 0
028 C040000 182791
028 D010000 242776
028 D020000 1224
<PAGE> PAGE 3
028 D030000 0
028 D040000 235514
028 E010000 289485
028 E020000 1407
028 E030000 0
028 E040000 314550
028 F010000 230756
028 F020000 1442
028 F030000 0
028 F040000 201213
028 G010000 1427778
028 G020000 7822
028 G030000 0
028 G040000 1402078
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 283
044 000000 0
062 A000000 Y
062 B000000 0.0
062 C000000 0.0
062 D000000 0.0
062 E000000 99.1
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 43
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 10224
072 C000000 0
072 D000000 0
072 E000000 0
072 F000000 1403
072 G000000 0
072 H000000 0
072 I000000 523
072 J000000 24
072 K000000 0
072 L000000 3
072 M000000 17
072 N000000 47
072 O000000 0
072 P000000 0
072 Q000000 0
072 R000000 16
072 S000000 8
072 T000000 283
072 U000000 0
072 V000000 0
072 W000000 6
072 X000000 2330
072 Y000000 129
072 Z000000 8023
072AA000000 0
072BB000000 11
072CC010000 0
072CC020000 0
072DD010000 4236
072DD020000 3787
072EE000000 5
073 A010000 0.0152
073 A020000 0.0134
073 B000000 0.0000
073 C000000 0.0000
074 A000000 1090
074 B000000 0
074 C000000 564424
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 4252
074 M000000 49
074 N000000 569815
074 O000000 0
074 P000000 158
074 Q000000 0
074 R010000 0
074 R020000 0
074 R030000 0
074 R040000 91
074 S000000 0
074 T000000 569566
074 U010000 288984
074 U020000 280877
074 V010000 1.00
074 V020000 1.00
074 W000000 0.9990
074 X000000 2849
074 Y000000 0
075 A000000 279210
075 B000000 0
076 000000 0.00
077 A000000 N
SIGNATURE MICHAEL S. PETRUCELLI
TITLE ASSISTANT 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-30-1998
<PERIOD-END> MAY-31-1998
<INVESTMENTS-AT-COST> 564424
<INVESTMENTS-AT-VALUE> 564424
<RECEIVABLES> 4252
<ASSETS-OTHER> 1139
<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 569815
<PAYABLE-FOR-SECURITIES> 0
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 249
<TOTAL-LIABILITIES> 249
<SENIOR-EQUITY> 0
<PAID-IN-CAPITAL-COMMON> 569580
<SHARES-COMMON-STOCK> 288984
<SHARES-COMMON-PRIOR> 273339
<ACCUMULATED-NII-CURRENT> 0
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> (14)
<OVERDISTRIBUTION-GAINS> 0
<ACCUM-APPREC-OR-DEPREC> 0
<NET-ASSETS> 288692
<DIVIDEND-INCOME> 0
<INTEREST-INCOME> 10224
<OTHER-INCOME> 0
<EXPENSES-NET> 2330
<NET-INVESTMENT-INCOME> 8023
<REALIZED-GAINS-CURRENT> (11)
<APPREC-INCREASE-CURRENT> 0
<NET-CHANGE-FROM-OPS> 8012
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> (4236)
<DISTRIBUTIONS-OF-GAINS> (5)
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 708091
<NUMBER-OF-SHARES-REDEEMED> (696550)
<SHARES-REINVESTED> 4104
<NET-CHANGE-IN-ASSETS> 33500
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> 8
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 0
<GROSS-ADVISORY-FEES> 1403
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 2330
<AVERAGE-NET-ASSETS> 279210
<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-30-1998
<PERIOD-END> MAY-31-1998
<INVESTMENTS-AT-COST> 564424
<INVESTMENTS-AT-VALUE> 564424
<RECEIVABLES> 4252
<ASSETS-OTHER> 1139
<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 569815
<PAYABLE-FOR-SECURITIES> 0
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 249
<TOTAL-LIABILITIES> 249
<SENIOR-EQUITY> 0
<PAID-IN-CAPITAL-COMMON> 569580
<SHARES-COMMON-STOCK> 280877
<SHARES-COMMON-PRIOR> 263001
<ACCUMULATED-NII-CURRENT> 0
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> (14)
<OVERDISTRIBUTION-GAINS> 0
<ACCUM-APPREC-OR-DEPREC> 0
<NET-ASSETS> 280874
<DIVIDEND-INCOME> 0
<INTEREST-INCOME> 10224
<OTHER-INCOME> 0
<EXPENSES-NET> 2330
<NET-INVESTMENT-INCOME> 8023
<REALIZED-GAINS-CURRENT> (11)
<APPREC-INCREASE-CURRENT> 0
<NET-CHANGE-FROM-OPS> 8012
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> (3787)
<DISTRIBUTIONS-OF-GAINS> (5)
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 719687
<NUMBER-OF-SHARES-REDEEMED> (705528)
<SHARES-REINVESTED> 3718
<NET-CHANGE-IN-ASSETS> 33500
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> 8
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 0
<GROSS-ADVISORY-FEES> 1403
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 2330
<AVERAGE-NET-ASSETS> 283321
<PER-SHARE-NAV-BEGIN> 1.00
<PER-SHARE-NII> .013
<PER-SHARE-GAIN-APPREC> 0
<PER-SHARE-DIVIDEND> (.013)
<PER-SHARE-DISTRIBUTIONS> 0
<RETURNS-OF-CAPITAL> 0
<PER-SHARE-NAV-END> 1.00
<EXPENSE-RATIO> .010
<AVG-DEBT-OUTSTANDING> 0
<AVG-DEBT-PER-SHARE> 0
</TABLE>
