<PAGE> PAGE 1
000 A000000 06/30/95
000 C000000 798169
000 D000000 N
000 E000000 NF
000 F000000 Y
000 G000000 N
000 H000000 N
000 I000000 3.0
000 J000000 A
001 A000000 STRONG MUNICIPAL MONEY MARKET FUND, INC.
001 B000000 811-4770
001 C000000 4143593472
002 A000000 PO BOX 2936
002 B000000 MILWUAKEE
002 C000000 WI
002 D010000 53201
002 D020000 2936
003 000000 N
004 000000 N
005 000000 N
006 000000 N
007 A000000 N
007 B000000 0
007 C010100 1
007 C010200 2
007 C010300 3
007 C010400 4
007 C010500 5
007 C010600 6
007 C010700 7
007 C010800 8
007 C010900 9
007 C011000 10
007 C011100 11
007 C011200 12
007 C011300 13
007 C011400 14
007 C011500 15
007 C011600 16
007 C011700 17
007 C011800 18
007 C011900 19
007 C012000 20
007 C012100 21
007 C012200 22
007 C012300 23
007 C012400 24
007 C012500 25
007 C012600 26
007 C012700 27
007 C012800 28
<PAGE> PAGE 2
007 C012900 29
007 C013000 30
008 A000001 STRONG CAPITAL MANAGEMENT, INC.
008 B000001 A
008 C000001 801-10724
008 D010001 MILWAUKEE
008 D020001 WI
008 D030001 53201
008 D040001 2936
011 A000001 STRONG FUNDS DISTRIBUTORS, INC.
011 B000001 8-10724
011 C010001 MILWAUKEE
011 C020001 WI
011 C030001 53201
011 C040001 2936
012 A000001 STRONG CAPITAL MANAGEMENT, INC.
012 B000001 84-1599
012 C010001 MILWAUKEE
012 C020001 WI
012 C030001 53201
012 C040001 2936
013 A000001 COOPERS & LYBRAND L.L.P
013 B010001 MILWAUKEE
013 B020001 WI
013 B030001 53202
014 A000001 STRONG FUNDS DISTRIBUTORS, INC.
014 B000001 8-32608
014 A000002 W.H. REAVES & COMPANY, INC.
014 B000002 8-22142
015 A000001 FIRSTAR TRUST COMPANY
015 B000001 C
015 C010001 MILWAUKEE
015 C020001 WI
015 C030001 53202
015 E010001 X
018 000000 Y
019 A000000 Y
019 B000000 25
019 C000000 STRONGFUND
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 MERRILL LYNCH CAPITAL MARKETS
<PAGE> PAGE 3
022 C000001 563496
022 D000001 309778
022 A000002 GOLDMAN, SACHS & COMPANY
022 C000002 162700
022 D000002 113900
022 A000003 NEWMAN & ASSOCIATES
022 C000003 116820
022 D000003 51765
022 A000004 SMITH BARNEY SHEARSON
022 C000004 105025
022 D000004 56725
022 A000005 PAINEWEBBER
022 C000005 61200
022 D000005 95800
022 A000006 J.P. MORGAN SECURITIES
022 C000006 31487
022 D000006 81100
022 A000007 BANK OF AMERICA
022 C000007 54325
022 D000007 58075
022 A000008 MERIDIAN SECURITIES
022 C000008 83445
022 D000008 17056
022 A000009 LEHMAN BROTHERS
022 C000009 86870
022 D000009 0
022 A000010 JOHN NUVEEN & COMPANY
022 C000010 49620
022 D000010 28630
023 C000000 1793992
023 D000000 1151857
024 000000 N
025 D000001 0
025 D000002 0
025 D000003 0
025 D000004 0
025 D000005 0
025 D000006 0
025 D000007 0
025 D000008 0
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
027 000000 Y
028 A010000 301328
<PAGE> PAGE 4
028 A020000 4365
028 A030000 0
028 A040000 330677
028 B010000 188661
028 B020000 3452
028 B030000 0
028 B040000 174359
028 C010000 181113
028 C020000 3537
028 C030000 0
028 C040000 219759
028 D010000 169836
028 D020000 4181
028 D030000 0
028 D040000 198279
028 E010000 269960
028 E020000 3701
028 E030000 0
028 E040000 173357
028 F010000 236819
028 F020000 4348
028 F030000 0
028 F040000 262608
028 G010000 1347717
028 G020000 23584
028 G030000 0
028 G040000 1359039
028 H000000 0
029 000000 N
030 A000000 0
030 B000000 0.00
030 C000000 0.00
031 A000000 0
031 B000000 0
032 000000 0
033 000000 0
034 000000 N
035 000000 0
036 B000000 0
037 000000 N
038 000000 0
039 000000 N
040 000000 N
042 A000000 0
042 B000000 0
042 C000000 0
042 D000000 0
042 E000000 0
042 F000000 0
042 G000000 0
042 H000000 0
<PAGE> PAGE 5
043 000000 0
044 000000 0
045 000000 Y
046 000000 N
047 000000 Y
048 000000 0.500
048 A010000 0
048 A020000 0.000
048 B010000 0
048 B020000 0.000
048 C010000 0
048 C020000 0.000
048 D010000 0
048 D020000 0.000
048 E010000 0
048 E020000 0.000
048 F010000 0
048 F020000 0.000
048 G010000 0
048 G020000 0.000
048 H010000 0
048 H020000 0.000
048 I010000 0
048 I020000 0.000
048 J010000 0
048 J020000 0.000
048 K010000 0
048 K020000 0.000
049 000000 N
050 000000 N
051 000000 N
052 000000 N
053 A000000 N
054 A000000 Y
054 B000000 Y
054 C000000 Y
054 D000000 N
054 E000000 N
054 F000000 N
054 G000000 N
054 H000000 Y
054 I000000 N
054 J000000 Y
054 K000000 N
054 L000000 Y
054 M000000 Y
054 N000000 N
054 O000000 N
055 A000000 N
055 B000000 N
056 000000 Y
<PAGE> PAGE 6
057 000000 N
058 A000000 N
059 000000 Y
060 A000000 Y
060 B000000 Y
061 000000 2500
062 A000000 Y
062 B000000 0.0
062 C000000 0.0
062 D000000 0.0
062 E000000 100.7
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 68
063 B000000 0.0
064 A000000 Y
064 B000000 N
066 A000000 N
067 000000 N
068 A000000 N
068 B000000 N
069 000000 N
070 A010000 Y
070 A020000 N
070 B010000 N
070 B020000 N
070 C010000 N
070 C020000 N
070 D010000 N
070 D020000 N
070 E010000 N
070 E020000 N
070 F010000 N
070 F020000 N
070 G010000 N
070 G020000 N
070 H010000 N
070 H020000 N
070 I010000 N
070 I020000 N
<PAGE> PAGE 7
070 J010000 Y
070 J020000 N
070 K010000 N
070 K020000 N
070 L010000 N
070 L020000 N
070 M010000 N
070 M020000 N
070 N010000 Y
070 N020000 N
070 O010000 Y
070 O020000 N
070 P010000 N
070 P020000 N
070 Q010000 N
070 Q020000 N
070 R010000 N
070 R020000 N
071 A000000 0
071 B000000 0
071 C000000 0
071 D000000 0
072 A000000 6
072 B000000 28913
072 C000000 0
072 D000000 0
072 E000000 0
072 F000000 3107
072 G000000 0
072 H000000 0
072 I000000 436
072 J000000 68
072 K000000 0
072 L000000 333
072 M000000 14
072 N000000 56
072 O000000 0
072 P000000 0
072 Q000000 0
072 R000000 15
072 S000000 11
072 T000000 0
072 U000000 0
072 V000000 0
072 W000000 28
072 X000000 4068
072 Y000000 0
072 Z000000 24845
072AA000000 0
072BB000000 0
072CC010000 0
<PAGE> PAGE 8
072CC020000 0
072DD010000 24845
072DD020000 0
072EE000000 0
073 A010000 0.0198
073 A020000 0.0000
073 B000000 0.0000
073 C000000 0.0000
074 A000000 428
074 B000000 0
074 C000000 1281324
074 D000000 0
074 E000000 0
074 F000000 0
074 G000000 0
074 H000000 0
074 I000000 0
074 J000000 32501
074 K000000 0
074 L000000 11279
074 M000000 106
074 N000000 1325638
074 O000000 47531
074 P000000 557
074 Q000000 0
074 R010000 0
074 R020000 0
074 R030000 0
074 R040000 4671
074 S000000 0
074 T000000 1272879
074 U010000 1272879
074 U020000 0
074 V010000 1.00
074 V020000 0.00
074 W000000 1.0006
074 X000000 25343
074 Y000000 33958
075 A000000 1252834
075 B000000 0
076 000000 0.00
077 A000000 N
078 000000 N
080 C000000 0
081 B000000 0
082 B000000 0
083 B000000 0
084 B000000 0
086 A010000 0
086 A020000 0
086 B010000 0
<PAGE> PAGE 9
086 B020000 0
086 C010000 0
086 C020000 0
086 D010000 0
086 D020000 0
086 E010000 0
086 E020000 0
086 F010000 0
086 F020000 0
SIGNATURE RONALD A. NEVILLE
TITLE SENIOR V.P.
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000798169
<NAME> STRONG MUNICIPAL MONEY MARKET FUND, INC.
<MULTIPLIER> 1000
<S> <C>
<PERIOD-TYPE> 6-MOS
<FISCAL-YEAR-END> DEC-31-1995
<PERIOD-START> JAN-01-1995
<PERIOD-END> JUN-30-1995
<INVESTMENTS-AT-COST> 1281324
<INVESTMENTS-AT-VALUE> 1281324
<RECEIVABLES> 43780
<ASSETS-OTHER> 534
<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 1325638
<PAYABLE-FOR-SECURITIES> 47531
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 5228
<TOTAL-LIABILITIES> 52759
<SENIOR-EQUITY> 0
<PAID-IN-CAPITAL-COMMON> 1272879
<SHARES-COMMON-STOCK> 1272879
<SHARES-COMMON-PRIOR> 1260617
<ACCUMULATED-NII-CURRENT> 0
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> 0
<OVERDISTRIBUTION-GAINS> 0
<ACCUM-APPREC-OR-DEPREC> 0
<NET-ASSETS> 1272879
<DIVIDEND-INCOME> 0
<INTEREST-INCOME> 28913
<OTHER-INCOME> 0
<EXPENSES-NET> (4068)
<NET-INVESTMENT-INCOME> 24845
<REALIZED-GAINS-CURRENT> 0
<APPREC-INCREASE-CURRENT> 0
<NET-CHANGE-FROM-OPS> 24845
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> (24845)
<DISTRIBUTIONS-OF-GAINS> 0
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 1347717
<NUMBER-OF-SHARES-REDEEMED> 1359039
<SHARES-REINVESTED> 23584
<NET-CHANGE-IN-ASSETS> 12262
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> 0
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 0
<GROSS-ADVISORY-FEES> 3107
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 4068
<AVERAGE-NET-ASSETS> 1252834
<PER-SHARE-NAV-BEGIN> 1.00<F1>
<PER-SHARE-NII> .02<F1>
<PER-SHARE-GAIN-APPREC> 0
<PER-SHARE-DIVIDEND> (.02)<F1>
<PER-SHARE-DISTRIBUTIONS> 0
<RETURNS-OF-CAPITAL> 0
<PER-SHARE-NAV-END> 1.00<F1>
<EXPENSE-RATIO> 0.7<F2>
<AVG-DEBT-OUTSTANDING> 0
<AVG-DEBT-PER-SHARE> 0
<FN>
<F1>All numbers in thousands except per share amounts.
<F2>Stated in percent and calculated on an annualized basis.
</FN>
</TABLE>
