<PAGE>      PAGE  1
000 B000000 10/31/97
000 C000000 830487
000 D000000 N
000 E000000 NF
000 F000000 Y
000 G000000 N
000 H000000 N
000 I000000 3.0.a
000 J000000 A
001 A000000 MUNICIPAL HIGH INCOME FUND INC.
001 B000000 811-5497
001 C000000 2128166550
002 A000000 388 GREENWICH STREET
002 B000000 NEW YORK
002 C000000 NY
002 D010000 10013
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
008 A000001 SMITH BARNEY
008 B000001 A
008 C000001 801-3389
008 D010001 NEW YORK
008 D020001 NY
008 D030001 10013
010 A000001 SMITH BARNEY
010 B000001 801-14437
010 C010001 NEW YORK
010 C020001 NY
010 C030001 10013
011 A000001 SMITH BARNEY
011 B000001 8-81777
011 C010001 NEW YORK
011 C020001 NY
011 C030001 10013
012 A000001 FIRST DATA INVESTOR SERVICES GROUP
012 B000001 85-0000000
012 C010001 BOSTON
<PAGE>      PAGE  2
012 C020001 MA
012 C030001 02104
013 A000001 KPMG PEAT MARWICK
013 B010001 NEW YORK
013 B020001 NY
013 B030001 10154
015 A000001 PNC BANK
015 B000001 C
015 C010001 PHILADELPHIA
015 C020001 PA
015 C030001 19103
015 E010001 X
018  000000 Y
019 A000000 Y
019 B000000  127
019 C000000 BARNEY0000
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 GREENWICH PARTNERS
022 B000001 N/A
022 C000001     13321
022 D000001     10417
022 A000002 PAINE WEBBER
022 B000002 13-2638166
022 C000002     15460
022 D000002      3658
022 A000003 GOLDMAN SACHS
022 B000003 13-5108880
022 C000003     10262
022 D000003      2607
022 A000004 CALLED BOND BROKER
022 B000004 N/A
022 C000004         0
022 D000004     10720
022 A000005 MERRILL LYNCH
022 B000005 13-5674085
022 C000005      7015
022 D000005       900
022 A000006 PRUDENTIAL SECURITIES
022 B000006 22-2347336
022 C000006      4100
022 D000006      3600
<PAGE>      PAGE  3
022 A000007 MORGAN STANLEY
022 B000007 13-2655998
022 C000007      4600
022 D000007      2630
022 A000008 CITICORP SECURITIES
022 B000008 N/A
022 C000008      3350
022 D000008      3350
022 A000009 WILLIAM SIMON
022 B000009 22-3017217
022 C000009      2878
022 D000009      2955
022 A000010 BEAR STEARNS
022 B000010 13-3299429
022 C000010      1412
022 D000010      3567
023 C000000      62398
023 D000000      44404
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
027  000000 N
028 A010000         0
028 A020000         0
028 A030000         0
028 A040000         0
028 B010000         0
028 B020000         0
028 B030000         0
028 B040000         0
028 C010000         0
028 C020000         0
028 C030000         0
028 C040000         0
028 D010000         0
028 D020000         0
028 D030000         0
028 D040000         0
028 E010000         0
028 E020000         0
028 E030000         0
028 E040000         0
028 F010000         0
028 F020000         0
028 F030000         0
<PAGE>      PAGE  4
028 F040000         0
028 G010000         0
028 G020000         0
028 G030000         0
028 G040000         0
028 H000000         0
030 A000000      0
030 B000000  0.00
030 C000000  0.00
031 A000000      0
031 B000000      0
032  000000      0
033  000000      0
035  000000      0
036 B000000      0
038  000000      0
042 A000000   0
042 B000000   0
042 C000000   0
042 D000000   0
042 E000000   0
042 F000000   0
042 G000000   0
042 H000000   0
043  000000      0
044  000000      0
045  000000 Y
046  000000 N
047  000000 Y
048  000000  0.600
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
<PAGE>      PAGE  5
048 K020000 0.000
055 A000000 Y
055 B000000 N
056  000000 N
057  000000 N
058 A000000 N
059  000000 Y
060 A000000 Y
060 B000000 Y
061  000000        0
062 A000000 Y
062 B000000   0.0
062 C000000   0.0
062 D000000   0.0
062 E000000   0.3
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   1.0
062 M000000   0.0
062 N000000   0.0
062 O000000  98.7
062 P000000   0.0
062 Q000000   0.0
062 R000000   0.0
063 A000000   0
063 B000000 21.0
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 Y
070 E020000 N
070 F010000 N
070 F020000 N
070 G010000 Y
070 G020000 N
<PAGE>      PAGE  6
070 H010000 N
070 H020000 N
070 I010000 N
070 I020000 N
070 J010000 N
070 J020000 N
070 K010000 N
070 K020000 N
070 L010000 N
070 L020000 N
070 M010000 N
070 M020000 N
070 N010000 N
070 N020000 N
070 O010000 N
070 O020000 N
070 P010000 N
070 P020000 N
070 Q010000 N
070 Q020000 N
070 R010000 N
070 R020000 N
071 A000000     68984
071 B000000     65040
071 C000000    186539
071 D000000   35
072 A000000 12
072 B000000    13494
072 C000000        0
072 D000000        0
072 E000000        0
072 F000000      758
072 G000000      379
072 H000000        0
072 I000000       20
072 J000000        9
072 K000000        0
072 L000000        0
072 M000000       43
072 N000000       24
072 O000000        0
072 P000000        0
072 Q000000        0
072 R000000       23
072 S000000       22
072 T000000        0
072 U000000        0
072 V000000      118
072 W000000       15
072 X000000     1411
072 Y000000        0
<PAGE>      PAGE  7
072 Z000000    12083
072AA000000        0
072BB000000      400
072CC010000     5291
072CC020000        0
072DD010000    12281
072DD020000        0
072EE000000        0
073 A010000   0.6200
073 A020000   0.0000
073 B000000   0.0000
073 C000000   0.0000
074 A000000       79
074 B000000        0
074 C000000      500
074 D000000   191522
074 E000000        0
074 F000000        0
074 G000000        0
074 H000000        0
074 I000000        0
074 J000000       55
074 K000000        0
074 L000000     4451
074 M000000        0
074 N000000   196607
074 O000000     2239
074 P000000        0
074 Q000000        0
074 R010000        0
074 R020000        0
074 R030000        0
074 R040000      235
074 S000000        0
074 T000000   194133
074 U010000    19885
074 U020000        0
074 V010000     9.76
074 V020000     0.00
074 W000000   0.0000
074 X000000     1637
074 Y000000    12846
075 A000000        0
075 B000000   189493
076  000000     9.88
077 A000000 N
078  000000 N
080 A000000 ICI MUTUAL INSURANCE CO
080 C000000    78275
081 A000000 Y
081 B000000 127
<PAGE>      PAGE  8
082 A000000 N
082 B000000        0
083 A000000 N
083 B000000        0
084 A000000 N
084 B000000        0
085 A000000 Y
085 B000000 N
086 A010000      0
086 A020000      0
086 B010000      0
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
087 A010000 MUNICIPAL HIGH INCOME
087 A020000 626214100
087 A030000 MHF
SIGNATURE   THOMAS M. REYNOLDS                           
TITLE       CONTROLLER