<PAGE> PAGE 1
000 B000000 10/31/2000
000 C000000 0000896061
000 D000000 N
000 E000000 F
000 F000000 Y
000 G000000 Y
000 H000000 N
000 I000000 6.1
000 J000000 A
001 A000000 NUVEEN PREMIUM INCOME MUNI FUND 4, INC.
001 B000000 811-7432
001 C000000 3129178200
002 A000000 333 WEST WACKER DRIVE
002 B000000 CHICAGO
002 C000000 IL
002 D010000 60606
002 D020000 1286
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 NUVEEN ADVISORY CORP
008 B000001 A
008 C000001 801-12353
008 D010001 CHICAGO
008 D020001 IL
008 D030001 60606
008 D040001 1286
011 A000001 PRUDENTIAL SECURITIES INCORPORATED
011 B000001 8-12321
011 C010001 NEW YORK
011 C020001 NY
011 C030001 10292
011 A000002 ALEX BROWN & SONS, INC.
011 B000002 8-31213
011 C010002 BALTIMORE
011 C020002 MD
011 C030002 21202
011 A000003 PAINE WEBBER INCORPORATED
<PAGE> PAGE 2
011 B000003 8-16267
011 C010003 NEW YORK
011 C020003 NY
011 C030003 10019
011 A000004 A G EDWARDS & SONS, INC.
011 B000004 8-13580
011 C010004 ST. LOUIS
011 C020004 MO
011 C030004 63103
011 A000005 JOHN NUVEEN & COMPANY, INC.
011 B000005 8-13464
011 C010005 CHICAGO
011 C020005 IL
011 C030005 60606
011 C040005 1286
011 A000006 SMITH BARNEY HARRIS UPHAM & COMPANY, INC.
011 B000006 8-08177
011 C010006 NEW YORK
011 C020006 NY
011 C030006 10105
011 A000007 LEGG MASON WOOD WALKER, INC.
011 B000007 8-15939
011 C010007 BALTIMORE
011 C020007 MD
011 C030007 21202
011 A000008 LEHMAN BROTHERS
011 B000008 8-12324
011 C010008 NEW YORK
011 C020008 NY
011 C030008 10285
011 A000009 KEMPER SECURITIES, INC.
011 B000009 8-37180
011 C010009 CHICAGO
011 C020009 IL
011 C030009 60606
012 A000001 CHASE MANHATTAN BANK, N.A.
012 B000001 85-10233
012 C010001 NEW YORK
012 C020001 NY
012 C030001 10003
013 A000001 ERNST & YOUNG
013 B010001 CHICAGO
013 B020001 IL
013 B030001 60611
014 A000001 JOHN NUVEEN & COMPANY, INC.
014 B000001 8-13464
015 A000001 CHASE MANHATTAN BANK, N.A.
015 B000001 C
015 C010001 NEW YORK
015 C020001 NY
015 C030001 10003
<PAGE> PAGE 3
015 E010001 X
015 A000002 BANK OF NEW YORK
015 B000002 S
015 C010002 NEW YORK
015 C020002 NY
015 C030002 10007
015 E010002 X
015 A000003 BANKERS TRUST COMPANY
015 B000003 S
015 C010003 NEW YORK
015 C020003 NY
015 C030003 10015
015 E010003 X
015 A000004 NATIONSBANK OF NORTH CAROLINA NA
015 B000004 S
015 C010004 CHARLOTTE
015 C020004 NC
015 C030004 28255
015 E010004 X
018 000000 Y
019 A000000 Y
019 B000000 107
019 C000000 NUVEENFUND
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 MORGAN STANLEY DEAN WITTER
022 B000001 13-2655998
022 C000001 60022
022 D000001 61464
022 A000002 J.P. MORGAN
022 B000002 13-3224016
022 C000002 23839
022 D000002 13373
022 A000003 PIPER JAFFRAY
022 B000003 41-0953246
022 C000003 12500
022 D000003 18481
022 A000004 SALOMON SMITH BARNEY
022 B000004 13-1912900
022 C000004 16596
022 D000004 10491
022 A000005 MERRILL LYNCH
<PAGE> PAGE 4
022 B000005 13-5674085
022 C000005 16413
022 D000005 10110
022 A000006 LEHMAN BROTHERS
022 B000006 13-2518466
022 C000006 21838
022 D000006 2900
022 A000007 WILLIAM BLAIR
022 B000007 36-2214610
022 C000007 16960
022 D000007 0
022 A000008 GOLDMAN SACHS
022 B000008 13-5108880
022 C000008 9423
022 D000008 4050
022 A000009 BEAR STEARNS
022 B000009 13-3604093
022 C000009 0
022 D000009 13297
022 A000010 FIRST ALBANY
022 B000010 14-1391446
022 C000010 8581
022 D000010 3849
023 C000000 260130
023 D000000 287154
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 N
026 C000000 N
026 D000000 Y
026 E000000 N
026 F000000 N
026 G010000 N
026 G020000 N
026 H000000 N
027 000000 N
028 A010000 0
028 A020000 0
028 A030000 0
028 A040000 0
028 B010000 0
028 B020000 0
028 B030000 0
<PAGE> PAGE 5
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
028 F040000 0
028 G010000 0
028 G020000 0
028 G030000 0
028 G040000 0
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
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 0.000
048 A010000 125000
048 A020000 0.650
048 B010000 125000
048 B020000 0.638
<PAGE> PAGE 6
048 C010000 250000
048 C020000 0.625
048 D010000 500000
048 D020000 0.613
048 E010000 1000000
048 E020000 0.600
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 2000000
048 K020000 0.588
049 000000 N
050 000000 N
051 000000 N
052 000000 N
053 A000000 Y
053 B000000 Y
053 C000000 N
054 A000000 Y
054 B000000 N
054 C000000 N
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 N
054 M000000 Y
054 N000000 N
054 O000000 Y
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
<PAGE> PAGE 7
062 C000000 0.0
062 D000000 0.0
062 E000000 0.9
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 94.8
062 P000000 0.0
062 Q000000 0.0
062 R000000 0.0
063 A000000 0
063 B000000 11.4
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 Y
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
070 H010000 N
070 H020000 N
070 I010000 N
070 I020000 N
070 J010000 Y
070 J020000 N
070 K010000 N
070 K020000 N
070 L010000 N
070 L020000 N
070 M010000 N
070 M020000 N
<PAGE> PAGE 8
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 128160
071 B000000 146684
071 C000000 896379
071 D000000 14
072 A000000 12
072 B000000 55134
072 C000000 0
072 D000000 0
072 E000000 0
072 F000000 5742
072 G000000 0
072 H000000 0
072 I000000 154
072 J000000 170
072 K000000 16
072 L000000 23
072 M000000 17
072 N000000 0
072 O000000 0
072 P000000 0
072 Q000000 0
072 R000000 0
072 S000000 201
072 T000000 0
072 U000000 0
072 V000000 0
072 W000000 1047
072 X000000 7370
072 Y000000 59
072 Z000000 47824
072AA000000 0
072BB000000 2840
072CC010000 6074
072CC020000 0
072DD010000 35420
072DD020000 0
072EE000000 0
073 A010000 0.8190
073 A020000 0.0000
073 B000000 0.0000
073 C000000 0.0000
<PAGE> PAGE 9
074 A000000 2264
074 B000000 0
074 C000000 8000
074 D000000 876052
074 E000000 0
074 F000000 0
074 G000000 0
074 H000000 0
074 I000000 0
074 J000000 27400
074 K000000 0
074 L000000 18845
074 M000000 0
074 N000000 932561
074 O000000 5000
074 P000000 487
074 Q000000 0
074 R010000 0
074 R020000 0
074 R030000 0
074 R040000 3287
074 S000000 338400
074 T000000 585387
074 U010000 43237
074 U020000 0
074 V010000 13.54
074 V020000 0.00
074 W000000 0.0000
074 X000000 4610
074 Y000000 89444
075 A000000 0
075 B000000 919682
076 000000 12.31
077 A000000 Y
077 B000000 Y
077 Q010000 Y
080 A000000 TRAVELERS CASUALTY & SURETY CO. OF AMERICA
080 C000000 60000
081 A000000 Y
081 B000000 106
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
<PAGE> PAGE 10
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 COMMON STOCK
087 A020000 6706K4105
087 A030000 NPT
088 A000000 N
088 B000000 N
088 C000000 N
088 D000000 Y
SIGNATURE STEPHEN D. FOY
TITLE V.P. & CONTROLLER
