SELIGMAN HIGH INCOME FUND SERIES
NSAR-B, 1997-02-28
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<PAGE>      PAGE  1
000 B000000 12/31/96
000 C000000 752372
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 SELIGMAN HIGH INCOME FUND SERIES
001 B000000 811-4103
001 C000000 2128501864
002 A000000 100 PARK AVENUE
002 B000000 NEW YORK
002 C000000 NY
002 D010000 10017
003  000000 N
004  000000 N
005  000000 N
006  000000 N
007 A000000 Y
007 B000000  2
007 C010100  1
007 C020100 U.S. GOVERNMENT SECURITIES SERIES
007 C030100 N
007 C010200  2
007 C010300  3
007 C020300 HIGH-YIELD BOND SERIES
007 C030300 N
007 C010400  4
007 C010500  5
007 C010600  6
007 C010700  7
007 C010800  8
007 C010900  9
007 C011000 10
008 A00AA01 J. & W. SELIGMAN & CO. INC.
008 B00AA01 A
008 C00AA01 801-15798
008 D01AA01 NEW YORK
008 D02AA01 NY
008 D03AA01 10017
011 A00AA01 SELIGMAN FINANCIAL SERVICES, INC.
011 B00AA01 8-25845
011 C01AA01 NEW YORK
011 C02AA01 NY
011 C03AA01 10017
012 A00AA01 SELIGMAN DATA CORP.
012 B00AA01 84-1895
012 C01AA01 NEW YORK
012 C02AA01 NY
<PAGE>      PAGE  2
012 C03AA01 10017
013 A00AA01 DELOITTE & TOUCHE LLP
013 B01AA01 NEW YORK
013 B02AA01 NY
013 B03AA01 10281
014 A00AA01 SELIGMAN SERVICES, INC.
014 B00AA01 8-47717
015 A00AA01 INVESTORS FIDUCIARY TRUST COMPANY
015 B00AA01 C
015 C01AA01 KANSAS CITY
015 C02AA01 MO
015 C03AA01 64105
015 C04AA01 1716
015 E01AA01 X
015 A00AA02 CHASE MANHATTAN BANK
015 B00AA02 S
015 C01AA02 NEW YORK
015 C02AA02 NY
015 C03AA02 10036
015 E06AA02 X
018  00AA00 Y
019 A00AA00 Y
019 B00AA00   48
019 C00AA00 JWSELIGMAN
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 HSBC SECURITIES
022 B000001 13-2650272
022 C000001   1026506
022 D000001         0
022 A000002 NATIONAL WESTMINSTER BANK-GRAND CAYMAN
022 B000002 13-5634601
022 C000002    905494
022 D000002         0
022 A000003 FIRST NATIONAL BANK OF CHICAGO-GRAND CAYMAN
022 B000003 36-0899825
022 C000003    688249
022 D000003         0
022 A000004 ABN-AMRO BANK-GRAND CAYMAN
022 B000004 13-5268975
022 C000004    603474
022 D000004         0
<PAGE>      PAGE  3
022 A000005 DONALDSON, LUFKIN & JENRETTE SECURITIES CORP.
022 B000005 13-2741729
022 C000005    288339
022 D000005    219900
022 A000006 CANADAIN IMPERIAL BK OF COMMERCE-GRAND CAYMAN
022 B000006 13-1942440
022 C000006    485279
022 D000006     20533
022 A000007 REPUBLIC NATIONAL BANK OF NEW YORK
022 B000007 13-2774726
022 C000007    312713
022 D000007         0
022 A000008 UNION BANK OF SWITZERLAND-GRAND CAYMAN
022 B000008 13-2795530
022 C000008    296053
022 D000008         0
022 A000009 BANK OF MONTREAL-TORONTO
022 B000009 13-4941926
022 C000009    257644
022 D000009         0
022 A000010 STATE STREET BANK OF BOSTON
022 B000010 04-1867445
022 C000010    188609
022 D000010         0
023 C000000    6046693
023 D000000     647097
024  00AA00 N
025 D00AA01       0
025 D00AA02       0
025 D00AA03       0
025 D00AA04       0
025 D00AA05       0
025 D00AA06       0
025 D00AA07       0
025 D00AA08       0
026 A000000 Y
026 B000000 Y
026 C000000 Y
026 D000000 Y
026 E000000 N
026 F000000 Y
026 G010000 N
026 G020000 N
026 H000000 Y
027  000000 Y
037  00AA00 N
038  00AA00      0
039  00AA00 N
040  00AA00 Y
041  00AA00 Y
049  00AA00 N
<PAGE>      PAGE  4
050  00AA00 N
051  00AA00 N
052  00AA00 N
053 A00AA00 N
054 A00AA00 Y
054 B00AA00 Y
054 C00AA00 N
054 D00AA00 N
054 E00AA00 N
054 F00AA00 N
054 G00AA00 Y
054 H00AA00 Y
054 I00AA00 N
054 J00AA00 Y
054 K00AA00 N
054 L00AA00 N
054 M00AA00 Y
054 N00AA00 N
054 O00AA00 Y
058 A00AA00 N
059  00AA00 Y
060 A00AA00 Y
060 B00AA00 Y
061  00AA00     1000
066 A00AA00 N
067  00AA00 N
068 A00AA00 N
068 B00AA00 N
069  00AA00 N
077 A000000 Y
077 B000000 Y
077 C000000 N
077 D000000 N
077 E000000 N
077 F000000 N
077 G000000 N
077 H000000 N
077 I000000 N
077 J000000 N
077 K000000 N
077 L000000 N
077 M000000 N
077 N000000 N
077 O000000 N
077 P000000 N
077 Q010000 Y
077 Q020000 N
077 Q030000 N
078  000000 N
080 A00AA00 ICI MUTUAL INSURANCE COMPANY
080 C00AA00    22000
<PAGE>      PAGE  5
081 A00AA00 Y
081 B00AA00  54
082 A00AA00 Y
082 B00AA00      150
083 A00AA00 N
083 B00AA00        0
084 A00AA00 N
084 B00AA00        0
085 A00AA00 Y
085 B00AA00 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
028 A010100      2324
028 A020100       152
028 A030100         0
028 A040100      1440
028 B010100      1294
028 B020100       162
028 B030100         0
028 B040100      1453
028 C010100       760
028 C020100       155
028 C030100         0
028 C040100      1269
028 D010100       497
028 D020100       152
028 D030100         0
028 D040100      1442
028 E010100       949
028 E020100       156
028 E030100         0
028 E040100      1142
028 F010100      1090
028 F020100       146
028 F030100         0
028 F040100      1725
028 G010100      6914
028 G020100       923
028 G030100         0
028 G040100      8471
028 H000100       975
<PAGE>      PAGE  6
029  000100 Y
030 A000100     87
030 B000100  4.75
030 C000100  0.00
031 A000100     10
031 B000100      0
032  000100     74
033  000100      3
034  000100 Y
035  000100      4
036 A000100 N
036 B000100      0
042 A000100   0
042 B000100   0
042 C000100   0
042 D000100 100
042 E000100   0
042 F000100   0
042 G000100   0
042 H000100   0
043  000100    193
044  000100      0
045  000100 Y
046  000100 N
047  000100 Y
048  000100  0.500
048 A010100        0
048 A020100 0.000
048 B010100        0
048 B020100 0.000
048 C010100        0
048 C020100 0.000
048 D010100        0
048 D020100 0.000
048 E010100        0
048 E020100 0.000
048 F010100        0
048 F020100 0.000
048 G010100        0
048 G020100 0.000
048 H010100        0
048 H020100 0.000
048 I010100        0
048 I020100 0.000
048 J010100        0
048 J020100 0.000
048 K010100        0
048 K020100 0.000
055 A000100 Y
055 B000100 N
056  000100 Y
<PAGE>      PAGE  7
057  000100 N
062 A000100 Y
062 B000100   0.0
062 C000100   0.0
062 D000100   3.2
062 E000100   0.0
062 F000100   0.0
062 G000100   0.0
062 H000100   0.0
062 I000100   0.0
062 J000100   0.0
062 K000100   0.0
062 L000100   1.1
062 M000100  64.5
062 N000100  31.2
062 O000100   0.0
062 P000100   0.0
062 Q000100   0.0
062 R000100   0.0
063 A000100   0
063 B000100 16.8
064 A000100 N
064 B000100 N
070 A010100 Y
070 A020100 Y
070 B010100 N
070 B020100 N
070 C010100 Y
070 C020100 N
070 D010100 N
070 D020100 N
070 E010100 Y
070 E020100 N
070 F010100 N
070 F020100 N
070 G010100 Y
070 G020100 N
070 H010100 N
070 H020100 N
070 I010100 N
070 I020100 N
070 J010100 Y
070 J020100 N
070 K010100 N
070 K020100 N
070 L010100 N
070 L020100 N
070 M010100 N
070 M020100 N
070 N010100 Y
070 N020100 N
<PAGE>      PAGE  8
070 O010100 N
070 O020100 N
070 P010100 Y
070 P020100 N
070 Q010100 N
070 Q020100 N
070 R010100 N
070 R020100 N
071 A000100     92940
071 B000100     95415
071 C000100     53032
071 D000100  175
072 A000100 12
072 B000100     4185
072 C000100        0
072 D000100        0
072 E000100        0
072 F000100      291
072 G000100        0
072 H000100        0
072 I000100      111
072 J000100       21
072 K000100       11
072 L000100       31
072 M000100       14
072 N000100       20
072 O000100        1
072 P000100        0
072 Q000100        0
072 R000100        7
072 S000100        4
072 T000100      193
072 U000100        0
072 V000100       19
072 W000100       10
072 X000100      733
072 Y000100        0
072 Z000100     3452
072AA000100     1501
072BB000100     2032
072CC010100        0
072CC020100     3266
072DD010100     2998
072DD020100      454
072EE000100        0
073 A010100   0.4096
073 A020100   0.3570
073 B000100   0.0000
073 C000100   0.0000
074 A000100      164
074 B000100     1800
<PAGE>      PAGE  9
074 C000100        0
074 D000100    53747
074 E000100        0
074 F000100        0
074 G000100        0
074 H000100        0
074 I000100        0
074 J000100        0
074 K000100       10
074 L000100      824
074 M000100       25
074 N000100    56570
074 O000100        0
074 P000100       66
074 Q000100        0
074 R010100        0
074 R020100        0
074 R030100        0
074 R040100      332
074 S000100        0
074 T000100    56172
074 U010100     6984
074 U020100     1380
074 V010100     6.71
074 V020100     6.73
074 W000100   0.0000
074 X000100     3057
074 Y000100        0
075 A000100        0
075 B000100    58245
076  000100     0.00
028 A010300     50526
028 A020300      1931
028 A030300         0
028 A040300     14893
028 B010300     72034
028 B020300      2213
028 B030300         0
028 B040300     12550
028 C010300     74468
028 C020300      2358
028 C030300         0
028 C040300     13555
028 D010300     84924
028 D020300      2592
028 D030300         0
028 D040300     28356
028 E010300     86820
028 E020300      2991
028 E030300         0
028 E040300     18330
<PAGE>      PAGE  10
028 F010300     87131
028 F020300      3241
028 F030300         0
028 F040300     16124
028 G010300    455903
028 G020300     15326
028 G030300         0
028 G040300    103808
028 H000300     75597
029  000300 Y
030 A000300   6176
030 B000300  4.75
030 C000300  0.00
031 A000300    710
031 B000300      0
032  000300   5436
033  000300     30
034  000300 Y
035  000300    147
036 A000300 N
036 B000300      0
042 A000300   0
042 B000300   0
042 C000300  11
042 D000300  89
042 E000300   0
042 F000300   0
042 G000300   0
042 H000300   0
043  000300   2679
044  000300      0
045  000300 Y
046  000300 N
047  000300 Y
048  000300  0.000
048 A010300  1000000
048 A020300 0.650
048 B010300        0
048 B020300 0.000
048 C010300        0
048 C020300 0.000
048 D010300        0
048 D020300 0.000
048 E010300        0
048 E020300 0.000
048 F010300        0
048 F020300 0.000
048 G010300        0
048 G020300 0.000
048 H010300        0
048 H020300 0.000
<PAGE>      PAGE  11
048 I010300        0
048 I020300 0.000
048 J010300        0
048 J020300 0.000
048 K010300  1000000
048 K020300 0.550
055 A000300 Y
055 B000300 N
056  000300 Y
057  000300 N
062 A000300 Y
062 B000300   0.0
062 C000300   0.0
062 D000300   0.0
062 E000300   0.0
062 F000300   0.0
062 G000300   0.0
062 H000300   0.0
062 I000300   0.0
062 J000300   1.9
062 K000300   0.0
062 L000300   2.5
062 M000300   0.0
062 N000300   0.0
062 O000300   0.0
062 P000300  95.1
062 Q000300   0.0
062 R000300   0.5
063 A000300   0
063 B000300  8.8
064 A000300 N
064 B000300 N
070 A010300 Y
070 A020300 N
070 B010300 N
070 B020300 N
070 C010300 N
070 C020300 N
070 D010300 N
070 D020300 N
070 E010300 Y
070 E020300 N
070 F010300 N
070 F020300 N
070 G010300 N
070 G020300 N
070 H010300 N
070 H020300 N
070 I010300 N
070 I020300 N
070 J010300 Y
<PAGE>      PAGE  12
070 J020300 Y
070 K010300 N
070 K020300 N
070 L010300 Y
070 L020300 N
070 M010300 Y
070 M020300 N
070 N010300 Y
070 N020300 N
070 O010300 N
070 O020300 N
070 P010300 Y
070 P020300 N
070 Q010300 N
070 Q020300 N
070 R010300 N
070 R020300 N
071 A000300   1055652
071 B000300    552842
071 C000300    463298
071 D000300  119
072 A000300 12
072 B000300    52323
072 C000300        0
072 D000300        0
072 E000300        0
072 F000300     3107
072 G000300        0
072 H000300        0
072 I000300      899
072 J000300       75
072 K000300       34
072 L000300       38
072 M000300       16
072 N000300      109
072 O000300        1
072 P000300        0
072 Q000300        0
072 R000300       52
072 S000300       15
072 T000300     2679
072 U000300        0
072 V000300       14
072 W000300       18
072 X000300     7057
072 Y000300        0
072 Z000300    45266
072AA000300    17457
072BB000300     9085
072CC010300    13820
072CC020300        0
<PAGE>      PAGE  13
072DD010300    27035
072DD020300    14813
072EE000300        0
073 A010300   0.6947
073 A020300   0.6404
073 B000300   0.0000
073 C000300   0.0000
074 A000300       87
074 B000300        0
074 C000300    15900
074 D000300   785279
074 E000300        0
074 F000300        0
074 G000300        0
074 H000300        0
074 I000300        0
074 J000300        0
074 K000300      107
074 L000300    28186
074 M000300       89
074 N000300   829648
074 O000300     1562
074 P000300      570
074 Q000300        0
074 R010300        0
074 R020300        0
074 R030300        0
074 R040300     5715
074 S000300        0
074 T000300   821801
074 U010300    56292
074 U020300    36597
074 V010300     7.25
074 V020300     7.26
074 W000300   0.0000
074 X000300    26237
074 Y000300        0
075 A000300        0
075 B000300   484017
076  000300     0.00
SIGNATURE   THOMAS G. ROSE                               
TITLE       TREASURER           
 


<TABLE> <S> <C>

<ARTICLE> 6
<SERIES>
   <NUMBER> 011
   <NAME> SELIGMAN U.S.GOVERNMENT SECURITIES CLASS A
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                  12-MOS
<FISCAL-YEAR-END>                          DEC-31-1996
<PERIOD-END>                               DEC-31-1996
<INVESTMENTS-AT-COST>                            55233   
<INVESTMENTS-AT-VALUE>                           55547
<RECEIVABLES>                                      834
<ASSETS-OTHER>                                     189
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                   56570
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          398
<TOTAL-LIABILITIES>                                398
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                         71036
<SHARES-COMMON-STOCK>                             6984<F1>
<SHARES-COMMON-PRIOR>                             7701<F1>
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                        (15178)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                           314
<NET-ASSETS>                                     46889<F1>
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                 3566<F1>
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (568)<F1>
<NET-INVESTMENT-INCOME>                           2998<F1>
<REALIZED-GAINS-CURRENT>                         (531)
<APPREC-INCREASE-CURRENT>                       (3266)
<NET-CHANGE-FROM-OPS>                            (345)
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                       (2998)<F1>
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                           1268<F1>
<NUMBER-OF-SHARES-REDEEMED>                     (2210)<F1>
<SHARES-REINVESTED>                                225<F1>
<NET-CHANGE-IN-ASSETS>                          (7070)
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                      (16299)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              248<F1>
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    568<F1>
<AVERAGE-NET-ASSETS>                             49486<F1>
<PER-SHARE-NAV-BEGIN>                             7.15<F1>
<PER-SHARE-NII>                                    .41<F1>
<PER-SHARE-GAIN-APPREC>                          (.44)<F1>
<PER-SHARE-DIVIDEND>                             (.41)<F1>
<PER-SHARE-DISTRIBUTIONS>                            0<F1>
<RETURNS-OF-CAPITAL>                                 0<F1>
<PER-SHARE-NAV-END>                               6.71<F1>
<EXPENSE-RATIO>                                   1.14<F1>
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
<FN>
<F1>Class A only.  All other data are fund level.
</FN>
        


</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<SERIES>
   <NUMBER> 014
   <NAME> SELIGMAN U.S.GOVERNMENT SECURITIES CLASS D
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                  12-MOS
<FISCAL-YEAR-END>                          DEC-31-1996
<PERIOD-END>                               DEC-31-1996
<INVESTMENTS-AT-COST>                            55233   
<INVESTMENTS-AT-VALUE>                           55547
<RECEIVABLES>                                      834
<ASSETS-OTHER>                                     189
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                   56570
<PAYABLE-FOR-SECURITIES>                             0
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                          398
<TOTAL-LIABILITIES>                                398
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                         71036
<SHARES-COMMON-STOCK>                             1380<F1>
<SHARES-COMMON-PRIOR>                             1142<F1>
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                        (15178)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                           314
<NET-ASSETS>                                      9283<F1>
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                 619<F1>
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (165)<F1>
<NET-INVESTMENT-INCOME>                            454<F1>
<REALIZED-GAINS-CURRENT>                         (531)
<APPREC-INCREASE-CURRENT>                       (3266)
<NET-CHANGE-FROM-OPS>                            (345)
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                        (454)<F1>
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                           1014<F1>
<NUMBER-OF-SHARES-REDEEMED>                      (825)<F1>
<SHARES-REINVESTED>                                 49<F1>
<NET-CHANGE-IN-ASSETS>                          (7070)
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                      (16299)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                               43<F1>
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    165<F1>
<AVERAGE-NET-ASSETS>                              8617<F1>
<PER-SHARE-NAV-BEGIN>                             7.16<F1>
<PER-SHARE-NII>                                    .36<F1>
<PER-SHARE-GAIN-APPREC>                          (.43)<F1>
<PER-SHARE-DIVIDEND>                             (.36)<F1>
<PER-SHARE-DISTRIBUTIONS>                            0<F1>
<RETURNS-OF-CAPITAL>                                 0<F1>
<PER-SHARE-NAV-END>                               6.73<F1>
<EXPENSE-RATIO>                                   1.92<F1>
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
<FN>
<F1>Class D only.  All other data are fund level.
</FN>
        


</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<SERIES>
   <NUMBER> 031
   <NAME> SELIGMAN HIGH-YIELD BOND SERIES CL. A
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                  12-MOS
<FISCAL-YEAR-END>                          DEC-31-1996
<PERIOD-END>                               DEC-31-1996
<INVESTMENTS-AT-COST>                           779304
<INVESTMENTS-AT-VALUE>                          801179
<RECEIVABLES>                                    28293
<ASSETS-OTHER>                                     176
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  829648
<PAYABLE-FOR-SECURITIES>                          1562
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                         6285
<TOTAL-LIABILITIES>                               7847
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        803293
<SHARES-COMMON-STOCK>                            56292<F1>
<SHARES-COMMON-PRIOR>                            26169<F1>
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                         (3367)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         21875
<NET-ASSETS>                                    408303<F1>
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                30242<F1>
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                  (3207)<F1>
<NET-INVESTMENT-INCOME>                          27035<F1>
<REALIZED-GAINS-CURRENT>                          8372
<APPREC-INCREASE-CURRENT>                        13820
<NET-CHANGE-FROM-OPS>                            67458
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                      (27035)<F1>
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          46367<F1>
<NUMBER-OF-SHARES-REDEEMED>                    (18192)<F1>
<SHARES-REINVESTED>                               1948<F1>
<NET-CHANGE-IN-ASSETS>                          549519
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                      (11739)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                             1797<F1>
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                   3207<F1>
<AVERAGE-NET-ASSETS>                            275903<F1>
<PER-SHARE-NAV-BEGIN>                             6.96<F1>
<PER-SHARE-NII>                                    .69<F1>
<PER-SHARE-GAIN-APPREC>                            .29<F1>
<PER-SHARE-DIVIDEND>                             (.69)<F1>
<PER-SHARE-DISTRIBUTIONS>                            0<F1>
<RETURNS-OF-CAPITAL>                                 0<F1>
<PER-SHARE-NAV-END>                               7.25<F1>
<EXPENSE-RATIO>                                   1.16<F1>
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
<FN>
<F1>Class A only.  All other data are fund level.
</FN>
        


</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<SERIES>
   <NUMBER> 032
   <NAME> SELIGMAN HIGH-YIELD BOND SERIES CL. B
<MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                   8-MOS
<FISCAL-YEAR-END>                          DEC-31-1996
<PERIOD-START>                             APR-22-1996  
<PERIOD-END>                               DEC-31-1996
<INVESTMENTS-AT-COST>                           779304
<INVESTMENTS-AT-VALUE>                          801179
<RECEIVABLES>                                    28293
<ASSETS-OTHER>                                     176
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  829648
<PAYABLE-FOR-SECURITIES>                          1562
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                         6285
<TOTAL-LIABILITIES>                               7847
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        803293
<SHARES-COMMON-STOCK>                            20394<F1>
<SHARES-COMMON-PRIOR>                                0<F1>
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                         (3367)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         21875
<NET-ASSETS>                                    147970<F1>
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                 4130<F1>
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                   (712)<F1>
<NET-INVESTMENT-INCOME>                           3418<F1>
<REALIZED-GAINS-CURRENT>                          8372
<APPREC-INCREASE-CURRENT>                        13820
<NET-CHANGE-FROM-OPS>                            67458
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                       (3418)<F1>
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          20713<F1>
<NUMBER-OF-SHARES-REDEEMED>                      (512)<F1>
<SHARES-REINVESTED>                                193<F1>
<NET-CHANGE-IN-ASSETS>                          549519
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                      (11739)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                              244<F1>
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                    712<F1>
<AVERAGE-NET-ASSETS>                             54268<F1>
<PER-SHARE-NAV-BEGIN>                             7.06<F1>
<PER-SHARE-NII>                                    .45<F1>
<PER-SHARE-GAIN-APPREC>                            .20<F1>
<PER-SHARE-DIVIDEND>                             (.45)<F1>
<PER-SHARE-DISTRIBUTIONS>                            0<F1>
<RETURNS-OF-CAPITAL>                                 0<F1>
<PER-SHARE-NAV-END>                               7.26<F1>
<EXPENSE-RATIO>                                   1.90<F1>
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
<FN>
<F1>Class B only.  All other data are fund level.
</FN>
        


</TABLE>

<TABLE> <S> <C>

<ARTICLE> 6
<SERIES>
   <NUMBER> 034
   <NAME> SELIGMAN HIGH-YIELD BOND SERIES CL. D
   <MULTIPLIER> 1000
       
<S>                             <C>
<PERIOD-TYPE>                  12-MOS
<FISCAL-YEAR-END>                          DEC-31-1996
<PERIOD-END>                               DEC-31-1996
<INVESTMENTS-AT-COST>                           779304
<INVESTMENTS-AT-VALUE>                          801179
<RECEIVABLES>                                    28293
<ASSETS-OTHER>                                     176
<OTHER-ITEMS-ASSETS>                                 0
<TOTAL-ASSETS>                                  829648
<PAYABLE-FOR-SECURITIES>                          1562
<SENIOR-LONG-TERM-DEBT>                              0
<OTHER-ITEMS-LIABILITIES>                         6285
<TOTAL-LIABILITIES>                               7847
<SENIOR-EQUITY>                                      0
<PAID-IN-CAPITAL-COMMON>                        803293
<SHARES-COMMON-STOCK>                            36597<F1>
<SHARES-COMMON-PRIOR>                            12949<F1>
<ACCUMULATED-NII-CURRENT>                            0
<OVERDISTRIBUTION-NII>                               0
<ACCUMULATED-NET-GAINS>                         (3367)
<OVERDISTRIBUTION-GAINS>                             0
<ACCUM-APPREC-OR-DEPREC>                         21875
<NET-ASSETS>                                    265528<F1>
<DIVIDEND-INCOME>                                    0
<INTEREST-INCOME>                                17951<F1>
<OTHER-INCOME>                                       0
<EXPENSES-NET>                                  (3138)<F1>
<NET-INVESTMENT-INCOME>                          14813<F1>
<REALIZED-GAINS-CURRENT>                          8372
<APPREC-INCREASE-CURRENT>                        13820
<NET-CHANGE-FROM-OPS>                            67458
<EQUALIZATION>                                       0
<DISTRIBUTIONS-OF-INCOME>                      (14813)<F1>
<DISTRIBUTIONS-OF-GAINS>                             0
<DISTRIBUTIONS-OTHER>                                0
<NUMBER-OF-SHARES-SOLD>                          29041<F1>
<NUMBER-OF-SHARES-REDEEMED>                     (6681)<F1>
<SHARES-REINVESTED>                               1288<F1>
<NET-CHANGE-IN-ASSETS>                          549519
<ACCUMULATED-NII-PRIOR>                              0
<ACCUMULATED-GAINS-PRIOR>                      (11739)
<OVERDISTRIB-NII-PRIOR>                              0
<OVERDIST-NET-GAINS-PRIOR>                           0
<GROSS-ADVISORY-FEES>                             1066<F1>
<INTEREST-EXPENSE>                                   0
<GROSS-EXPENSE>                                   3138<F1>
<AVERAGE-NET-ASSETS>                            164222<F1>
<PER-SHARE-NAV-BEGIN>                             6.96<F1>
<PER-SHARE-NII>                                    .64<F1>
<PER-SHARE-GAIN-APPREC>                            .30<F1>
<PER-SHARE-DIVIDEND>                             (.64)<F1>
<PER-SHARE-DISTRIBUTIONS>                            0<F1>
<RETURNS-OF-CAPITAL>                                 0<F1>
<PER-SHARE-NAV-END>                               7.26<F1>
<EXPENSE-RATIO>                                   1.92<F1>
<AVG-DEBT-OUTSTANDING>                               0
<AVG-DEBT-PER-SHARE>                                 0
<FN>
<F1>Class D only.  All other data are fund level.
</FN>
        


</TABLE>

INDEPENDENT AUDITORS' REPORT

The Board of Directors
Seligman High Income Fund Series, Inc.


In planning and  performing  our audit of the  financial  statements of Seligman
High Income Fund Series, Inc. (the "Fund") for the year ended December 31, 1996,
we  considered  its  internal  control  structure,   including   procedures  for
safeguarding  securities,  in order to determine our auditing procedures for the
purpose of expressing an opinion on the financial  statements and to comply with
the requirements of Form N-SAR, not to provide assurance on the internal control
structure.

The management of the Fund is responsible  for  establishing  and maintaining an
internal control  structure.  In fulfilling this  responsibility,  estimates and
judgments by management are required to assess the expected benefits and related
costs  of  internal  control  structure  policies  and  procedures.  Two  of the
objectives  of an internal  control  structure  are to provide  management  with
reasonable, but not absolute, assurance that assets are safeguarded against loss
from  unauthorized  use or  disposition  and that  transactions  are executed in
accordance with  management's  authorization and recorded properly to permit the
preparation  of financial  statements  in  conformity  with  generally  accepted
accounting principles.

Because of the inherent limitations in any internal control structure, errors or
irregularities may occur and not be detected. Also, projection of any evaluation
of the  structure  to  future  periods  is  subject  to the risk  that it may be
inadequate  because of changes in  conditions or that the  effectiveness  of the
design and operation may deteriorate.

Our consideration of internal control  structure would not necessarily  disclose
all matters in the internal control structure that might be material  weaknesses
under  standards  established  by the American  Institute  of  Certified  Public
Accountants. A material weakness is a condition in which the design or operation
of the  specific  internal  control  structure  elements  does not  reduce  to a
relatively  low level the risk that  errors or  irregularities  in amounts  that
would be  material in relation to the  financial  statements  being  audited may
occur and not be  detected  within a timely  period by  employees  in the normal
course of performing  their  assigned  functions.  However,  we noted no matters
involving the internal control structure,  including procedures for safeguarding
securities,  that we consider to be material  weaknesses  as defined above as of
December 31, 1996.

This report is intended solely for the information and use of management and the
Securites and Exchange Commission.



/s/ DELOITTE & TOUCHE LLP

January 31, 1997



<PAGE>







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