U.S. SECURITIES AND EXCHANGE COMMISSION
                              WASHINTON, D.C. 20549

                                    FORM N-PX

               ANNUAL REPORT OF PROXY VOTING RECORD OF REGISTERED
                         MANAGEMENT INVESTMENT COMPANY

Investment Company Act file number 811-4103

Seligman High Income Fund Series on behalf of its Seligman High-Yield Bond
Series
(Exact name of registrant as specified charter)

100 Park Avenue, New York, NY 10017
(Address of principal executive offices) (Zip code)

Lawrence P. Vogel, Treasurer
100 Park Avenue, New York, NY 10017
(Name and address of agent for service)

Registrant's telephone number, including area code: 212-850-1864
                                                    Toll Free: 800-221-2450

Date of fiscal year end: December 31, 2004

Date of reporting period: July 1, 2003 - June 30, 2004

Form N-PX is to be used by a registered management investment company, other
than a small business investment company registered on Form N-5 (ss.ss. 239.24
and 274.5 of this chapter), to file reports with the Commission, not later than
August 31 of each year, containing the registrant's proxy voting record for the
most recent twelve-month period ended June 30, pursuant to section 30 of the
Investment Company Act of 1940 and rule 30b1-4 thereunder (17 CFR 270.30b1-4).
The Commission may use the information provided on Form N-PX in its regulatory,
disclosure review, inspection, and policymaking roles.

A registrant is required to disclose the information specified by Form N-PX, and
the Commission will make this information public. A registrant is not required
to respond to the collection of information contained in Form N-PX unless the
Form displays a currently valid Office of Management and Budget ("OMB") control
number. Please direct comments concerning the accuracy of the information
collection burden estimate and any suggestions for reducing the burden to the
Secretary, Securities and Exchange Commission, 450 Fifth Street, NW, Washington,
DC 20549-0609. The OMB has reviewed this collection of information under the
clearance requirements of 44 U.S.C. ss. 3507.



Seligman High-Yield Bond Portfolio

****** No information for the entered criteria ******



                        SELIGMAN HIGH INCOME FUND SERIES
                         Seligman High-Yield Bond Series

Pursuant to this requirement of the Investment Company Act of 1940, the
registrant has duly caused this report to be signed on its behalf by the
undersigned, thereunto duly authorized on the 31st day of August, 2004.

Signature                                    Title
- ---------------------------                  -----------------------------------


/s/ Brian T. Zino                            Chief Executive Officer
- ---------------------------                  (Principal Executive Officer)
Brian T. Zino