SCHEDULE 14A INFORMATION

                  Proxy Statement Pursuant to Section 14(a) of
            the Securities Exchange Act of 1934 (Amendment No.    )

    Filed by the Registrant /x/
    Filed by a Party other than the Registrant / /

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    /x/  Definitive Proxy Statement
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    / /  Soliciting  Material  Pursuant  to  Section  240.14a-11(c)  or  Section
         240.14a-12

                        TRANSAMERICA INCOME SHARES, INC.
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                (Name of Registrant as Specified In Its Charter)

- --------------------------------------------------------------------------------
    (Name of Person(s) Filing Proxy Statement, if other than the Registrant)

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     Item 22(a)(2) of Schedule 14A.
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/ /  Fee  computed  on   table  below   per  Exchange   Act  Rules   14a-6(i)(4)
     and 0-11.
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                        TRANSAMERICA INCOME SHARES, INC.
                       550 North Brand Blvd., Suite 1850,
                           Glendale, California 91203

                              PROXY STATEMENT AND
                            NOTICE OF ANNUAL MEETING

To the shareholders:

The  annual meeting of shareholders will be  held in the offices of Transamerica
Investment Services, Inc.,  1150 South  Olive Street, 27th  floor, Los  Angeles,
California at 9:00 a.m. on Wednesday, July 26, 1995, to vote on:

    (1) Election of a board of five directors;

    (2)  To approve or disapprove continuation  of the Management and Investment
        Advisory Agreement (the "Agreement");

    (3) Ratification of Ernst & Young LLP as independent auditors.

    Your shares will be voted as you instruct. If your card is not marked,  your
shares  will be voted for election of the director nominees and in favor of each
unmarked item. You may revoke your vote before the meeting by written notice  to
Transamerica  Income  Shares  (the "Company")  or  by  voting in  person  at the
meeting. If other business arises, the  persons named as proxies are  authorized
to vote for you.

    Shareholders  of record on May  31, 1995, are entitled  to one vote for each
share owned. This proxy is solicited by the Board of Directors, and the cost  is
paid by the Company. Fiduciaries will be requested to forward proxy materials to
their  principals, and they will be  reimbursed for out-of-pocket expenses. This
statement will be mailed  on or about  June 7, 1995.  The Company's most  recent
annual  report for  the fiscal  year ended March  31, 1995,  has been previously
mailed to shareholders. It is available without charge from the transfer  agent,
Chemical  Mellon  Shareholder Services,  111  Founders Plaza,  Suite  1100, East
Hartford, CT 06108, telephone toll free: 1-800-288-9541.

    HELP YOUR COMPANY SAVE THE COST  OF FOLLOW-UP LETTERS BY PROMPTLY  RETURNING
THE PROXY CARD.

    1.   DIRECTORS.  The persons named as proxies intend to vote to re-elect the
five persons currently serving  as directors, unless authority  to vote for  the
election  of all or  specified individuals is  withheld by so  marking the proxy
card. If any nominees are unable to serve, the persons named as proxies may vote
for other persons  or vote to  fix the number  of directors at  less than  five.
Election  is by a  majority vote of  the shares represented  at the meeting. The
mailing address of each nominee  is Box 2438, Los  Angeles, CA 90051. The  name,
age,  principal occupation for the  past five years and  year of election of the
nominees, who have consented to serve if elected, are:

    DONALD E.  CANTLAY,  73,  Managing General  Partner  of  Cee'n'Tee  Company.
(1981)(2)(4)

    RICHARD  N. LATZER,  58, President  and Director  of Transamerica Investment
Services. Senior Vice  President and  Chief Investment  Officer of  Transamerica
Corporation. (1989)(1)

    DEWAYNE W. MOORE, 81, Retired Senior Vice President, Chief Financial Officer
and Director of Guy F. Atkinson Company of California. (1980)(3)(4)

    GARY  U. ROLLE,  53, President and  Chairman of the  Company. Executive Vice
President, Chief  Investment Officer  and  Director of  Transamerica  Investment
Services. (1988)(1)(2)

    PETER J. SODINI, 54, Associate, Freeman Spogli & Co. (1988)(2)(3)(4)

(1)  "Interested  person" as defined  in the Investment Company  Act of 1940, as
     amended ("the  1940  Act"). These  directors  receive no  fees  or  expense
     reimbursements from the Company.

(2)  Member  of the  Corporate Responsibility Committee,  which reviews nominees
     for  appointment  or  election  as  directors.  This  Committee   considers
     nominations by

     shareholders,  which should be submitted in writing to the Secretary at the
     above address.

(3)  Member of the Audit Committee, which recommends the selection of  auditors.
     This Committee reviews the proposed scope of the audit, the results of both
     audit and non-audit services and the fees for those services and supervises
     internal controls. The Committee held one meeting during the fiscal year.

(4)  Not  an "interested  person" as  defined in  the 1940  Act. These directors
     receive $1,000 for  each Board  meeting attended, $250  for each  Committee
     meeting attended and reimbursement for travel expenses.

DIRECTOR NOMINEE COMPENSATION



                                            TOTAL
                                           COMPEN-
                             AGGREGATE   SATION FOR
                              COMPEN-    ALL RELATED
                            SATION FROM  INVESTMENT
DIRECTOR NOMINEES             COMPANY     COMPANIES
- --------------------------  -----------  -----------
                                   
Donald E. Cantlay.........   $   4,000    $   8,000
Richard N. Latzer.........      -0-          -0-
DeWayne W. Moore..........       4,250        8,250
Gary U. Rolle.............     -0-          -0-
Peter J. Sodini...........       4,250        8,250


    Transamerica  Income  Shares  (the  "Company")  is  a  closed-end investment
Company traded on the  New York Stock  Exchange. Each of  the nominees are  also
members  of the Board of Managers of variable annuity separate account funds "B"
and "C" sponsored by Transamerica Occidental Life Insurance Company, which  pays
the  director fees for those two funds.  Funds B and C are registered investment
companies. Because  the Company  and funds  B and  C are  advised by  affiliated
companies wholly owned by Transamerica Corporation, total compensation for these
related investment companies is included in the Total Compensation column.

    None  of the director  nominees currently receive  any pension or retirement
benefits from the Company and thus will  not receive any benefits funded by  the
Company upon retirement.

    The  above data is for the Company's fiscal year, April 1, 1994 to March 31,
1995. During that year some of the above directors also served as a director  of
Transamerica  Cash  Reserve  ("Fund"), a  money  market mutual  fund  advised by
Transamerica Fund  Management Company  ("TFMC"), a  wholly owned  subsidiary  of
Transamerica  Corporation.  Transamerica  Investment  Services,  Inc.  served as
sub-adviser to  the Fund  during a  portion  of the  Company's fiscal  year.  In
December,  1994, TFMC was acquired  by a subsidiary of  John Hancock Mutual Life
Insurance Company, John  Hancock Advisers became  the Fund's investment  adviser
and the Fund was renamed John Hancock Cash Reserve. The Total Compensation table
above  includes compensation for director  fees from the Fund  paid prior to the
acquisition.

    The Board  held four  meetings  during the  fiscal  year. Each  nominee  for
director attended 75% or more of all Board and applicable committee meetings. At
the  Company's fiscal year end on March  31, 1995, the following directors owned
Company shares, including shares held in  family trusts: Mr. Cantlay 15,448  and
Mr.  Moore 1,000,  which holdings, together  with shares owned  by the Company's
officers, aggregate  less than  1%  of shares  outstanding.  Also on  that  date
Transamerica  Occidental Life Insurance Company owned  479,575 shares or 7.6% of
shares outstanding  and the  Depository Trust  Company (  a securities  clearing
corporation)  held of record  but not beneficially 3,487,084  shares or 55.2% of
the outstanding shares. No person, to the Company's knowledge, owns beneficially
more than 10% of the Company's shares. At  March 31, 1995, and on May 31,  1995,
the  record  date  for  voting  at the  annual  meeting,  6,318,771  shares were
outstanding.

    Section 30(f) of the 1940 Act requires the Company's officers, directors and
investment adviser, the affiliated  persons of the  investment adviser, and  the
beneficial owners of more than ten percent of the Company's common stock to file
initial  reports  of ownership  and  reports of  changes  in ownership  with the
Securities and  Exchange Commission  and the  New York  Stock Exchange,  and  to
provide  copies of  these reports to  the Company.  Based solely on  a review of
copies of reports  received by it  and of written  representations by  reporting
persons  that  no additional  reports  are due,  the  Company believes  that the
requirements for Section  30(f) filing  and reporting of  changes of  beneficial
ownership during the fiscal year ended March 31, 1995, were satisfied.

    2.   MANAGEMENT AND INVESTMENT  ADVISORY AGREEMENT.  Transamerica Investment
Services, Inc.,  (the  "Adviser"), a  wholly  owned subsidiary  of  Transamerica
Corporation,   600  Montgomery   Street,  San  Francisco,   CA  94111,  provides
management, investment  advisory and  research services  to the  Company for  an
annual  fee  of one-half  of one  percent  of the  Company's average  net assets
(accrued weekly and  payable monthly),  and pays for  office space,  facilities,
equipment  and salaries  of the Company's  officers. The Company  pays all other
expenses, including taxes, brokerage, transfer agent fees, custodial fees, stock
exchange listing costs, shareholder reports,  postage, auditing and legal  fees.
The  Adviser guarantees that the  Company's expenses shall not  exceed 1 1/2% of
the first $30 million  of average net  assets and 1% over  $30 million. If  that
limit is exceeded, the Adviser will pay the excess to the Company. The Agreement
must be renewed annually by the directors or a majority of the Company's shares,
and  by a majority of the directors  who are not "interested persons" of parties
to the Agreement. The Agreement was entered  into in 1972 and was last  ratified
by shareholders at the annual meeting of shareholders held on July 19, 1994.

    The  directors of the  Company, and those directors  who are not "interested
persons" of parties to the Agreement,  on May 17, 1995, approved continuance  of
the  Agreement and recommended to shareholders ratification of that continuance.
In connection with  its recommendation that  shareholders ratify continuance  of
the  Agreement, the Board evaluated such  factors as the Adviser's experience in
providing  various  financial  services  and  investment  advice  to  investment
companies  and other  clients, as well  as its  reputation, integrity, financial
responsibility and stability. The Board is provided and reviews on a  continuing
basis,  the Adviser's  outlook for  the economy,  productivity and  fixed income
investments; the  Company's  portfolio  holdings  and  investment  transactions;
characteristics   of  the   portfolio  including  quality,   maturity  and  call
protection; revenues  received from  the debt  securities held  and expenses  of
operations;  changes in the  Company's net asset value,  earnings and yield; the
Company's performance and its expenses  as compared to other similar  companies;
the  quality  and experience  of the  Adviser's officers  and employees  and the
Adviser's income,  expenses, profitability  and balance  sheet. Based  upon  its
review,  the Board concluded  that the terms  of the Agreement  and the fees are
fair and reasonable, in light of usual  and customary terms and charges made  by
others  for comparable  services, and that  it is  in the best  interests of the
Company and its shareholders to renew the Agreement. Shareholder ratification is
by a vote of 67% or more of the  shares present at the meeting if more than  50%
of the shares are present or represented by proxy, or a vote of more than 50% of
the shares, whichever is less.

    At the end of the fiscal year, March 31, 1995, the Company had net assets of
$147,669,572,  and paid  fees of $730,010  to the Adviser  for advisory services
during the year. Advisory fees in the  fiscal years ended in 1994 and 1993  were
$813,994 and $575,565.

    The  directors of the Adviser  with ages indicated are  Kent L. Colwell, 64,
Vice President,  Real Estate  Services of  Transamerica Corporation;  Thomas  J.
Cusack,  39, Senior Vice President of Transamerica Corporation; Richard H. Finn,
60, Executive Vice President of Transamerica Corporation and President and Chief
Executive Officer of Transamerica Finance  Group; Edgar H. Grubb, 56,  Executive
Vice President and Chief Financial Officer of Transamerica Corporation; Frank C.
Herringer,   52,  President   and  Chief   Executive  Officer   of  Transamerica
Corporation; Richard N.  Latzer, 58, President  of the Adviser  and Senior  Vice
President  and Chief Investment Officer of Transamerica Corporation; and Gary U.
Rolle, 53, Executive Vice President and Chief Investment Officer of the Adviser.
In addition to Messrs. Latzer and Rolle (above) the officers of the Adviser are:
Susan A.  Silbert,  51,  Senior  Vice President;  Sharon  K.  Kilmer,  37,  Vice
President and J. Richard Atwood, 35, Vice President, Chief Financial Officer and
Secretary.  Each of the above five persons  who are officers of the Company have
held the positions shown or  executive positions in Transamerica Corporation  or
Transamerica  subsidiaries for more than five  years except Mr. Atwood who, from
1988 to 1995 was Vice President  and Controller of First Pacific Advisors,  Inc.
The Adviser's mailing address is Box 2438, Los Angeles, CA 90051.

    Decisions  to buy and sell securities,  selection of brokers or dealers, and
negotiation of commissions are made by the Adviser. Securities orders are placed
with brokers or dealers selected for  their ability to give execution at  prices
and  commission rates (if any) favorable to  the Company and, in some instances,
for the ability to provide research and  other services. As part of the  process
of  brokerage allocation, the adviser is authorized to pay commissions which may
exceed what  another  broker  might  have  charged.  If  portfolio  business  is
transacted  with brokers or dealers  which provide research, comparative Company
performance data, pricing quotations,  or other services,  the Company pays  any
cost  of such services and the Adviser and other investment companies advised by
the Adviser may benefit. Portfolio debt  securities normally are bought from  or
sold  to  an  underwriter or  market  maker,  and the  dealer's  compensation is
normally included in the price of the security.

    Neither the Adviser  nor any  affiliate receives  any brokerage  commissions
from  the Company. During the fiscal years ended March 31, 1993, 1994, and 1995,
the Company did not  pay any brokerage commissions,  and the portfolio  turnover
rate was 32%, 15% and 15%, respectively.

    3.   AUDITORS.   On  May 17,  1995, the  Audit Committee  and the directors,
including a majority who  are not "interested persons,"  selected Ernst &  Young
LLP  as the independent auditors for the current fiscal year. Ratification is by
a majority of the  shares represented at the  annual meeting. Services  provided
include  examination of the annual financial  statements, meeting with the Audit
Committee, and review of federal income tax returns. Ernst & Young LLP will  not
attend the annual meeting.

    SHAREHOLDER PROPOSALS.  Any shareholder proposal intended to be presented at
the 1996 annual meeting of shareholders must be received by the Company no later
than February 5, 1996, for inclusion in the proxy statement.

For the Board of Directors,

Thomas M. Adams,
Secretary

June 7, 1995


PROXY
                        TRANSAMERICA INCOME SHARES, INC.
                  ANNUAL MEETING OF SHAREHOLDERS, JULY 26, 1995


     DONALD E. CANTLAY, DeWAYNE W. MOORE, and GARY U. ROLLE or any one of them,
are authorized to represent me and vote my shares of stock at the Annual Meeting
of Transamerica Income Shares, Inc. to be held in the offices of Transamerica
Investment Services, Inc., 1150 South Olive Street, 27th Floor, Los Angeles,
California on July 26, 1995 at 9:00 A.M. or at any adjournments on the matters
on the reverse side and on any other matters which may come before the meeting.

                                                  (Continued on reverse side)


THIS PROXY WILL BE VOTED AS YOU SPECIFY BELOW.  IF NO SPECIFICATION IS MADE, THE
PROXY WILL BE VOTED FOR ITEMS 1, 2 AND 3.




1.   Election of the Director Nominees listed below (except as marked)


FOR       WITHHOLD       D. Cantlay, R. Latzer, D. Moore, G. Rolle and P. Sodini
          AUTHORITY

/ /         / /
(INSTRUCTION:  To withhold authority to vote for any individual nominee, write
that nominee's name on the space provided below.)


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2.   Continuance of the Management and       3.   Ratification of Ernst & Young
Investment Advisory Agreement                LLP as Independent Auditors


FOR       AGAINST        ABSTAIN             FOR       AGAINST        ABSTAIN

/ /        / /             / /               / /         / /           / /


                              THIS PROXY IS SOLICITED ON BEHALF OF THE BOARD OF
                              DIRECTORS.  HELP YOUR COMPANY SAVE THE EXPENSE OF
                              ANOTHER MAILING BY RETURNING THIS PROXY PROMPTLY.

                              Dated______________________________________, 1995

                              _________________________________________________
                              Signature



                              _________________________________________________
                              Signature if held jointly
                              (Executors and Trustees should so indicate)
"PLEASE MARK INSIDE BLUE BOXES SO THAT DATA
PROCESSING EQUIPMENT WILL RECORD YOUR VOTES"