PRICE T ROWE NEW HORIZONS FUND INC
497, 1996-06-06
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          T. ROWE PRICE
          _________________________________________________________________
          NEW HORIZONS FUND, INC.
          Supplement to Prospectus dated May 1, 1996
          _________________________________________________________________

          The following paragraph will be added before the paragraph
          entitled "How can I decide if the fund is appropriate for me?" on
          page 5 of the Prospectus in the section entitled "Fund, Market,
          and Risk Characteristics: What to Expect."

          Who can purchase fund shares?

          o    The fund will not accept new accounts after 4:00 p.m. on
               June 18, 1996, except for defined contribution retirement
               plan accounts (including SEP-IRAs).  The fund will not
               accept new IRA accounts but will permit persons to effect a
               direct rollover from a qualified retirement plan and open a
               new IRA account in the fund.

          o    Shareholders who held shares prior to the closing are not
               affected.  Purchases of additional shares are permitted for
               all existing accounts.

          o    The closing does not restrict shareholders from making
               redemptions from their fund accounts.

          o    When deemed to be in the fund's best interests, the fund
               reserves the right in appropriate cases to extend the
               offering to other persons, to restrict sales further, or to
               withdraw the offering altogether, all without notice.

          _________________________________________________________________
          _______

          The date of this supplement is June 6, 1996.
          _________________________________________________________________
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