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                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549
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                       Simon Transportation Services Inc.
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      Board of Simon Transportation Services Opposes Moyes Consent Solicitation;
      Remains Neutral Toward Moyes Tender

SALT LAKE CITY,  June 13  /PRNewswire/ -- Simon  Transportation  Services,  Inc.
(Nasdaq:  SIMN) today announced that its Board of Directors  opposes the consent
solicitation that Jerry Moyes recently commenced in an effort to take control of
the Company's  Board of Directors.  The Company also announced that its Board of
Directors will continue to remain neutral to Mr. Moyes' tender offer to purchase
shares of Simon Class A and Class B Common Stock at a price of $7.00 per share.

Richard D. Simon, the Company's  Chairman and Chief Executive  Officer,  stated,
"The Board of Directors strongly opposes Mr. Moyes' consent solicitation because
it violates the good faith in which the Board  cooperated  with Mr. Moyes in the
tender offer and, more importantly,  could give Mr. Moyes control of the Company
without his purchasing any additional  shares." Mr. Simon explained,  "Mr. Moyes
owns a mere 10.8% of the Company and, if successful in his  solicitation,  could
acquire control of the Company without purchasing any tendered shares."

Mr. Simon continued, "Mr. Moyes' consent solicitation is not  necessary  for the
tender offer to  succeed.  The  Company's  Board of Directors has already waived
applicable anti-takeover statutes, has announced that it will not stand in   the
way of the tender offer and has otherwise cooperated with Mr. Moyes.  The  Board
continues to remain neutral with respect to the tender offer."

The Company indicated that it will soon distribute  materials to stockholders to
enable them to revoke any consents they have provided Mr. Moyes.

Founded in 1955,  Simon  Transportation  Services is a North American  truckload
carrier specializing in  temperature-controlled  delivery of products throughout
the United States, Canada and Mexico.

Note:  This  press  release  is for  information  purposes  only  and is not the
solicitation  of  revocations  of written  consents.  The  revocation of consent
solicitation   materials,   which  are  forthcoming,   will  contain   important
information  that  stockholders  should  consider  before  making  any  decision
regarding their shares. Additional information about the Company may be accessed
at the  Company's  Internet  site  (www.simn.com)  and the Internet  site of the
Securities and Exchange Commission (www.sec.gov).

CONTACT:  Alban  B.  Lang,  Chief  Financial  Officer  of  Simon  Transportation
Services, 801-924-7000;  or  Shirley  Thompson, President, or Rita Tuttle, V.P.,
Director of Investor Relations, or Bevo Beaven, Senior Account Executive, all of
Carl Thompson Associates, Inc., 800-959-9677, for Simon Transportation Services.