Exhibit (a) (1) (J)


                        JERRY MOYES EXTENDS TENDER OFFER
                     FOR SIMON TRANSPORTATION SERVICES INC.

                 FOR IMMEDIATE RELEASE: WEDNESDAY, JUNE 22, 2000

     Phoenix,  Az. (PR  Newswire)--Jerry  Moyes  announced today that his tender
offer for all  outstanding  shares of Class A and Class B Common  Stock of Simon
Transportation Services Inc. (Nasdaq: SIMN) at $7.00 per share net to the seller
in cash has been extended  until 5:00 p.m.,  Eastern  time, on Friday,  June 30,
2000.  Approximately  1.3 million  shares had been  tendered  through 5:00 p.m.,
Eastern time, June 21, 2000. The consent solicitation also remains ongoing.

     Mr. Moyes  stated:  "I am pleased by the response to my offer to date.  The
Simon Board and I are  discussing  a  procedure  for  allowing me due  diligence
access to information  concerning  the company and other matters  relating to my
tender  offer  and  consent  solicitation.   I  expect  a  resolution  of  these
discussions soon."

     "I am also pleased to report that on June 16, the Department of Justice and
Federal Trade Commission  granted early  termination of the waiting period under
the Hart-Scott-Rodino  Antitrust  Improvements Act. This clears the major hurdle
to satisfying the Antitrust Condition of my offer," Mr. Moyes continued.

     Other Important Information:

     This press release is for information  purposes only and is not an offer to
buy or the  solicitation  of an  offer  to  sell  any of  the  shares  of  Simon
Transportation  and is not a solicitation  of a proxy or written  consents.  The
offer to buy Simon  Transportation  shares is being  made only  pursuant  to the
Offer  to  Purchase  and  related  materials  that Mr.  Moyes  has sent to Simon
Transportation  stockholders  and has filed as an exhibit  to the  tender  offer
statement.  The tender offer  statement and the consent  solicitation  materials
contain important  information that  stockholders  should consider before making
any decision  regarding their shares. You can obtain the tender offer statement,
as well as other  filings  containing  information  about  Mr.  Moyes  and Simon
Transportation,  without  charge,  at the Securities  and Exchange  Commission's
Internet site (www.sec.gov).  Copies of the tender offer statement and other SEC
filings also will be available,  without charge,  from the Information Agent for
the offer, as identified below:

     The information Agent for the Offer and the Consent Solicitation is:

                            MacKenzie Partners, Inc.
                                156 Fifth Avenue
                               New York, NY 10010
                          (212) 929-5500 (call collect)
                          Call Toll-Free (800) 322-2885
                            Fax Number (212) 929-0308