May 26, 2000

Dear Shareholder:

         In July of l999, Jerry Moyes, and his related parties,  began acquiring
shares of Simon Transportation Services Inc. in the public market. Mr. Moyes has
indicated  that he and  his  group  now own  approximately  ten  percent  of the
Company's  stock.  Mr. Moyes has  expressed a desire to acquire more shares.  He
recently  offered to acquire  shares from me and my family members for $7.00 per
share,  and  asked  our  Company  Board  of  Directors  to waive  the  statutory
provisions  of the  laws of the  State of  Nevada  commonly  referred  to as the
anti-takeover  statutes,  in order to permit him to  conduct a tender  offer for
shares held by other  shareholders at $7.00 a share. Mr. Moyes has also asked me
to  convert  my shares of the Company common stock into shares of Class A Common
Stock.

         On May 23,  Mr. Moyes  initiated a formal  tender offer to purchase all
outstanding  shares of Class A and B Common Stock at a price of $7.00 per share.
I, my son,  Kelle A.  Simon,  who is the  Company's  President,  all other Simon
family members,  CFO Alban Lang, and the other members of the Board of Directors
who are  shareholders  have  determined  that we will not sell our  stock in the
Company to Mr. Moyes  group.  Nor will I agree to any  alteration  in the voting
rights which accompany my Class B shares.

         Our management deeply believes that there are many positives concerning
Simon  Transportation  operations  at the present  time,  which were outlined in
detail in the Press  Release of April l2,  2000.  The  Company  has  lowered its
operating  ratio  over the last  four  quarters  by a total  of 6.5  points.  We
achieved  a record  average  haul in March of 2000,  over  1100  miles per load,
generating  10,533 miles per seated truck. The Company returned to profitability
in the month of March.  The  average  number of unseated  trucks has  decreased,
deadhead has  decreased,  and pricing on new  equipment has been locked in, with
advantageous  trades for the next two years. By August of this year, our debt on
the terminal  facilities in West Valley City, Utah and Atlanta will be paid, and
all Company  properties  will be debt free.  Our management is optimistic and we
believe  that the  Company  has a bright  future.  The  Company is not under any
financial  pressure that would  require it to enter into a  transaction  at this
time.

         The  Board  of  Directors  invited Mr. Moyes to  accept a position as a
Director of Simon Transportation Services, but he declined to do so.

         The Board of Directors has elected not to make any recommendation  with
respect to Mr. Moyes' offer,  and intends to remain  neutral with respect to the
offer.  The Board of Directors,  in the exercise of its fiduciary  duties,  does
not,  however,  wish to stand in the way of any other  shareholders  who may for
whatever  reason  determine  that it would be in their  best  interests  to sell
shares to the  Moyes  group at this  time.  Therefore  the  Board has  adopted a
resolution that will allow Mr. Moyes to make a tender offer to shareholders  for
a period of l20 days for  shares  at $7.00 per  share,  waiving  any  applicable
Nevada anti-takeover statutes for that purpose.

         The Board of Directors has not made a  determination  as to whether the
tender offer price proposed by Mr. Moyes is fair to the shareholders.  The stock
closed on May 22nd at $5  5/8ths  per  share.  The book  value of the  Company's
shares  at  March  3l,  2000  was  $9.l5.   Each  shareholder  should  carefully
determine whether to accept Mr. Moyes' offer.

         As  required  by  the  regulations  of  the  Securities  and   Exchange
Commission, the Company has prepared a Solicitation/Recommendation  Statement on
Schedule  14D-9,  which  describes  the tender  offer and  the  response of  the
Company's  Board of  Directors in  greater detail.  I am enclosing a copy of the
Solicitation/Recommendation   Statement  and  would  encourage  you to carefully
review   it.     Please   also  note   that   this   letter   contains   certain
"forward-looking" statements which are subject to  risks and uncertainties  that
could  cause  actual  results to  differ from  those projected.  You should also
review and consider the various  disclosures made by the Company in its  reports
to its  shareholders  and filings with the Securities and Exchange Commission.

         If  you  have  any  specific questions that we might be able to answer,
please  feel  free  to  write  Kelle  A. Simon,  President  Simon Transportation
Services Inc., P.O. Box  26297,  Salt Lake City, Utah  84l26 0297;  or fax us at
80l 924 7327; or contact us by E-mail, kelle_simon@simn.com.

         We appreciate all of our shareholders.

                                   Sincerely,

                                   /s/ Dick Simon

                                   Dick Simon, Chairman and CEO