Ownership Submission
FORM 4
Check this box if no longer subject to Section 16. Form 4 or Form 5 obligations may continue. See Instruction 1(b).
UNITED STATES SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549

STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP OF SECURITIES

Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934, Section 17(a) of the Public Utility Holding Company Act of 1935 or Section 30(h) of the Investment Company Act of 1940
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(Print or Type Responses)
1. Name and Address of Reporting Person *
HARPER ALFRED C
   2. Issuer Name and Ticker or Trading Symbol
HUNT J B TRANSPORT SERVICES INC [JBHT] 		5. Relationship of Reporting Person(s) to Issuer
(Check all applicable)
_____ Director _____ 10% Owner
_____ Officer (give title below) __X__ Other (specify below)
EVP and Chief Operations Offic
(Last)
(First)
(Middle)
615 J.B. HUNT CORPORATE DRIVE		 3. Date of Earliest Transaction (Month/Day/Year)
06/20/2008
(Street)

LOWELL, AR 72745		 4. If Amendment, Date Original Filed(Month/Day/Year)
 6. Individual or Joint/Group Filing(Check Applicable Line)
_X_ Form filed by One Reporting Person
___ Form filed by More than One Reporting Person
(City)
(State)
(Zip)
Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned
1.Title of Security
(Instr. 3)		 2. Transaction Date (Month/Day/Year) 2A. Deemed Execution Date, if any (Month/Day/Year) 3. Transaction Code
(Instr. 8)		 4. Securities Acquired (A) or Disposed of (D)
(Instr. 3, 4 and 5)		 5. Amount of Securities Beneficially Owned Following Reported Transaction(s)
(Instr. 3 and 4)		 6. Ownership Form: Direct (D) or Indirect (I)
(Instr. 4)		 7. Nature of Indirect Beneficial Ownership
(Instr. 4)
Code V Amount (A) or (D) Price
Common Stock 06/20/2008 06/20/2008 J(1)   43,212 A $ 0 202,855 D  
Common Stock 06/20/2008 06/20/2008 J(1)   43,212 D $ 34.53 159,643 D  

Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.
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Table II - Derivative Securities Acquired, Disposed of, or Beneficially Owned
(e.g., puts, calls, warrants, options, convertible securities)
1. Title of Derivative Security
(Instr. 3)		 2. Conversion or Exercise Price of Derivative Security 3. Transaction Date (Month/Day/Year) 3A. Deemed Execution Date, if any (Month/Day/Year) 4. Transaction Code
(Instr. 8)		 5. Number of Derivative Securities Acquired (A) or Disposed of (D)
(Instr. 3, 4, and 5)		 6. Date Exercisable and Expiration Date
(Month/Day/Year)		 7. Title and Amount of Underlying Securities
(Instr. 3 and 4)		 8. Price of Derivative Security
(Instr. 5)		 9. Number of Derivative Securities Beneficially Owned Following Reported Transaction(s)
(Instr. 4)		 10. Ownership Form of Derivative Security: Direct (D) or Indirect (I)
(Instr. 4)		 11. Nature of Indirect Beneficial Ownership
(Instr. 4)
Code V (A) (D) Date Exercisable Expiration Date Title Amount or Number of Shares
Forward Sale Contract $ 0.5             08/10/2009 08/10/2009 Common Stock $ 1   $ 1 D  
Forward Sale Contract (1) 06/20/2008 06/20/2008 J(1)     $ 1 06/20/2008 06/20/2008 Common Stock $ 1 (1) $ 0 D  
Restricted Stock (2)             07/15/2011 08/15/2015 Common Stock 37,000   37,000 D  
Restricted Stock $ 0             07/15/2014 08/15/2015 Common Stock 17,000   17,000 D  
Right to Buy Stock Option $ 3.125             06/01/1999 10/08/2009 Common Stock 2,872   2,872 D  
Right to Buy Stock Option $ 3.475             06/01/2001 11/02/2012 Common Stock 60,000   60,000 D  
Right to Buy Stock Option $ 7.08             06/01/2004 10/24/2013 Common Stock 35,560   35,560 D  
Right to Buy Stock Option $ 12.2             06/01/2009 10/23/2013 Common Stock 48,000   48,000 D  
Right to Buy Stock Option $ 20.365             06/01/2012 10/21/2015 Common Stock 48,000   48,000 D  

Reporting Owners

Reporting Owner Name / Address Relationships
 Director  10% Owner  Officer  Other
HARPER ALFRED C
615 J.B. HUNT CORPORATE DRIVE
LOWELL, AR 72745		       EVP and Chief Operations Offic

Signatures

 Debbie Willbanks   06/23/2008
**Signature of Reporting Person Date

Explanation of Responses:

* If the form is filed by more than one reporting person, see Instruction 4(b)(v).
** Intentional misstatements or omissions of facts constitute Federal Criminal Violations. See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a).
(1) On June 20, 2008 Alfred C. Harper's Specialized Term Appreciation Retention Sale (STARS) transaction with Bank of America (BOA) filed on a Form 4 dated July 22, 2005 matured. Pursuant to the Contract, Mr. Harper was obligated to sell up to 60,000 shares of Common Stock of J.B. Hunt Transport Services, Inc. The actual number of shares Mr. Harper was obligated to deliver was dependent on the closing marker price ("Settlement Price") of the Common Stock on June 20, 2008. The closing price on June 20, 2008 was $34.53, which resulted in Mr. Harper delivering a total of 43,212 shares of Common Stock to BOA to satisfy his obligation. BOA has released Mr. Harper from his obligation and Mr. Harper will keep the remaining 16,788 shares.
(2) The Resrtricted Stock award, approved by the Company's Compensation Committee, vests over a five-year period. There is no purchase price required by the recipient in connection with this award. Termination of the recipient's employment for any reason other than death or disability shall result in forfeiture of the award on the date of termination.

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