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 *
PALMER KAY J
  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, Chief Information Officer
(Last)
(First)
(Middle)
615 J.B. HUNT CORPORATE DRIVE
3. Date of Earliest Transaction (Month/Day/Year)
06/02/2008
(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 06/02/2008 06/02/2008 M   2,400 A $ 3.125 36,096 D  
Common Stock 06/02/2008 06/02/2008 M   12,000 A $ 5.65 48,096 D  
Common Stock 06/02/2008 06/02/2008 M   6,666 A $ 7.08 54,762 D  
Common Stock 06/02/2008 06/02/2008 S   3,845 D $ 34 50,917 D  
Common Stock 06/02/2008 06/02/2008 S   6,741 D $ 34 44,176 D  
Common Stock 06/02/2008 06/02/2008 S   1,254 D $ 34 42,922 D  
Common Stock 401(k)               12,616 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
Restricted Stock $ 0             07/15/2011 08/15/2015 Common Stock 44,000   44,000 D  
Right to Buy Stock Option $ 12.2             06/01/2009 10/23/2014 Common Stock 40,000   40,000 D  
Right to Buy Stock Option $ 20.365             06/01/2012 10/21/2015 Common Stock 40,000   40,000 D  
Right to Buy Stock Option $ 3.125 06/02/2008 06/02/2008 M     2,400 06/01/1999 10/08/2009 Common Stock 2,400 $ 3.125 0 D  
Right to Buy Stock Option $ 5.65 06/02/2008 06/02/2008 M     12,000 06/01/2002 02/19/2013 Common Stock 12,000 $ 5.65 36,000 D  
Right to Buy Stock Option $ 7.08 06/02/2008 06/02/2008 M     6,666 06/01/2004 10/24/2013 Common Stock 6,666 $ 7.08 26,670 D  

Reporting Owners

Reporting Owner Name / Address Relationships
 Director  10% Owner  Officer  Other
PALMER KAY J
615 J.B. HUNT CORPORATE DRIVE
LOWELL, AR 72745
      EVP, Chief Information Officer

Signatures

 Debbie Willbanks   06/03/2008
**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).

Note: File three copies of this Form, one of which must be manually signed. If space is insufficient, see Instruction 6 for procedure.

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