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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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) 06/02/2008 (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   4,000 A $ 3.125 157,363 D   Common Stock 06/02/2008 06/02/2008 M   20,000 A $ 3.475 177,363 D   Common Stock 06/02/2008 06/02/2008 M   8,888 A $ 7.08 186,251 D   Common Stock 06/02/2008 06/02/2008 M   4,000 A $ 7.215 190,251 D   Common Stock 06/02/2008 06/02/2008 S   4,000 D $ 33.91 186,251 D   Common Stock 06/02/2008 06/02/2008 S   4,734 D $ 33.91 181,517 D   Common Stock 06/02/2008 06/02/2008 S   20,000 D $ 33.91 161,517 D   Common Stock 06/02/2008 06/02/2008 S   1,874 D $ 33.91 159,643 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

(1)

06/20/2008

06/20/2008

Common Stock

$ 1

$ 1

D

Forward Sale Contract

$ 0.5

08/10/2009

08/10/2009

Common Stock

$ 1

$ 1

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

$ 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

Right to Buy Stock Option

$ 3.125

06/02/2008

06/02/2008

M

4,000

06/01/1999

10/08/2009

Common Stock

4,000

$ 3.125

2,872

D

Right to Buy Stock Option

$ 3.475

06/02/2008

06/02/2008

M

20,000

06/01/2001

11/02/2012

Common Stock

20,000

$ 3.475

60,000

D

Right to Buy Stock Option

$ 7.08

06/02/2008

06/02/2008

M

8,888

06/01/2004

10/24/2013

Common Stock

8,888

$ 7.08

35,560

D

Right to Buy Stock Option

$ 7.215

06/02/2008

06/02/2008

M

4,000

06/01/1999

06/15/2009

Common Stock

4,000

$ 7.215

0

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		06/03/2008
**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).
(1)	On August 10, 2006, Alfred C. Harper entered into a Specialized Term Appreciation Retention Sale (STARS) transaction with Bank of America whereby the holder will agree to sell Bank of America on a forward basis for settlement on or about August 2009 up to 40,000 shares of common stock to be delivered in accordance with a variable share delivery formula. The forward floor price on August 10, 2006 was $19.6344. The forward cap price will be $29.4516.
(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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