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 * CONGDON EARL E   2. Issuer Name and Ticker or Trading Symbol OLD DOMINION FREIGHT LINE INC/VA [ODFL] 5. Relationship of Reporting Person(s) to Issuer (Check all applicable) __X__ Director _____ 10% Owner __X__ Officer (give title below) _____ Other (specify below) Executive Chairman (Last) (First) (Middle) C/O OLD DOMINION FREIGHT LINE, INC., 500 OLD DOMINION WAY 3. Date of Earliest Transaction (Month/Day/Year) 05/26/2016 (Street) THOMASVILLE, NC 27360 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 05/26/2016   A   5,334 A $ 0 5,334 D   Common Stock               39,794 I By 401(k) plan Common Stock               734,540 (1) I By Earl E. Congdon Trust - 1990 Common Stock               209,121 (2) I By wife as trustee of the Kathryn W. Congdon Trust - 1990 Common Stock               392,330 I By Earl. E Congdon Grantor Retained Annuity Trust 2014 Common Stock               235,398 I By wife as trustee of the Kathryn W. Congdon Grantor Retained Annuity Trust 2014 Common Stock               645,976 I By Earl E. Congdon GRAT Remainder Trust

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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

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
CONGDON EARL E C/O OLD DOMINION FREIGHT LINE, INC. 500 OLD DOMINION WAY THOMASVILLE, NC 27360	X		Executive Chairman

Signatures

/s/ Ross H. Parr, by Power of Attorney		05/31/2016
**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)	Reflects a transfer of 2,442 shares from the Earl E. Congdon Revocable Trust - 1990 as follows: 222 shares to each of the (1) David S. Congdon Revocable Trust Dated 12/3/91; (2) Karen C. Pigman Revocable Trust Restated 6/8/2011; (3) Audrey Lee Congdon Revocable Trust Dated 2/17/05; (4) Irrevocable Trust Dated 12/18/98 fbo Kathryn Congdon; (5) Irrevocable Trust Dated 12/18/98 fbo Marilyn Congdon; (6) Irrevocable Trust Dated 12/18/98 fbo Ashlyn Congdon; (7) Irrevocable Trust Dated 12/18/98 fbo Melissa Penley; (8) Irrevocable Trust Dated 12/18/98 fbo Matthew Penley; (9) Irrevocable Trust Dated 12/18/98 fbo Mark Penley; (10) Irrevocable Trust Dated 12/18/98 fbo Megan Yowell; and (11) Irrevocable Trust Dated 12/18/98 fbo Seth Yowell.
(2)	Reflects a transfer of 2,442 shares from the Kathryn W. Congdon Revocable Trust - 1990 in the same manner as the transfer described in footnote (1).

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