Exhibit 24 POWER OF ATTORNEY KNOW ALL MEN BY THESE PRESENTS, that each of the undersigned, a Director or Executive Officer of Burlington Industries, Inc., a Delaware Corporation, does hereby constitute and appoint each of John D. Englar and Alice Washington Grogan as his or her true and lawful attorney and agent to execute and deliver a Registration Statement on Form S-8 or such other form as may be appropriate, including any amendments thereto, to register 150,000 shares of the Common Stock of the Company, par value $0.01 per share, for issuance pursuant to an executive award agreement, pursuant to the requirements of the Securities Act of 1933. Signature Title Date --------- ----- ---- /s/ George W. Henderson, III Director, Chairman of the June 1, 2000 - ---------------------------- Board and Chief Executive Officer George W. Henderson, III (Principal Executive Officer) /s/ Charles E. Peters, Jr. Senior Vice President and June 1, 2000 - -------------------------- Chief Financial Officer Charles E. Peters, Jr. (Principal Financial Officer) /s/ Carl J. Hawk Controller June 1, 2000 - ---------------- (Principal Accounting Officer) Carl J. Hawk /s/ Jerald A. Blumberg Director June 1, 2000 - ---------------------- Jerald A. Blumberg /s/ John D. Englar Director June 1, 2000 - ------------------ John D. Englar /s/ John G. Medlin, Jr. Director June 1, 2000 - ----------------------- John G. Medlin, Jr. /s/ Nelson Schwab III Director June 1, 2000 - --------------------- Nelson Schwab III /s/ Abraham B. Stenberg Director June 1, 2000 - ----------------------- Abraham B. Stenberg /s/ Theresa M. Stone Director June 1, 2000 - -------------------- Theresa M. Stone /s/ W. Barger Tygart Director June 1, 2000 - -------------------- W. Barger Tygart