Tefron (TFRFF) 20-F 2010 FY Annual report (foreign)

Exhibit 13.(a).1

CERTIFICATION PURSUANT TO

18 U.S.C. SECTION 1350,

AS ADOPTED PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the Annual Report of Tefron Ltd. (the "Company") on Form 20-F for the period ended December 31, 2010, as filed with the Securities and Exchange Commission on the date hereof (the "Report"), the undersigned hereby certify that to the best of our knowledge:

1. The Report fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934; and

2. The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

Date:  June 23, 2011

By:   /s/ Amit Meridor

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Amit Meridor

Chief Executive Officer

Date:  June 23, 2011

By:   /s/ Eran Rotem

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Eran Rotem

Chief Financial Officer