EXHIBIT 99CERT.906


     CERTIFICATION PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002


Patrick  J.  Sheppard,  President  and Chief  Executive  Officer  and  Steven M.
Anderson,  Vice  President and Treasurer of Mellon Optima L/S Strategy Fund, LLC
(the "Registrant"), each certify to the best of their knowledge that:

1.   The  Registrant's  periodic report on Form N-CSR for the period ended March
     31, 2007 (the "Form N-CSR") fully complies with the requirements of Section
     15(d) of the Securities Exchange Act of 1934, as amended; and

2.   The  information  contained  in the  Form  N-CSR  fairly  presents,  in all
     material respects, the financial condition and results of operations of the
     Registrant.


/s/ Patrick J. Sheppard
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Patrick J. Sheppard
President and Chief Executive Officer

Date: June 8, 2007


/s/ Steven M. Anderson
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Steven M. Anderson
Vice President and Treasurer

Date: June 8, 2007


A signed original of this written statement required by Rule 30a-216,  under the
Investment  Company  Act of 1940 and 18 U.S.C.  ss. 1350 will be retained by the
Registrant and furnished to the Securities and Exchange  Commission or its staff
upon request.

This certification is being furnished to the Securities and Exchange  Commission
solely  pursuant to Rule 30a-2(b) under the  Investment  Company Act of 1940, as
amended, and 18 U.S.C. ss. 1350 and is not being filed as part of the Form N-CSR
with the Commission.