Title: On cohomology of saturated fusion systems and support varieties Authors: C.C. Todea; Abstract: In this short note we study the cohomology algebra of saturated fusion systems using finite groups which realize saturated fusion systems and Hochschild cohomology of group algebras. A similar result to a theorem of Alperin, \cite{AlpMis} is proved for varieties of cohomology algebras of fusions systems associated to block algebras of finite groups. Status: published/2014.