We　introduce　a　new　iterative　method　for　finding　a　common　element　of　the　set　of　solutions　of　an　equilibrium　problem　and　the　set　of　all　common　fixed　points　of　a　nonexpansive　semigroup　and　prove　the　strong　convergence　theorem　in　Hilbert　spaces.　Our　result　extends　the　recent　result　of　Zegeye　and　Shahzad　(2013).　In　the　last　part　of　the　paper,　by　the　way,　we　point　out　that　there　is　a　slight　flaw　in　the　proof　of　the　main　result　in　Shehu＇s　paper　(2012)　and　perfect　the　proof.