In　a　certain　Banach　space　called　an　M-type　2　Banach　space　(including　Hilbert　spaces),　we　consider　a　set-valued　stochastic　differential　equation　with　a　set-valued　drift　term　and　a　single　valued　diffusion　term,　under　the　Lipschitz　continuity　conditions,　and　we　prove　the　existence　and　uniqueness　of　strong　solutions　which　are　continuous　in　the　Hausdorff　distance.