The　main　objective　of　this　paper　is　to　study　the　optimal　distributed　control　for　a　model　of　homogeneous　incompressible　two-phase　flows.　We　apply　the　well-posedness　and　regularity　results　to　establish　the　existence　of　optimal　controls　as　well　as　the　first-order　necessary　optimality　conditions　for　an　associated　optimal　control　problem　in　which　a　distributed　control　is　applied　to　the　fluid.