The　main　objective　of　this　paper　is　to　study　the　optimal　distributed　control　of　the　three　dimensional　Cahn-Hilliard-Brinkman　system　with　regular　potential.　We　apply　recently　proved　well-posedness　and　regularity　results　in　order　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　flow.　(C)　2018　Published　by　Elsevier　Ltd.