Cloud　computing　provides　flexible　data　management　and　ubiquitous　data　access.　However,　the　storage　service　provided　by　cloud　server　is　not　fully　trusted　by　customers.　Searchable　encryption　could　simultaneously　provide　the　functions　of　confidentiality　protection　and　privacy-preserving　data　retrieval,　which　is　a　vital　tool　for　secure　storage.　In　this　paper,　we　propose　an　efficient　large　universe　regular　language　searchable　encryption　scheme　for　the　cloud,　which　is　privacy-preserving　and　secure　against　the　off-line　keyword　guessing　attack　(KGA).　A　notable　highlight　of　the　proposal　over　other　existing　schemes　is　that　it　supports　the　regular　language　encryption　and　deterministic　finite　automata　(DFA)　based　data　retrieval.　The　large　universe　construction　ensures　the　extendability　of　the　system,　in　which　the　symbol　set　does　not　need　to　be　predefined.　Multiple　users　are　supported　in　the　system,　and　the　user　could　generate　a　DFA　token　using　his　own　private　key　without　interacting　with　the　key　generation　center.　Furthermore,　the　concrete　scheme　is　efficient　and　formally　proved　secure　in　standard　model.　Extensive　comparison　and　simulation　show　that　this　scheme　has　function　and　performance　superior　than　other　schemes.