With　the　advent　of　cloud　computing,　more　and　more　consumers　prefer　to　use　the　cloud　services　with　the　pay-as-you-consume　mode.　The　cloud　storage　brings　about　great　convenience　to　users,　who　store　data　in　cloud　and　access　to　it　using　the　smart　devices　anytime　and　anywhere.　Consumers＇　information　should　be　encrypted　to　guarantee　the　data　privacy.　Flexible　searching　on　ciphertext　is　a　critical　challenge　to　be　solved　for　effective　data　utilization.　In　this　paper,　we　propose　a　novel　semantic　keyword　searchable　proxy　re-encryption　scheme　for　secure　cloud　storage.　A　highlight　of　this　work　is　that　the　scheme　is　quantum　attack　resistant,　while　most　of　the　available　searchable　encryption　schemes　are　not.　It　supports　not　only　exact　keyword　search　but　also　synonym　keyword　search.　Moreover,　the　data　owner　is　capable　to　delegate　his　search　right　to　another　user　using　the　proxy　re-encryption　mechanism.　In　the　generation　process　of　re-encryption　key,　the　delegator　and　delegatee　do　not　need　to　be　interactive　with　each　other.　The　scheme　is　also　collusion　resistant.　Under　the　learning　with　errors　hardness　problem,　this　scheme　is　proved　secure　in　standard　model.　Copyright　©　2017　John　Wiley　&　Sons,　Ltd.