Data　retrieval　on　encrypted　documents　is　a　very　important　technology　in　cloud　storage,　where　encryption　on　sensitive　data　is　a　necessary　operation　to　protect　documents　privacy　before　they　are　outsourced　to　cloud.　Most　of　existing　searchable　encryption　schemes　concentrate　on　single-user　scenario.　In　this　paper,　we　focus　on　the　multiple　sender　and　multiple　user　application　scenario　to　provide　a　flexible　search　authorization　searchable　encryption　(SE)　scheme.　The　attribute　based　encryption　(ABE)　technology　is　used　to　support　fine-grained　access　control　and　the　synonym　keyword　search　is　enabled　in　the　new　scheme.　The　new　primitive　is　named　as　attribute　based　searchable　encryption　with　synonym　keyword　search　function　(SK-ABSE).　The　formally　definition　of　SK-ABSE　is　given　together　with　a　concrete　construction.　This　scheme　also　enables　convenient　user　revocation　mechanism.　©　2015,　Yang;　licensee　Springer.