In　this　paper　we　mainly　focus　on　the　cheating　problem　and　the　incapability　problem　existed　in　rational　secret　sharing　schemes.　Based　on　current　schemes　and　the　related　knowledge　of　bit　commitment　agreement,　we　proposed　a　verifiable　rational　multi-secret　sharing　scheme　in　which　players　can　verify　the　identity　of　the　dealer.　In　this　way,　it　is　feasible　to　prevent　the　forger　from　cheating.　The　correctness　of　the　secret　share　is　also　guaranteed　by　discrete　logarithm　problem.　The　secret　shares　are　divided　into　groups　so　that　the　distribution　phase　is　well　designed.　The　game　theory　model　is　also　adopted　to　realize　the　rational　multi　secret　sharing.　The　efficient　of　our　scheme　has　remarkably　improved　in　this　protocol　as　well　as　the　security　and　feasibility.