The　design　of　rational　cryptographic　protocols　is　a　recently　created　research　area　at　the　intersection　of　cryptography　and　game　theory.　The　core　issue　of　rational　secret　sharing　is　to　construct　a　mechanism　so　that　all　rational　players　have　incentive　to　provide　their　shares　in　the　reconstruction　phase.　In　this　paper,　in　order　to　prevent　rational　players　cheating,　a　rational　secret　sharing　scheme　is　proposed,　applying　the　repeated　interaction　method　to　provide　motivation　so　as　to　attract　the　players　to　cooperate　in　the　reconstruction　phase,　each　player＇　s　secret　shadow　is　selected　by　himself　to　avoid　being　deceived　by　dealer.　Rational　players　send　their　shares　each　other　in　finite　repeat　games,　everyone　doesn＇t　know　which　round　is　last　round,　if　he　cheats　in　the　current　round,　others　will　take　Grim　Trigger　Strategy　(GTS),　the　gain　of　following　the　protocol　is　more　than　deviating　from　the　protocol,　so　rational　player　has　not　incentive　to　abide,　which　enables　the　possibility　of　secret　sharing　among　rational　player.　Finally　the　specific　executive　process　of　the　scheme　is　gave.　After　analyzing,　our　scheme　has　higher　safety　and　effectiveness,　to　better　meet　the　application　requirements.