Considering　the　case　of　players＇　deceptions,　traditional　secret　sharing　scheme　can　not　resolve　the　security　issues.　To　address　these　security　issues,　the　paper　proposes　a　rational　secret　sharing　scheme　against　cheating　based　on　game　theory.　Under　the　conditions　of　the　rational,　applying　the　idea　of　threshold,　the　scheme　is　composed　of　key　generation,　share　encryption,　verification　and　secret　reconstruction.　In　the　process,　the　scheme　firstly　utilizes　secure　multiparty　computation　function　instead　of　trusted　center　for　key　generation　and　share　validation;　secondly　uses　probability　encryption　which　can　effectively　solve　the　problem　of　players　keeping　silent　in　the　final　iteration;　thirdly　without　revealing　the　secret,　employs　the　commitment　to　detect　the　cheat　in　the　scheme;　finally,　the　scheme　can　reconstruct　the　secret　in　the　meaningful　encryption.　In　conclusion,　the　scheme　is　safe　and　effective.　©　2011　ACADEMY　PUBLISHER.