Rational　secret　sharing　module　combines　Game　theory　with　cryptography　by　taking　rational　behavior　into　consideration　thus　has　a　wider　range　of　application.　We　apply　rational　secret　sharing　into　threshold　signature　so　as　to　construct　a　hierarchical　structure　that　is　described　by　extended　game.　Dynamic　game　of　complete　information　is　applied　into　partial　signature＇s　distribution　and　reconstruc-tion　phase　where　a　probable　value　is　calculated　that　can　maximize　the　payoff.　In　each　round　of　the　game,　secret　key　is　iteratively　generated　in　a　way　that　any　forge　secret　key　will　be　detected　by　PKG　system.　Mixed　strategy　model　is　adopted　instead　of　pure　stra-tegy　model　to　prevent　deviation,　which　is　proved　to　be　Nash　equilibrium.　Correctness　and　anti-deceive　feature　is　proofed.　The　secu-rity　is　based　on　solving　BDH　problem　in　group　so　the　scheme　is　high　effective　and　chosen　cipher　text　security.