The　concept　of　＇rational　player＇　is　introduced　to　make　threshold　signature　system　more　general.　In　this　new　primitive,　all　players　are　regarded　as　rational　individuals　in　the　sense　that　they　always　try　to　maximize　their　profits　as　the　goal　at　any　phases.　Each　player＇s　strategy　and　utility　in　key　generation　and　signature　synthesis　phases　are　analyzed　based　on　game　theory.　It　is　proved　that　rational　players　have　no　motivation　to　participate　in　signature　in　traditional　threshold　signature　scheme,　which　might　cause　it　impossible　to　complete　threshold　signature.　Finally,　the　mechanism　of　rational　key　distribution　and　rational　signature　synthesis　is　proposed.　Analysis　shows　the　new　method　is　more　applicable　than　the　previous　schemes　in　the　real-world　applications.　©,　2015,　Editorial　Board　of　Journal　on　Communications.　All　right　reserved.