The　traditional　cryptosystem　is　based　on　the　security　of　private　key.　While　the　private　key　is　leaked,　the　signature　information　may　be　exposed.　Based　on　this,　a　threshold　signature　scheme　with　strong　forward　security　based　on　Chinese　remainder　theorem　is　proposed.　The　signature　is　generated　through　the　cooperation　of　members,　which　solve　the　problem　of　authoritative　fraud　introduced　by　the　dealer.　The　private　key　is　updated　periodically　to　handle　the　threat　caused　by　the　private　key　leakage.　Security　analysis　shows　that　the　existing　signatures　will　not　be　affected　by　the　compromise　of　the　corresponding　private　keys,　and　do　not　allow　for　forgery　of　the　future　signatures,　which　shows　that　the　new　scheme　has　the　forward　security　and　the　backward　security.　The　efficiency　analysis　shows　that　our　scheme　is　more　efficient　compared　with　the　well-known　existing　schemes　in　the　literature.　©　2019,　ICST　Institute　for　Computer　Sciences,　Social　Informatics　and　Telecommunications　Engineering.