In　recent　years,　the　mobile　Internet　has　been　rapidly　developed　and　widely　used.　Aiming　at　the　problems　of　the　weak　computing　power　of　mobile　internet　mobile　terminal　equipment,　limited　energy　supply　and　high　security　requirements　due　to　the　complexity　of　mobile　Internet　environment,　we　proposes　a　secure　and　efficient　server-assisted　verification　threshold　proxy　re-signature　scheme,　and　the　correctness　of　the　program　is　verified.　The　proposed　scheme　includes　a　threshold　proxy　re-signature　algorithm　and　a　server-assisted　authentication　protocol　scheme.　Threshold　proxy　re-signature　is　a　technique　of　proxy　re-signature　using　threshold,　which　can　decentralize　the　proxy’s　signature　rights.　In　the　scheme,　the　verifier　and　the　server　send　the　complex　signature　verification　operation　to　a　semi-trusted　server　through　the　protocol,　which　effectively　reduces　the　computational　load　of　the　verifier.　The　security　analysis　results　show　that　the　new　scheme　is　safe　and　it　is　proved　that　the　scheme　is　safe　under　collusion　attack　and　adaptive　selection　message　attack　under　the　standard　model.　The　performance　analysis　results　show　that　the　new　scheme　proposed　in　this　paper　has　shorter　signature　length,　less　computational　cost,　higher　verification　efficiency　and　better　adaptability　to　the　mobile　Internet　environment.　©　2019,　ICST　Institute　for　Computer　Sciences,　Social　Informatics　and　Telecommunications　Engineering.