In　most　situations,　the　signer　is　generally　a　single　person.　However,　when　the　message　is　written　on　behalf　of　an　organization,　a　valid　message　may　require　the　approval　or　consent　of　several　persons.　Threshold　signature　is　a　solution　to　this　problem.　Generally　speaking,　as　an　authority　which　can　be　trusted　by　all　members　does　not　exist,　a　threshold　signature　scheme　without　a　trusted　party　appears　more　attractive.　Following　some　ideas　of　the　classical　Shamir＇s　threshold　signature　scheme,　a　quantum　threshold　group　signature　one　is　proposed.　In　the　proposed　scheme,　only　t　or　more　of　n　persons　in　the　group　can　generate　the　group　signature　and　any　t　-　1　or　fewer　ones　cannot　do　that.　In　the　verification　phase,　any　t　or　more　of　n　signature　receivers　can　verify　the　message　and　any　t　-　1　or　fewer　receivers　cannot　verify　the　validity　of　the　signature.