Aiming　at　the　problem　of　trust,　we　propose　a　secure　multi-party　signature　scheme　based　on　trust　mechanism.　In　this　scheme,　we　introduce　a　trust　vector　with　time-stamped　and　form　a　trust　matrix　composed　of　multi-dimensional　vectors　to　record　the　behavior　of　the　participants　periodically.　Finally,　a　trusted　evaluation　mechanism　is　established　for　the　participants.　Under　the　premise　of　participant　trustworthiness,　a　secure　multi-party　dynamic　threshold　signature　scheme　is　constructed　by　secret　sharing　technology.　The　security　analysis　shows　that　the　scheme　can　effectively　suppress　the　vandalism　of　malicious　participants.　it　is　forward　security　and　can　resist　mobile　attacks.　Performance　analysis　shows　that　the　scheme　has　lower　computational　complexity　and　higher　execution　efficiency.　©　Springer　Nature　Singapore　Pte　Ltd　2020.