As　an　important　data　type　of　digital　geometric　media,　3D　mesh　can　accurately　record　the　geometric　information　on　the　surface　of　models.　The　complexity　and　precision　of　3D　meshes　have　been　increased,　which　has　brought　huge　pressure　for　storage　and　transmission.　In　order　to　improve　the　compression　performance　of　3D　mesh,　a　geometry　and　normal　intra-inter　prediction　encoding　method　was　proposed.　Utilizing　the　correlation　of　internal　components　of　the　normal　data　(intra-frame)　and　the　correlation　between　the　geometric　and　normal　data　(inter-frame),　the　method　was　designed　to　realize　the　compression　of　3D　mesh　and　to　effectively　maintain　geometric　characteristics　of　decoded　3D　mesh.　Experimental　results　show　that,　in　comparison　with　compressing　the　normal　and　geometric　data　respectively,　the　proposed　prediction　encoding　methods　can　significantly　increase　compression　efficiency　for　3D　mesh　with　normal　data.　©　2019,　Editorial　Department　of　Transaction　of　Beijing　Institute　of　Technology.　All　right　reserved.