To　study　the　entanglement　properties　of　multipartite　quantum　states,　a　class　of　states　in　the　tripartite　quantum　systems　was　constructed.　Using　the　properties　of　the　partitioned　matrix,　the　positive　matrix　and　the　diagonally　dominant　matrix,　applying　the　range　criterion,　the　separable　criterion,　the　structure　and　the　partial　transpositions　of　their　density　matrices　were　analyzed.　The　research　shows　that　the　states　are　entangled　for　the　splits　A-BC　and　B-AC,　separable　for　the　split　AB-C.　Therefore　it　can　be　concluded　that　the　states　are　bound　entangled　for　the　splits　A-BC　and　B-AC,　separable　with　respect　to　the　split　AB-C,　and　finally　the　entanglement　properties　of　any　bipartite　splits　of　the　tripartite　states　are　provided.　©,　2015,　Beijing　University　of　Technology.　All　right　reserved.