A　set　of　Bell　inequalities　classifying　the　quantum　entanglement　of　arbitrary　dimensional　tripartite　systems　is　presented.　These　inequalities　can　characterize　full　separable　and　bi-separable　quantum　states.　In　addition,　for　3aSu3aSu3　systems,　we　present　two　kinds　of　different　Bell　inequalities　to　classify　quantum　entangled　states　based　on　the　generators　of　SU(3)　and　the　generalized　Pauli　operators.