We　present　a　construction　of　new　bound　entangled　states　from　given　bound　entangled　states　for　arbitrary　dimensional　bipartite　systems.　One　way　to　construct　bound　entangled　states　is　to　show　that　these　states　are　positive　partial　transpose　(PPT)　and　violate　the　range　criterion　at　the　same　time.　By　applying　certain　operators　to　given　bound　entangled　states　or　to　one　of　the　subsystems　of　the　given　bound　entangled　states,　we　obtain　a　set　of　new　states　which　are　both　PPT　and　violate　the　range　criterion.　We　show　that　the　derived　bound　entangled　states　are　not　local　unitary　equivalent　to　the　original　bound　entangled　states　by　detail　examples.