Continuum　topology　optimization　with　stresses　constraints　is　not　only　important　but　also　complicated.　Because　stress　is　a　local　quantity,　a　large　number　of　constraints　must　be　considered,　and　the　complication　of　optimization　algorithm　and　sensitivity　analysis　is　also　increased.　A　global　stress　constraints　method　based　on　ICM　(Independent　Continuous　Mapping)　method,　which　takes　minimum　weight　and　strain　energy　of　structure　with　multi-load-case　as　design　objective　and　constraint　respectively,　is　suggested　in　this　paper.　Dual　quadratic　programming　is　applied　to　solve　the　optimal　model　for　continuum　structure　established　in　this　paper.　As　a　result,　the　number　of　constraints　is　reduced　and　the　local　optimal　solution　of　the　weight　is　also　avoided.　Two　numerical　examples　are　discussed,　and　their　results　show　that　the　present　method　is　effective　and　efficient.