An　optimal　topology　model　is　established　based　on　ICM　(independent　continuous　mapping)　methodology　in　order　to　study　the　topological　optimization　of　continuum　structure　with　stress　and　displacement　constraints　under　multiple　load　cases.　The　optimal　model　includes　two　types　of　dimensionless　constraints　which　regard　the　structural　mass　as　an　objective.　The　transformation　of　the　local　stress　constraints　into　the　global　stain　energy　constraints　is　achieved　by　adopting　the　strategy　of　globalization　of　stress　constraints.　As　a　result,　the　numbers　of　constraints　is　reduced,　and　the　complexity　of　the　sensitivity　analysis　is　avoided.　And　an　explicit　formulation　of　displacement　which　relates　to　topological　variables　is　presented　by　using　of　unit　virtual　load　method.　In　addition,　the　dual　model　corresponding　to　the　optimal　model　of　continuum　structure　is　established　by　the　serial　quadratic　programming.　Consequently,　the　number　of　design　variables　is　decreased,　and　the　efficiency　of　computation　is　improved.　Numerical　examples　of　the　two　dimensional　thin　plate　structures　indicate　that　the　method　is　effective　and　efficient.