The　ICM　(Independent,　Continuous　and　Mapping)　method　was　applied　to　the　frame　structures.　A　topological　optimization　model　for　the　frame　structures　under　the　multi-loading　cases　was　established,　which　takes　the　weight　as　an　objective　function　and　is　subjected　to　the　stress　and　displacement　constraints.　By　using　the　smooth　function　and　the　filter　function,　the　discrete　variables　and　the　continuous　variables　were　transformed　conveniently.　The　synthesized　coordination　between　the　topological　solutions　with　the　stress　and　displacement　constraints　under　the　multi-loading　cases　was　considered.　Numerical　results　show　that　the　optimized　frame　structures　which　are　different　from　trusses　are　reasonable.