In　this　paper,　according　to　the　ICM　(Independent　Continuous　Mapping)　method,　the　topology　optimization　model　for　the　continuum　structure　was　constructed.　The　model　had　the　minimized　weight　as　the　objective　function　subjected　to　the　buckling　constraints　displacement　constraints　and　stress　constraints.　The　continuous　independent　topological　variables　were　used　in　this　problem.　Based　on　the　Taylor　expansion　and　the　filtering　function,　the　objective　function　was　approximately　expressed　as　a　second-order　expressions.　Based　on　the　Rayleigh　quotient,　the　Taylor　expansion　and　the　filtering　function　the　buckling　constraints　were　approximately　expressed　as　an　explicit　function.　Based　on　the　filter　function,　the　displacement　constraints　are　expressed　approximately　by　Mohr　theorem.　Using　the　globalization　method　of　stress　constraints　and　the　von　Mises＇　yield　criterion　in　mechanics　of　materials,　the　local　stress　constraints　were　translated　into　the　whole　structure　strain　energy　constraint.　Thus　the　analysis　quantity　of　the　sensitivity　was　decreased.　The　optimization　model　was　translated　into　a　dual　programming　and　solved　by　the　sequence　second-order　programming.　The　number　of　the　variable　was　reduced　and　the　model＇s　scale　was　minified.　Numerical　examples　show　that　this　method　can　solve　the　topology　optimization　problem　of　continuum　structures　with　the　buckling　and　displacement　constraints　efficiently　and　give　more　reasonable　structural　topologies.