In　this　paper,　according　to　the　ICM　(Independent　Continuous　Mapping)　method,　the　topology　optimization　problem　of　continuum　structures　with　the　buckling　constraints　are　solved.　The　continuous　independent　topological　variables　are　used　in　this　problem.　The　topology　optimization　model　for　the　continuum　structure　is　constructed,　which　has　the　minimized　weight　as　the　objective　function　subjected　to　the　buckling　constraints.　Based　on　the　Taylor　expansion,　the　filtering　function　and　the　Rayleigh＇s　quotient,　the　objective　function　is　approximately　expressed　as　a　second-order　expressions　and　the　buckling　constraint　is　approximately　expressed　as　an　explicit　function.　Thus　the　analysis　of　the　sensitivity　was　decreased.　The　optimization　model　is　translated　into　a　dual　programming　and　solved.　The　number　of　the　variable　is　reduced　and　the　model＇s　scale　is　minified.　Finally,　the　examples　show　that　this　method　can　solve　the　topology　optimization　problem　of　continuum　structures　with　the　buckling　constraints　feasibly　and　efficiently.