In　this　paper,　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　and　displacement　constraints.　Based　on　the　Taylor　expansion　and　the　filtering　function,　the　objective　function　and　the　constraints　were　approximately　expressed　as　an　explicit　function.　The　optimization　model　was　translated　into　a　dual　programming　and　solved　by　the　sequence　second-order　programming.　All　the　corresponding　numerical　procedures　are　developed　by　the　PCL　toolkit　in　the　MSC.Patran/Nastran　software　platform.　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.　©　2009　IEEE.