This　paper　is　devoted　to　the　parabolic　KS　function　for　the　structural　topology　optimization　and　presents　a　different　strategy　to　deal　with　the　minimum　stress　design　problem.　We　transform　the　local　stresses　to　global　integrated　stress　of　structure　through　the　parabolic　KS　function.　A　new　optimization　model　is　introduced　which　provide　quality　solutions　and　the　minimum　stress　design　to　obtain　the　final　design.　Finally,　the　parabolic　KS　function　is　important　because　we　firstly　introduce　a　different　KS　function　to　study　the　structural　topology　optimization　problem.　©　2009　IEEE.