Hooping　effect　is　the　mainly　character　of　concrete　filled　steel　tube　(CFST)　structures.　The　whole　process　subjected　axial　load　of　CFST　stub　with　initial　stress　is　analyzed　by　numerical　method.　Analyses　results　indicate　that　the　presence　of　initial　stress　has　a　significant　effect　on　the　hooping　effect,　initial　stress　make　the　elastic-plastic　phase　appeared　ahead　and　the　hooping　effect　appeared　postponable.　However,　the　shift　of　hooping　effect　factor　can＇t　influence　too　much　to　the　decreasing　trends　of　load-carrying　capacity.　Finally,　some　advices　and　calculated　methods　have　been　presented,　which　can　be　used　in　practice.