An　autonomous　stage-structured　predator-prey　system　(stage　structure　for　both　predator　and　prey)　with　discrete　delay　is　studied　in　this　paper.　By　using　an　iterative　method,　the　global　stability　of　the　interior　equilibrium　point　of　the　system　is　investigated.　Our　result　shows　that　conditions　which　ensure　the　permanence　of　the　system　are　enough　to　ensure　the　global　stability　of　the　system.　The　result　not　only　improves　but　also　complements　some　existing　ones.　©　2013　Elsevier　Ltd.　All　rights　reserved.