The　persistence　of　some　stage　structured　predator-prey　model　with　finite　and　infinite　delay　was　studied　in　this　paper.　By　analyzing　right-hand　functions　and　using　the　comparison　theorem,　some　sufficient　conditions　for　the　persistence　of　populations　with　finite　and　infinite　delay　were　derived.　©　2006　Elsevier　Inc.　All　rights　reserved.