A　stage-structured　predator-prey　system　(stage　structure　for　both　predator　and　prey)　with　discrete　delay　is　studied　in　this　paper.　By　introducing　anew　lemma　and　applying　the　standard　comparison　theorem,　a　set　of　novel　criteria　which　ensure　the　permanence　of　the　system　is　obtained.　Our　result　supplements　the　main　results　of　Chen,　Xie　and　Li　[Partial　survival　and　extinction　of　a　delayed　predator-prey　model　with　stage　structure,　Applied　Mathematics　and　Computation,　219　(8)(2012)　4157-4162].　(C)　2013　Elsevier　Inc.　All　rights　reserved.