Leslie-Gower　predator　prey　model　with　Holling　II　type　cannibalism　term　is　proposed　and　studied　in　this　paper.　Local　and　global　stability　properties　of　the　system　are　investigated.　Our　study　indicates　that　cannibalism　has　no　influence　on　the　local　stability　property　of　the　equilibrium,　which　is　quite　different　to　the　known　results.　Numeric　simulations　are　carried　out　to　show　the　feasibility　of　the　main　results.