The　dynamic　behaviors　of　an　impulsive　periodic　predator-prey　model　with　n-preys　and　m-predators　are　studied　in　this　paper.　By　constructing　a　suitable　Lyapunov　function　and　using　the　Comparison　theorem　of　impulsive　differential　equation,　sufficient　conditions　which　ensure　the　permanence　and　global　attractivity　of　the　system　are　obtained.　At　the　same　time,　a　set　of　criteria　which　guarantee　that　some　species　in　the　system　are　permanent　and　globally　attractive　while　the　remaining　species　are　driven　to　extinction　is　obtained.　Our　results　show　that,　for　the　multi-species　predator-prey　community,　impulsivity　is　one　of　the　important　reasons　that　can　change　the　long　time　behaviors　of　species.　©　2008　Elsevier　Ltd.　All　rights　reserved.