In　this　paper,　based　on　the　comparison　theorem　and　Lyapunov　method,　we　study　the　following　periodic　Lotka-Volterra　model　with　m-predators　and　n-preys　by　＇pure-delay　type＇:{Mathematical　expression}{Mathematical　expression}.　By　proposing　a　new　concept　of　generalized　uniform　M-matrix,　a　set　of　easily　verifiable　sufficient　conditions　are　obtained　for　the　existence　and　global　attractivity　of　a　unique　positive　periodic　solution　of　the　above　model.　The　obtained　results　improve　and　generalize　some　known　results.　©　2006　Elsevier　Ltd.　All　rights　reserved.