By　using　comparison　theorem　and　constructing　suitable　Lyapunov　functional,　we　study　the　following　periodic　Lotka-Volterra　model　with　M-predators　and　N-preys　by　＇pure-delay　type＇　{{x}i(t)=　x　i(t)[bi(t)　-∑nk=1a　{ik}(t)xk(t-τxk(t))-　∑n　{l=1}cil(t)yl(t-σil(t))],　&　i=1,2,　N.　yj(t)=yj(t)[[-rj(t)　+　∑　N{k=1}djk(t)xk(t-　ζjk(t))-∑Ml=1ejl(t)　yl(t-ηjl(t))]　&　\quad　j=1,2,　M.　A　set　of　easily　verifiable　sufficient　conditions　are　obtained　for　the　existence　and　global　attractivity　of　a　unique　positive　almost　periodic　solution　of　the　above　model,　which　improve　and　generalize　some　known　results.　©　Springer　2005.