By　using　comparison　theorem　and　constructing　suitable　Lyapunov　functional,　we　study　the　following　almost　periodic　nonlinear　N-species　competitive　Lotka-Volterra　model:　(x)　over　dot　(t)　=　x(i)(t)　[r(i)(t)　-　Sigma(N)(j=1)a(ij)(t)x(j)(alpha　ij)　(t)　-　Sigma(N)(j=1)b(ij)(t)x(j)(alpha　ij)　(t　-　tau(ij)(t))　-　Sigma(N)(j=1)c(ij)(t)x(j)(alpha　ii)　(t)x(j)(alpha　ij)(t)].　A　set　of　sufficient　conditions　is　obtained　for　the　existence　and　global　attractivity　of　a　unique　positive　almost　periodic　solution　of　the　above　model.　As　applications,　some　special　competition　models　are　studied　again,　our　new　results　improve　and　generalize　former　results.　Examples　and　their　simulations　show　the　feasibility　of　our　main　results.　(C)　2007　Elsevier　Inc.　All　rights　reserved.