Sufficient　conditions　are　obtained　for　the　existence　of　a　unique,　globally　attractive,　strictly　positive　(componentwise),　almost　periodic　solution　of　a　non-autonomous,　almost　periodic　competitive　two-species　model　with　a　stage　structure　in　one　species.　An　example　together　with　its　numeric　simulations　shows　the　feasibility　of　our　main　results.　Our　result　generalizes　the　main　results　of　Zeng　et　al.　[G.Z.　Zeng,　L.S.　Chen,　L.H.　Sun,　Y.　Liu,　Permanence　and　the　existence　of　the　periodic　solution　of　the　non-autonomous　two-species　competitive　model　with　stage　structure,　Advances　in　Complex　Systems,　7　(3&4)　(2004)　385-393]　(c)　2006　Elsevier　Inc.　All　rights　reserved.