In　this　paper,　we　consider　a　discrete　almost　periodic　Lotka-Volterra　competition　system　with　delays.　Sufficient　conditions　are　obtained　for　the　permanence　and　global　attractivity　of　the　system.　Further,　by　means　of　an　almost　periodic　functional　hull　theory,　we　show　that　the　almost　periodic　system　has　a　unique　strictly　positive　almost　periodic　solution,　which　is　globally　attractive.　Some　examples　are　presented　to　verify　our　main　results.　(C)　2011　Elsevier　Ltd.　All　rights　reserved.