We　consider　a　predator-prey　model　with　modified　Leslie-Gower　and　Beddington-DeAngelis　functional　response.　By　applying　the　comparison　theorem　of　the　differential　equation　and　constructing　a　suitable　Lyapunov　function,　sufficient　conditions　which　guarantee　the　permanence　and　existence　of　a　unique　globally　attractive　positive　almost　periodic　solution　of　the　system　are　obtained.　Our　results　not　only　supplement　but　also　improve　some　existing　ones.　One　example　is　presented　to　verify　our　main　results.