In　this　paper,　we　consider　a　modified　Leslie-Gower　predator-prey　model　with　Holling-type　II　schemes　and　mutual　interference.　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.