Abstract　In　this　paper,　we　investigate　a　discrete　Hassell-Varley　response　function　predator-prey　system　with　feedback　control.　First,　sufficient　conditions　are　established　for　the　permanence　of　the　system.　Then,　assuming　that　the　coefficients　of　the　system　is　almost　periodic　sequences,　we　obtain　conditions　for　the　existence　and　unique　of　the　almost　periodic　solution.　Moreover,　the　almost　periodic　solution　we　obtained　is　uniformly　asymptotically　stable.　©　2015　Elsevier　Inc.