In　this　paper,　a　delay　Lasota-Wazewska　system　with　feedback　control　on　time　scales　is　proposed.　Firstly,　by　using　some　differential　inequalities　on　time　scales,　sufficient　conditions　which　ensure　the　permanence　of　the　system　are　obtained.　Secondly,　by　means　of　the　fixed　point　theory　and　the　exponential　dichotomy　of　linear　dynamic　equations　on　time　scales,　some　sufficient　conditions　for　the　existence　of　unique　almost　periodic　solution　are　obtained.　Moreover,　exponential　stability　of　the　almost　periodic　positive　solution　is　investigated　by　applying　the　Gronwall　inequality.　Finally,　numeric　simulations　are　carried　out　to　show　the　feasibility　of　the　main　results.