In　this　paper,　we　propose　a　discrete　pollination　mutualism　in　a　plant-pollinator　system　with　the　Beddington-DeAngelis　functional　response　and　feedback　controls.　By　applying　the　comparison　theorem　of　a　difference　equation　and　constructing　some　suitable　Lyapunov　functions,　sufficient　conditions　are　obtained　for　the　permanence　and　the　extinction　of　the　system.　Moreover,　under　some　suitable　conditions,　we　show　that　the　solution　of　the　system　is　globally　attractive.　The　paper　ends　by　some　numerical　simulations　and　a　brief　discussion.