In　this　paper,　a　non-selective　harvesting　Lotka–Volterra　amensalism　discrete　model　incorporating　partial　closure　for　the　populations　is　proposed　and　studied.　By　applying　the　relevant　conclusions　of　difference　inequality　and　some　calculation　technique,　sufficient　conditions　are　obtained　to　ensure　the　permanence　and　extinction　of　the　system.　By　constructing　a　suitable　Lyapunov　function,　sufficient　conditions　that　ensure　the　global　attractivity　of　the　system　are　obtained.　Finally,　numerical　simulations　show　the　feasibility　of　our　results.　©　2019,　The　Author(s).