In　this　paper,　a　two　species　amensalism　model　with　Michaelis–Menten　type　harvesting　and　a　cover　for　the　first　species　that　takes　the　form　dx(t)dt=a1x(t)−b1x2(t)−c1(1−k)x(t)y(t)−qE(1−k)x(t)m1E+m2(1−k)x(t),dy(t)dt=a2y(t)−b2y2(t)　is　investigated,　where　ai,　bi,　i=　1　,　2　,　and　c1　are　all　positive　constants,　k　is　a　cover　provided　for　the　species　x,　and　0　<　k<　1.　The　stability　and　bifurcation　analysis　for　the　system　are　taken　into　account.　The　existence　and　stability　of　all　possible　equilibria　of　the　system　are　investigated.　With　the　help　of　Sotomayor’s　theorem,　we　can　prove　that　there　exist　two　saddle-node　bifurcations　and　two　transcritical　bifurcations　under　suitable　conditions.　©　2018,　The　Author(s).