In　the　study　of　continuous　amensalism　systems,　it　has　been　widely　accepted　that　Michaelis–Menten　type　harvesting　has　a　significant　impact　on　the　survival　and　extinction　of　species.　However,　scholars　have　not　yet　studied　discrete　amenslism　models　that　include　Michaelis–Menten　type　harvesting.　To　characterize　such　dynamics,　a　discrete　amensalism　system　with　Michaelis–Menten　type　harvesting　for　the　second　species　is　investigated.　Firstly,　we　study　the　existence　and　stability　of　all　possible　equilibrium　points.　Under　different　parameters,　there　are　two　stable　equilibria,　which　means　that　the　model　is　not　always　globally　stable.　Then,　the　conditions　of　various　types　of　bifurcations　likely:　pitchfork　bifurcations,　transcritical　bifurcations,　fold　bifurcations,　and　flip　bifurcations　have　been　established.　In　addition,　a　global　dynamics　analysis　of　the　model　is　also　conducted.　Finally,　the　significance　of　Michaelis–Menten　type　harvesting　in　species　relationships　is　shown　by　numerical　simulations.　Although　proper　harvesting　reduces　the　density　of　the　second　species,　it　favors　the　stable　coexistence　of　both　species　and　excessive　harvesting　leads　directly　to　the　extinction　of　the　second　species.　Therefore,　the　results　of　this　paper　can　provide　a　reference　for　research　on　how　to　maximize　harvesting　without　destroying　the　ecological　balance　of　the　species.　©　The　Author(s),　under　exclusive　licence　to　Springer　Nature　Switzerland　AG　2024.