We　propose　a　new　contactor　modeling　method　that　incorporates　the　back　propagation　(BP)　neural　network　to　map　the　complex　nonlinear　electromechanical　coupling　relation　of　the　contactor　to　build　its　model.　First,　the　artificial　neural　network　(　ANN)　model　collects　the　actual　operational　data　of　the　contactor,　including　the　coil　voltage,　coil　current　and　moving　core　displacement,　and　then　uses　the　strong　nonlinear　fitting　ability　of　the　BP　neural　network　to　perform　the　model　training.　When　the　training　is　completed,　the　ANN　model　can　output　the　precise　displacement　according　to　the　input　data　of　the　coil　voltage　and　the　coil　current.　Through　a　simple　training　process,　this　method　can　complete　the　modeling　of　any　electromagnetic　contactor.　This　method　avoids　the　need　to　solve　the　complex　magnetic　circuit　equation　of　the　contactor　and　thus　provides　a　simple　and　universal　method　for　calculating　the　displacement　of　the　electromagnetic　switch.　The　co-simulation　system　is　used　to　model,　train,　and　analyze　the　contactor　ANN　model.　Finally,　a　relevant　experiment　is　conducted　to　confirm　the　effectiveness　of　the　ANN　model.