Electromagnetic　spring　active　isolators　have　attracted　extensive　attention　in　recent　years.　The　standard　Bouc–Wen　model　is　widely　used　to　describe　hysteretic　behavior　but　cannot　accurately　describe　asymmetric　behavior.　The　standard　Bouc–Wen　model　is　improved　to　better　describe　the　dynamic　characteristic　of　a　toothed　electromagnetic　spring.　The　hysteresis　model　of　toothed　electromagnetic　spring　is　established　by　adding　mass,　damping,　and　asymmetric　correction　terms　with　direction.　Subsequently,　the　particle　swarm　optimization　algorithm　is　used　to　identify　the　parameters　of　the　established　model,　and　the　results　are　compared　with　those　obtained　from　the　experiment.　The　results　show　that　the　current　has　a　significant　impact　on　the　dynamic　curve.　When　the　current　increases　from　0.5　A　to　2.0　A,　the　electromagnetic　force　sharply　increases　from　49　N　to　534　N.　Under　different　excitations　and　currents,　the　residual　points　predicted　by　the　model　proposed　in　this　work　fall　basically　in　the　horizontal　band　region　of　−20–20　N　(for　an　applied　current　of　1.0　A)　and　−40–80　N　(for　an　application　of　4.5　mm/s).　Furthermore,　the　maximum　relative　error　of　the　model　is　12.75%.　The　R2　of　the　model　is　higher　than　0.98　and　the　highest　value　is　0.9993,　proving　the　accuracy　of　the　established　model.　©　2023　by　the　authors.