In　this　study,　a　finite　cyclic　elasto-plastic　constitutive　model　is　developed　to　simulate　the　cyclic　hardening　and　softening　of　the　low-yield-point　steel　BLY160.　Compared　with　existing　models,　an　improved　description　of　the　stress-strain　hysteresis　loops　is　achieved　by　introducing　a　modified　Chaboche　kinematic　hardening　rule　and　a　nonlinear　isotropic　hardening　rule　extended　with　a　strain　memory　surface.　In　the　proposed　kinematic　hardening　rule,　the　backstress　is　decomposed　into　three　parts　for　short,　middle,　and　long　ranges,　with　each　of　them　obeying　an　Armstrong-Frederick　(A-F)　evolution　rule　consisting　of　a　linear　hardening　and　dynamic　recovery　term.　To　incorporate　the　significant　effect　of　the　kinematic　hardening　rule　on　the　shape　change　in　hysteresis　loops,　a　dynamic　recovery　coefficient　is　postulated　herein　to　develop　with　not　only　the　accumulated　plastic　strain　but　also　the　memorized　strain　range.　In　addition,　a　hardening　factor　is　introduced　to　the　linear　hardening　term　to　consider　the　different　plastic　moduli　of　monotonic　and　cyclic　deformations.　The　model　parameters　are　identified　in　an　exquisite　manner　by　discriminating　the　contributions　of　the　isotropic　and　kinematic　components　to　the　cyclic　hardening　and　softening　phenomena,　which　is　implemented　through　a　quantitative　evaluation　of　the　tested　hysteresis　loops.　The　comparison　between　the　numerical　prediction　and　experimental　results　indicates　that　the　developed　constitutive　model　can　elaborately　simulate　the　cyclic　behaviour　of　the　investigated　steel.　The　results　demonstrate　that　the　entire　evolution　process　of　the　stress-strain　hysteresis　curve　characterized　by　the　cyclic　hardening　and　softening,　transient　Bauschinger　effect,　and　strain-range　dependence　can　be　adequately　described　by　the　proposed　model.