The　Chaboche　combined　isotropic/kinematic　hardening　model　has　gained　wide　popularity　due　to　its　outstanding　description　on　cyclic　stress-strain　relations　of　different　structural　metals.　However,　the　calibration　on　material　parameters　of　Chaboche　model　needs　to　perform　at　least　a　cyclic　loading　test　to　gain　the　experimental　data,　leading　to　a　considerable　time　and　economic　cost.　To　reduce　such　calibration　expense,　a　simplified　calibration　approach　was　proposed　in　this　paper.　Firstly,　the　Chaboche　model　parameters　of　various　structural　steels,　including　low　yield　point　steels,　mild　steels,　and　high　strength　steels,　were　calibrated　based　upon　171　experimental　stress-strain　curves　by　using　an　identical　calibration　procedure.　Secondly,　these　parameters　calibrated　were　correlated　with　the　monotonic　yield　strength　and　fitted　through　suitable　description　formulations.　Subsequently,　a　four-steps　prediction　method　of　Chaboche　model　parameters　was　proposed　to　replace　the　traditional　complex　calibration　approach.　Based　upon　the　new　prediction　method,　the　values　of　all　Chaboche　model　parameters　can　be　directly　obtained　when　monotonic　yield　strength　is　known.　Furthermore,　the　simulation　performance　of　this　new　prediction　method　was　validated　by　comparing　a　series　of　simulation　stress-strain　relations　with　their　experimental　counterparts.　The　probabilistic　distribution　types　of　these　parameters　were　accordingly　identified　and　the　corresponding　statistical　parameters　were　fitted.　This　study　provides　a　simplified　prediction　method　and　a　probabilistic　description　on　different　Chaboche　model　parameters,　producing　a　foundation　for　random　analysis　of　stress-strain　behaviors　on　various　structural　steels.　©　2023　Elsevier　Ltd