A visco-plastic constitutive model was proposed to describe the strain-range-dependence and non-saturated property of cyclic hardening observed by experiments.In the proposed model,a new variable was employed to characterize the cyclic hardening.In the evolution rule of the variable,a critical state was introduced to describe the strain-range-dependence of cyclic hardening.Furthermore,the cyclic hardening variable was divided into two parts with different evolution rules so that its non-saturated property presented at relatively large strain amplitude could be described.The cyclic hardening variable is incorporated into the model by considering its effect on kinematic and isotropic hardening evolutions simultaneously.The reasonability of proposed model is verified by comparing the simulations with the corresponding experimental results of 304 stainless steel.