To perform low cycle fatigue analysis on nuclear structural materials under cyclic loading, cyclic hardening rules should be determined. In this study, the determination of linear and nonlinear kinematic hardening model parameters based on limited material test data is proposed. Chaboche model parameters are determined from hysteresis loops for the purpose of comparison. Simulation of cyclic C(T) test is performed using the hardening models. In cyclic C(T) test, SA508 Gr.1a low alloy steel and SA312 TP316L stainless steel were taken and incremental loading sequence was adopted. In the loading sequence, displacement control was used for loading steps and load control was applied for unloading steps to maintain constant load ratio. A constant displacement increment was applied after each cycle. The simulation results using A&F model and Chaboche model are compared to verify the applicability of A&F model.