Assigning an adequate material constitutive model plays a key role in finite element analysis of steel beam to column connections under cyclic loading, since ductile materials such as steel exhibit different behaviors in cyclic and monotonic loads. Different material models have been proposed in order to simulate the steel behavior under cyclic loading and also to model the hardening phenomenon and bauschinger effect. In this study, an experimental specimen of eight bolted stiffened extended end-plate connection, which is a type of prequalified connections, has been analyzed numerically by the ABAQUS Finite Element Analysis (FEA) program and the response of FEA was used in order to make a comparison between the results of experimental and numerical analysis. The investigated models included; Elastic-Perfect Plastic model, bi-linear with isotropic hardening model, combined isotropic-kinematic hardening with parametric half cycle response models. The FEA results indicate that the combined hardening constitutive model exhibits the most accurate results compared to other introduced models and also this model simulates the nonlinear response of the connection in the cycles with high strain amplitudes better than the other models previously introduced.