A Controlled Rocking Reinforced Concrete Frame with Column-end-hinge joints (CR-RCFC) is a new type of resilient structure. Firstly, the configuration of CR-RCFC joint was introduced. The ABAQUS software was used to establish the finite element model of the conventional RC frame (RCF) and CR-RCFC. The rationality of the finite element model of CR-RCFC was verified by shaking table test results. Ten ground motions were selected based on earthquake platform and seismic information and input into CR-RCFC model to simulate the natural frequencies and dynamic time-history responses of the structures with different joint stiffness ratios. Finally, the inter-story drift amplification coefficient α and the base earthquake-reduction coefficient β were defined, and the displacement responses and inter-story shear responses were selected as the control parameters for selecting the joint stiffness. Through the elasto-plastic time-history analysis, the peak inter-story drifts and peak inter-story shear forces of the structure under different ground motions were compared to analyze the effects of joint stiffness degradation on the coefficients α and β, and reasonable range of joint stiffness ratio was obtained.