Self-centering frame joint with beam-end spring is a new type of self-centering frame joint. The configuration of this self-centering frame joint is introduced， the finite element model of the self-centering frame is established and the influence of weakening the joint stiffness on dynamic characteristics of structure is analyzed. Then， ten ground motions which were selected based on earthquake platform are input into self-centering frame model to simulate the dynamic time-history responses of the structures with different joint stiffness ratios. Finally， the inter-story drift amplification coefficient and the base earthquake-reduction coefficient were obtained from the time-history dynamic analysis to research reasonable range of joint stiffness ratio. The analytical results show that the base earthquake-reduction coefficient is 0.40 to 0.27 and the reasonable range of the joint relative stiffness ratio is 0.4 to 1.0.