Abstract: A novel hybrid damping self-centering brace is proposed. The brace is assembled through a combination of multiple independent modules. The friction energy dissipation module and the viscous damping module are combined to dissipate energy, and the self-centering module uses combined disc springs to provide the recentering force. The working principle of the brace is introduced, and a theoretical restoring force model is established. The effects of loading protocol and design parameters on the hysteretic behaviors of brace are analyzed by numerical simulation. The results show that the hybrid damping self-centering brace exhibits a full flag-shaped hysteretic curve with a self-centering ratio of over 99% after unloading. The energy dissipation capacity of the brace can be improved by increasing the loading frequency, friction force, damping coefficient and hybrid damping ratio, and reducing the pre-pressed force and stiffness of the combined disc springs. When the hybrid damping ratio is 1.5, the energy dissipation of the brace is 40.5% higher than that when the hybrid damping ratio is 0.75. In order to make the brace completely re-center, the pre-pressed force should not be less than the friction force. The predicted results of restoring force model agree well with the numerical simulation results.