Abstract：In order to study the seismic isolation performance of shape memory alloy (SMA)-laminated rubber bearing under multi-earthquake, Auricchio＆Sacco constitutive model was adopted for numerical simulation of SMA. The results show that the model can simulate the super elastic properties of SMA materials. The effect of strain amplitude, loading rate and cyclic number of SMA on the mechanical properties of SMA was studied and SMA laminated rubber bearing model was established. By using finite element method, restoring force-displacement hysteretic curves was obtained. Variables of displacement and load of bearing horizontal equivalent stiffness, equivalent damping ratio and energy dissipation capacity per cycle were analyzed. The results show that SMA-laminated rubber bearings in the earthquake has good energy dissipation capacity and the horizontal stiffness and with the aggravation of the earthquake disaster. These excellent characteristics shows stable upward trend, that SMA-laminated rubber bearings have a better vibration isolation effect.