The work aims to propose a numerical simulation method of metal rubber for engineering calculation, so as to provide a theoretical basis for preparing metal rubber materials with good damping properties. A finite element model of metal rubber damper was established, and the metal rubber material was defined by Sprng-Dampr165 element. Through numerical simulation, the effect of different load masses on the shock resistance was calculated, and the feasibility was analyzed comparatively. According to the finite element results, the maximum error of response acceleration peak was 27.72% when the load mass was 4.2 kg. When the load mass was 9.8 kg, the maximum error was 38.15%, and the test results had the same trend as the finite element results, which verified the feasibility. When the impact load is small, the proposed numerical simulation method has a good performance in simulating the shock resistance of metal rubber damper.