Based on the experimental data of a magnetorheological elastomer isolator, the Bouc-Wen model is used to establish the nonlinear dynamics model of the magnetorheological elastomer isolator. The parameters of Bouc-Wen model are identified by using the genetic algorithm to verify the accuracy of the model. An improved Bingham model is proposed, the corresponding dynamics model of the magnetorheological elastormer isolator is established, and its parameters are identified. The advantages and disadvantages of the two models are compared with each other.