A new hysteresis model for high-damping rubber bearings is proposed, which has been developed based on an elasto-plastic, integral type deformation history constitutive law. One of the characteristics of the proposed model is the applicability of the same material parameters as the proposed model to finite element method analyses. Firstly, we derive the horizontal biaxial hysteresis model from the elasto-plastic constitutive law. Next, we compare the results of numerical analyses using the proposed hysteresis model with experimental results for tests of high-damping rubber bearings subjected to horizontal biaxial loading, and verify the validity of the proposed model. Lastly, we perform finite element method analyses and numerical analyses using a multi-shear springs model, and the results from each of these cases are compared with results given by the proposed model.