The uniaxial tensile test of a new type of ethylene propylene diene monomer(EPDM) rubber material was carried out,which could be used for laminated bearings.The applicability of three hyper-elastic constitutive models to this new modified EPDM material were analyzed.The results showed that the Yeoh model had the best fitting effect on the experimental datas.These material parameters for the modified EPDM rubber were obtained and the finite element analysis model for the EPDM standard sample was carried out.The finite element numerical simulation result was basically consistent with the experimental datas.The research results could provide a reference for the numerical simulation of EPDM laminated bearings.