Abstract:A new constitutive relation describing the rubber hyperelastic was derived based on static stiffness testing, generalized Hooke law and strain-energy density, and the static stiffness model of rubber isolator. Dynamic stiffness model with considering of rubber visco-hyperelastic was also proposed with dynamic excitation experiment, this model consists of static stiffness, displacement coefficient and frequency coefficient. Numerical simulation is employed to obtain the resonance frequency of single degree of freedom of mass- isolator system, the result is closely to experiment test which verifies the reasonability and effectiveness of this dynamic model. Research results provide compact and valid method for identifying the static and dynamic models of rubber isolator, and also provide theoretical foundation for studying the dynamics of power machinery with isolators.