Uniaxial tensile tests were conducted on rubber materials at the temperatures of 20, 0 , -10, -20, -30 ℃ and -40 ℃. The test data were fitted with four common hyperelastic constitutive models, the constitutive model parameters at different temperatures were obtained, and the fit goodness were used to evaluate the fitting effects of the models. The results show that Ogden (N=3, N=4) models have better fitting effects. The impacts of ambient temperature and the change of the temperature field (from room temperature 20 ℃ reducing to -40 ℃ gradually) on mechanical property of rubber materials were considered, the stiffness prediction of cone-shape spring under perpendicular loads were conducted at various testing temperatures, and the corresponding stiffness tests were made on products. The test results show that the stiffness prediction accuracy has a significantly increasing if the impact of the temperature field change on mechanical property of rubber materials was considered in simulation analysis. At the the ambient temperature less than -20 ℃, it is necessary to consider the impact of thermal stress in the temperature field change on the stiffness prediction of rubber spring in simulation analysis.