In order to accurately and quickly predict the storage life of rubber, the acceleration coefficients at different acceleration temperatures are calculated based on the stepping stress accelerated aging test of high temperature, and the acceleration factor and absolute temperature reciprocal curve was obtained. For the nonArrhenius characteristic, a power exponential factor was introduced, and a modified Arrhenius model was employed to fit the acceleration coefficient. From the slope of the logarithmic reaction rate and the absolute temperature reciprocal curve, the equivalent linear activation energy of the modified Arrhenius model at different temperature was calculated, which indicated that the activation energy decreased at low temperature. The aging life model at low temperature was established and the aging life of the rubber at 10 ℃, 20℃ and 30 ℃ was evaluated respectively. Evaluation result shows that, it can provide reference for nonArrhenius analysis and life prediction in the corrosion process of related polymer materials.