Based on the mechanism of strength, the reserved time and curing temperature of epoxy asphalt mixture are studied as the influencing factors of strength, and the range of reserved time and the strength increasing law of epoxy asphalt mixture in different temperatures are determined. Then dynamic differential scanning calorimeter (DSC) curve of epoxy asphalt mixture at different heating rates is measured using DSC. We use the method of nonlinear regression to obtain the key parameters of curing kinetics. Then the model of curing reaction of epoxy asphalt binder is established. The results can guide the production and construction of epoxy asphalt mixture. Meantime, it also can provide reference value on when to open the paving layer to traffic.