Based on the thermokinetic theory, a novel thermokinetic research method——self-function regression method,which could be used to determine the kinetic parameters kl, k2 and k-l of the complex reaction: B+C→←K-1^K1I→^K2P, was proposed in this paper. The kinetics of the reaction of ascorbic acid (H2A) with hydrogen peroxide was investigated at pH=5--7 and T=298.15 K, and the kinetic parameters kl, k2 and k-l were obtained with this method. The kinetics of the reaction was investigated in detail. The kinetic parameters of the oxidation of ascorbic monoanion (HA^-) and ascorbic dianion (A^2-) with hydrogen peroxide were 3.33×10^-3s^-l and 25.48s^-l at 298.15K, respectively. The molar enthalpy change for the reaction was -554.64kJ·mol^-l in phosphate buffer solution at pH 7 and at 298.15K.