In the kinetic equation of gas phase reaction, the rate of the reaction expressed as the rate of change of the concentration of the species corresponds to a concentration-rate coefficient, and the rate of the reaction expressed as the rate of change of the pressure of the species corresponds to a pressure-rate coefficient. According to the relation between concentration-rate coefficient and pressure-rate coefficient, relationship between the two types of activation energies corresponding to different rate coefficients are deduced by use of Arrhenius equation, the correctness of the relation are proved and the application conditions of the relationship are concluded.