The purpose of this study is to compare the differences of running styles, Rear-foot strike (RFS) and Fore-foot strike (FFS), concerning the parameters of the vertical mathematical model. The grand reaction forces are measured by force platform under two types of running style with various velocities ranged from 2.23 m/s to 3.21 m/s. A unique set of parameters of the model for each trial is computed by nonlinear programming to minimize the sum of the relative standard error of grand reaction force and the relative error of rebound velocity. The differences of the running styles were considered by using results from parameters of multi-degree of freedom model and motion analysis. The results of this study indicate that the FFS needs less energy than that of RFS because of its contact style and the impulse as the internal forces and the horizontal ground reaction force.