Abstract: The effect of energetic trapped Particles on the stabilization of ballooning modes infinite-aspect-ratio tokamaks is numeically analyzed. The numerical solution of the corresponding integro-differential equation is obtained. Numerical results show that the instability domain of ballooning modes becomes smaller with the energetic particles pressure and the toroidal effect enhancing. The energetic trapped particles can Partially or completely stabilize the instability of ballooning modes.