A control method of a motor driven power steering (MDPS) for a vehicle may include determining a steering angle of a steering wheel of the vehicle; determining a steering torque variation rate of the vehicle; counting an exceeding number of times that the steering torque variation rate exceeds a predetermined value to store the counted number of times in an MDPS system; and deleting the number of times stored in the MDPS system when the exceeding number of times is less than a predetermined number of times, and applying a reverse phase compensation torque to a steering motor when the exceeding number of times is equal to or larger than the predetermined number of times.