The present invention relates to a method for controlling the position of a vehicle to ensure stable position of a vehicle against tilting due to a rapid change in vehicle speed. The method includes: determining whether a vehicle speed is rapidly changing in a straight direction on the basis of an extent of depression of a pedal that changes a position of a steering wheel and a change in vehicle speed; determining whether the vehicle is tilting on the basis of a change in a yaw-rate by means of the controller when the vehicle speed is rapidly changing in the straight direction; and providing compensation torque in the direction opposite the direction in which the vehicle is tilted by operating a steering motor when the controller determines that the vehicle is tilting.