A system for stabilizing a motor vehicle including at least one speed sensor for sensing a longitudinal speed and a transversal speed of the motor vehicle; a calculation unit which is designed to calculate an attitude angle of the motor vehicle from the sensed vehicle longitudinal speed and the sensed vehicle transversal speed; an evaluation unit which is coupled to the calculation unit and is designed to compare the attitude angle with a predefined threshold value and to detect an oversteering situation if the attitude angle exceeds the threshold value; an actuation unit which is coupled to the evaluation unit, and an actuator which influences the driving behavior of the motor vehicle, wherein the actuation unit is designed to actuate the actuator in an oversteering situation. In addition, a method which the system is suitable for carrying out is disclosed.