A method for influencing the roll response of motor vehicles having at least three wheels, the method using transverse forces acting on the center of gravity to reduce vehicle body motion. A two-part stabilizer for a vehicle axle, in which a hydraulic actuator is integrated, and which can twist the two stabilizer halves with respect to one another, is used. The moment introduced into the stabilizer is transferred to the respective knuckles via the stabilizer leg. A roll moment resulting from the transverse force acting on the vehicle is compensated by this moment. Roll behavior with respect to accuracy and speed of response is improved.