In a method for reducing the rollover risk in vehicles, at least one state variable which characterizes the transverse dynamics of the vehicle is ascertained and is used as the basis for an intervention into the steering system and the braking system which stabilizes the vehicle. A multivariable control is carried out in which two control loops are superimposed, the first control loop being based on control of the yaw rate and the second control loop being based on control of the transverse acceleration. The steering system as well as the braking system may be adjusted via the first and second control loops.