The invention relates to a vehicle braking system having regulating devices determining the transversely dynamic behavior of the vehicle, in order to maintain or restore stable vehicle behavior, by setting the braking torque on individual vehicle wheels independently of the driver. The performance of the braking system is controlled in this manner to help prevent vehicle rollover (overturning laterally) when negotiating curves. This is accomplished by generating a braking torque on the front wheel on the outside of the curve (or increasing a braking torque that is already set).