PURPOSE: To very quickly check instabilities in vehicle driving and to very quickly prevent occurrence of instabilities in vehicle driving by a rapid detection of driving conditions with regard to yaw movements of a vehicle. CONSTITUTION: An actual value of the yaw angle rate μist is formed from a sensor signal of a vehicle 10 and is subtracted from a desired value of the yaw angle rate μsoll . In this way, a function 8 of a time derivative of the difference is formed, an output signal 7 is generated by a computer unit 1 with respect to the function 8 of a time derivative, and information on whether the vehicle has understeering or oversteering driving is emitted. Then in the case of oversteering driving, the brake pressure is increased for the vehicle front wheel on the outside of the turn. In the case of understeering driving, the brake pressure is increased for the vehicle rear wheel on the inside of the turn.