The present invention relates to a process and a device for the prevention of skidding in vehicles with at least two wheels (1-4) of which at least one (1, 4) is steerable, wherein the actual rotary acceleration of the vehicle along its vertical axis is measured by a rotary accelerometer (8) and compared with the nominal rotary acceleration which is determined by a computer (9) from the turn angle of the steerable wheels (1, 4) and the vehicle speed. The turn angle is measured by an angle measuring device (6), for example, at a steering wheel (5). The speed is measured with a speed pick-up (7) on at least one of the wheels (1-4) of the vehicle. The calculated difference between nominal and actual rotary acceleration is reduced to zero by the real-time generation of a compensation-torque in a device (10). This device (10) might consist of an electric motor (11) driving two contra-rotating flywheels (12) that are selectively decelerated and will stop the skidding process.