A method for determining an initiation threshold value for an automatic braking process, in which an automatic braking process is used and a brake pressure is produced which is greater than the brake pressure which corresponds to the operation of the brake pedal by the driver. Short distances between vehicles increase the risk of accidents. If a driver operates the brakes when there is a short distance between the vehicle and the preceding vehicle, in the vast majority of cases, the driver of the following vehicle is often required to perform an emergency braking due to the short distance between the vehicles. To improve the safety of vehicles, an emergency braking is performed, as quickly as possible, when the distance between vehicles is short. This emergency braking, within what is physically possible, ensures rapid deceleration of the vehicle and thus helps to avoid rear-impact accidents. While performing the automatic braking process, the method incorporates a reduction of the initiation threshold value if it is determined that the distance to a preceding vehicle is less than a predetermined limit.