In a method and a device for predicting movement trajectories of a vehicle to prevent or reduce the consequences of an imminent collision, in which for predicting the movement trajectories, only those trajectories are considered for which, because of a combination of steering intervention and braking intervention, the forces occurring at the wheels of the vehicle are within the range corresponding to the maximum force transferable from the wheel to the road. Particularly for systems which provide an automatic braking and/or steering intervention for avoiding a collision or reducing the severity of a crash with another object, an automatic braking and/or steering intervention is carried out as a function of the pre-calculated movement trajectories.