Abstract: The invention relates to a method for guiding a machining head, in particular a laser machining head (10), along a track (23) to be machined, in which a line of light (16) is projected onto the track (23) to be machined, transversely with respect to the latter, at a distance (d) in front of the machining point (14) in the machining direction, in which, from images of the line of light (16) recorded continuously during the machining, the position y(Pn) of the track (23) in front of the machining point (14) is determined, and in which the machining point (14) is aligned with the track (23) as soon as the machining point (14) reaches the respective point (Pn) on the track (23) for which the position y(Pn) of the track (23) was determined.