Abstract: A curve-following device having an optical sensing head which senses a guide zone containing the guide line to be followed and having at least a substantial transverse component, and which is movable along the guide zone at a substantially slower speed than the sensing rate and is connected to a control instrument which forms, from the signals delivered by the sensing head, control signals for the movement of the sensing head along the guide line. Marks associated with the guide line and detectable by the sensing head are detected for tripping further control commmands. At least one separate code zone which is sensed separately from the guide zone is provided at the side of the guide zone.