Safety confinement equipment for laser radiation includes a safety confinement enclosure having two laterally opposite openings through which at least one metal strip can pass, the enclosure including first and second jaw devices for clamping the strip disposed on a path of travel of the strip between the two openings, the jaws being transversely disposed at least over the width of the strip. A cutting or welding equipment head emits a beam of laser radiation to be confined, in which the beam can be moved transversely between a pair of jaws disposed opposite each other on one side of a surface of the strip. In the position in which the jaws clamp the strip, the engagement of the jaws on the surfaces of the strip induces the formation of a physical screen against the laser radiation, which prevents the radiation from passing through the two openings of the chamber.