An assembly of a self-ligating bracket intended to be part of an orthodontic apparatus. The bracket having in the longitudinal direction thereof an outer face and an occlusal face and being provided on the outer face thereof with a groove for holding an orthodontic arch wire. An elastic clip that can be moved in a reversible manner between an open position, leaving a free passage for the insertion of the arch wire into the groove or the extraction of the arch wire from the groove, and a closed position closing off the groove. The clip being moveable between said positions by a rotational movement, without the clip sliding in translation.
