The invention relates to an orthodontic working arch wire (2) for moving at least one tooth of a dental arch of patient to he treated from a first spatial configuration toward a second spatial configuration, including an element for connecting (42) to the tooth to be treated, which is intended to he attached onto the tooth being treated by snap-fining onto a bracket glued onto one of the surfaces of said tooth, the working arch wire being rigid, the connecting element being movable relative to the orthodontic working arch wire and connected to the orthodontic working arch wire by elastically deformable connecting means (43, 43a).