A railroad rail is secured to a support normally constituted by a rail-fastening plate by means of a bolt engaged in this plate and a clip pressed by the bolt downwardly on one side against the plate and on the other side against the flange of the rail. To this end the clip is unitarily formed from a single piece of steel wire with a support leg that rests on the support and has one end connected via a bight extending over a ridge on the support to a bearing leg that bears on the flange of the rail. The other end of the support leg is extended to form an eye through which the bolt passes and the wire forming this clip has a bent-down end at the eye that limits the tightening of the bolt by abutment with the top of the ridge. Thus the support leg is twisted about its straight axis when the fastener is tightened for torsional loading.