A structure for fixing a rail to a tie includes a short stud 24 which is embedded in the concrete 2 of a tie above the longitudinally extending metal strut 4 of the tie and on the axis thereof. Welded to this stud, and even half embedded therein, are upper portions of two arch elements 26 whose branch are divergent on each side of the strut and are bent at their ends in the vicinity of the horizontal central axis of the strut so as to constitute hooks 34.