A procedure for laying railway tracks on a trackbed on which sleepers are located, characterised in that it comprises at least the following steps: - a) approach of a track laying train with the stretches of rail to be laid in the laying area; - b) joining of pairs of rails to the consecutive rails by means of tractor plates that comprise a support element (210, 220) that comprises a first part and a second part that comprise the corresponding rail gripping elements such that the gripping element is located at each of the faces of the rail web, where the gripping element is able to slide with respect to the support element (210, 220) in the longitudinal direction of the rail, so that when the gripping element is moved in the direction of pull of the rail, it clamps on the rail web; - c) unloading the pairs of rails joined by means of the tractor plates from the track laying train onto the bed; - d) squaring of the sleepers by means of a squaring device that comprises extensible positioning elements located between consecutive sleepers parallel to the direction of the rail and the extension of those positioning elements in the direction parallel to the rail; - e) joining of the consecutive pairs of rails unloaded by means of a joint plate that comprises corresponding stabilising parts located longitudinally to the rails to be joined, with a top internal surface and a bottom internal surface located in contact with the base of the head and the base of the foot of the rails to be joined and these stabilising parts are subsequently tightened onto the rails to be joined; - f) unloading of ballast in hoppers onto the bed; - g) tamping of the rails; - h) profiling of the ballast by means of a profiling device coupled to an earthmoving machine; - i) welding of the rails. - a) approach of a track laying train with the stretches of rail to be laid in the laying area; - b) joining of pairs of rails to the consecutive rails by means of tractor plates that comprise a support element (210, 220) that comprises a first part and a second part that comprise the corresponding rail gripping elements such that the gripping element is located at each of the faces of the rail web, where the gripping element is able to slide with respect to the support element (210, 220) in the longitudinal direction of the rail, so that when the gripping element is moved in the direction of pull of the rail, it clamps on the rail web; - c) unloading the pairs of rails joined by means of the tractor plates from the track laying train onto the bed; - d) squaring of the sleepers by means of a squaring device that comprises extensible positioning elements located between consecutive sleepers parallel to the direction of the rail and the extension of those positioning elements in the direction parallel to the rail; - e) joining of the consecutive pairs of rails unloaded by means of a joint plate that comprises corresponding stabilising parts located longitudinally to the rails to be joined, with a top internal surface and a bottom internal surface located in contact with the base of the head and the base of the foot of the rails to be joined and these stabilising parts are subsequently tightened onto the rails to be joined; - f) unloading of ballast in hoppers onto the bed; - g) tamping of the rails; - h) profiling of the ballast by means of a profiling device coupled to an earthmoving machine; - i) welding of the rails.