A tensioning element anchor comprising a wedge intended for being introduced into a casing and surrounded by the tensioning element and a rod, for the securing of the anchor, coupled to the casing, the casing being characterised in that it comprises: - a supporting base configured by means of a sheet formed with a U-shaped section where a part of the length of the flanges has a trapezoid configuration increasing in height from one of the extremities to an intermediate area, with the inclined free edge being bent towards the inside of the U forming an elongated stop, - a rectangular frontal plate with bent smaller extremities to limit a planar area having a length similar to the length of the elongated stop and a width which is smaller than the distance between the flanges of the supporting base and greater than the distance separating both elongated stops, - a rectangular rearward plate in which one of the smaller sides features a pair of perpendicular projections, and - a bush with a T-shaped cross-section which features a threaded through-hole, wherein, - the frontal plate is located inside the supporting base supported on the elongated stops and with the bent smaller extremities arranged on the outside with respect to the supporting base when the wedge is introduced, - the projections of the rearward plate are introduced into holes featured on the supporting base in such a way that the rearward plate is secured to the supporting base, - the bush is coupled in side openings and in a lower opening of the supporting base, and - the threaded through-hole of the bush is intended for receiving the securing rod preventing the rod from becoming separated from the bush, in such a way that the coupling of the wedge on the frontal plate and the rearward plate of the casing, with the tensioning element surrounding the wedge, creates a solid fixing as the securing rod is held by its free extremity and the tensioning element is subjected to load. - a supporting base configured by means of a sheet formed with a U-shaped section where a part of the length of the flanges has a trapezoid configuration increasing in height from one of the extremities to an intermediate area, with the inclined free edge being bent towards the inside of the U forming an elongated stop, - a rectangular frontal plate with bent smaller extremities to limit a planar area having a length similar to the length of the elongated stop and a width which is smaller than the distance between the flanges of the supporting base and greater than the distance separating both elongated stops, - a rectangular rearward plate in which one of the smaller sides features a pair of perpendicular projections, and - a bush with a T-shaped cross-section which features a threaded through-hole, wherein, - the frontal plate is located inside the supporting base supported on the elongated stops and with the bent smaller extremities arranged on the outside with respect to the supporting base when the wedge is introduced, - the projections of the rearward plate are introduced into holes featured on the supporting base in such a way that the rearward plate is secured to the supporting base, - the bush is coupled in side openings and in a lower opening of the supporting base, and - the threaded through-hole of the bush is intended for receiving the securing rod preventing the rod from becoming separated from the bush,