A constant velocity universal joint has track shapes which facilitate quality control on a forging die set, securing higher durability through securement of a stable contact state of forging-molded tracks and finishing-processed tracks with respect to balls. At least one of each of track grooves of an outer joint member and each of track grooves of an inner joint member is formed by cold-forging finishing. A track groove bottom side of the at least one of each of the track grooves is formed into a Gothic arch shape in horizontal cross-section, and a track groove opening side of the at least one of each of the track grooves is are each formed into an elliptical shape in horizontal cross-section.