A fixed type constant velocity universal joint of an eight-ball undercut-free type has improved torque capacity at high operating angle while ensuring durability at low operating angle. Centers of a track groove (32) of an outer joint member and a track groove (35) of an inner joint member are respectively separated from a center plane (P) toward axially different sides, and are offset away from a joint center axis (X) to a radially opposite side relative to grooves (35). When Rt represents a distance between a center of a ball (37) and the center of groove (32), and F represents an axial distance between plane (P) and the center of groove (32), a ratio R1 between F and Rt is 0.061≦R1≦0.087. When fr represents a radial offset amount as a distance between axis (X) and the center of groove (32), a ratio R3 between fr and Rt is 0.07≦R3≦0.19.