An eight-ball fixed type constant velocity universal joint of an undercut free type is capable of increasing a torque capacity at high operating angles while securing durability at low operating angles. When a distance between a center of a track groove and a center of a ball is denoted by Rt, and when an axial distance between the center of the track groove and a joint center plane is denoted by F, a ratio R1 of F to Rt is set to fall within a range of 0.061≦R1≦0.087. When a radial offset amount, which is a distance between the center of the track groove and a joint center axial line is denoted by fr, a ratio R3 of fr to Rt is set to fall within a range of 0.07≦R3≦0.19. When an effective cured-layer depth with Hv 513 is denoted by Di and the diameter of the ball is denoted by d, a bottom surface of a track groove of an inner joint member includes a cured layer with an effective cured-layer depth ratio Di/d of at least 0.111 or more.