A fixed type constant velocity universal joint, comprising: an outer joint member, which has a plurality of track grooves being formed in a spherical inner peripheral surface of the outer joint member and extending substantially in an axial direction, and has an opening side and a back side apart from each other in the axial direction; an inner joint member, which has a plurality of track grooves being formed in a spherical outer peripheral surface of the inner joint member and extending substantially in the axial direction so as to be opposed to the track grooves of the outer joint member; torque transmission balls incorporated in pairs of the track grooves (7, 9) opposed to each other; and a cage configured to retain the torque transmission balls in pockets, the cage comprising: a spherical outer peripheral surface to be guided by the spherical inner peripheral surface of the outer joint member; and a spherical inner peripheral surface to be guided by the spherical outer peripheral surface of the inner joint member, wherein a raceway center line of the track groove of the outer joint member comprises at least an arc-shaped portion having a curvature center that has no offset with respect to a joint center in the axial direction, wherein a plane including the raceway center line and the joint center is inclined with respect to an axis (N-N) of the joint, and the track groove is formed with such an inclination direction of the plane that the track grooves adjacent to each other in a circumferential direction are inclined in opposite directions, and wherein a raceway center line of the track groove of the inner joint member is formed so as to be mirror-symmetric with the raceway center line of the paired track groove of the outer joint member with a plane including the joint center and being orthogonal to the axis (N-N) of the joint in a state of an operating angle of 0° as a reference, characterized in that when a large operating angle is taken, an operating angle (θ2) at which the torque transmission ball loses a contact with the track groove of the inner joint member is larger than an operating angle (θ1) at which the torque transmission ball loses a contact with the track groove of the outer joint member. an outer joint member, which has a plurality of track grooves being formed in a spherical inner peripheral surface of the outer joint member and extending substantially in an axial direction, and has an opening side and a back side apart from each other in the axial direction; an inner joint member, which has a plurality of track grooves being formed in a spherical outer peripheral surface of the inner joint member and extending substantially in the axial direction so as to be opposed to the track grooves of the outer joint member; torque transmission balls incorporated in pairs of the track grooves (7, 9) opposed to each other; and a cage configured to retain the torque transmission balls in pockets, the cage comprising: a spherical outer peripheral surface to be guided by the spherical inner peripheral surface of the outer joint member; and a spherical inner peripheral surface to be guided by the spherical outer peripheral surface of the inner joint member, a spherical outer peripheral surface to be guided by the spherical inner peripheral surface of the outer joint member; and a spherical inner peripheral surface to be guided by the spherical outer peripheral surface of the inner joint member, wherein a raceway center line of the track groove of the outer joint member comprises at least an arc-shaped portion having a curvature center that has no offset with respect to a joint center in the axial direction, wherein a plane including the raceway center line and the joint center is inclined with respect to an axis (N-N) of the joint, and the track groove is formed with such an inclination direction of the plane that the track grooves adjacent to each other in a circumferential direction are inclined in opposite directions, and wherein a raceway center line of the track groove of the inner joint member is formed so as to be mirror-symmetric with the raceway center line of the paired track groove of the outer joint member with a plane including the joint center and being orthogonal to the axis (N-N) of the joint in a state of an operating angle of 0° as a reference,