A fixed type constant velocity universal joint prevents heat generation when a high load is applied or during high-speed rotation to improve durability, and suppresses a contact resistance between a cage and inner and outer races to improve constant velocity performance. Curvature centers of track grooves of outer and inner joint members have an offset of 0 in an axial direction. Track grooves of the outer and inner joint members, which are tilted in opposite directions from each other with respect to an axis line, are alternately formed in a circumferential direction. An outer surface of the inner joint member is a spherical surface to be brought into sliding contact with an inner spherical surface of the cage. An inner surface of the outer joint member is a cylindrical surface.