Provided is a fixed type constant velocity universal joint (1) of a track groove crossing type, in which track grooves (9) of an inner joint member (3) are formed so as to be mirror-image symmetrical with the paired track grooves (7) of an outer joint member (2) with respect to a joint center plane (P) at an operating angle of 0°. The track grooves (7, 9) of both the joint members (2, 3) each have a length corresponding to a maximum operating angle (θmax) required for a propeller shaft, and surface treatment is performed, for example, on a defined surface of each of the track grooves (7) of the outer joint member (2) so as to reduce frictional resistance (sliding resistance) against balls (4).