A method of manufacturing an outer joint member of a constant velocity universal joint includes forming cup and shaft members of medium carbon steel, the cup member being manufactured by preparing a cup member having cylindrical and bottom portions being integrally formed, and a fitting hole formed in a thick portion of the bottom portion, the shaft member being manufactured by preparing a shaft member having a fitting outer surface formed at an end portion of the shaft member to be joined to the bottom portion of the cup member, and fitting the fitting hole of the cup member to the fitting outer surface of the shaft member. The method also includes welding the cup and shaft members from an inner side of the cup member to a fitted portion between the cup and shaft members.

A fixed type constant velocity universal joint has an outer joint member including first track groove portions and second track groove portions. Each of the first track groove portions includes an arc part having a curvature center that is not offset in an axial direction with respect to a joint center. The first track groove portions are inclined in a peripheral direction of the outer joint member with respect to a joint axial line and adjacent to each other in the peripheral direction with inclination directions opposite to each other. Each of the second track groove portions has a different shape than the first track groove portions. Each of the first track groove portions and each of the second track groove portions are connected to each other at a position on an opening side with respect to the joint center.