A constant velocity universal joint (10) and a method for assembly thereof. The constant velocity universal joint (10) has an inner race (12) having a plurality of ball tracks (24). At least one ball track has an edge (30) chamfered to provide a second diametral width (31) which allows the inner race (12) to be inserted into a cage (14). There is no requirement for the cage windows (38) to be enlarged or the inner race lobes (25) to be modified in any other way to accept the inner race during assembly. The design and method of assembly provide for a more durable constant velocity joint assembly.