To prevent any abnormal noise at an abutting part of an inner end face of a caulking part 30 on an outer end face of an outer ring 14 for a constant velocity joint or any wear of the abutting part caused by the fluctuation of the torque transmitted between a drive shaft member 18 and a hub 4b.

A recessed groove 34 is formed in a center part in the radial direction of a flat surface 32 formed on the inner end face of the caulking part 30, and grease is filled in the recessed groove 34. Since the pressure can be applied to rolling elements 6 and 6 by the caulking part 30, the tightening force of a nut 24a is suppressed to reduce the bearing pressure of the abutting part. In addition, the coefficient of friction of the abutting part can be reduced by the grease, the friction energy of the abutting part is reduced to solve the above problems.