An inner race 5 is retained by a crimped portion 30, so that a pre-load is applied to rolling elements 6. A bearing unit for wheel support 1 is connected to a constant velocity joint 2 through tightening of a nut 24. By regulating the tightening force of the nut 24, at the area of contact between the inside end of the crimped portion 30 and the outside end of the outer ring of the constant velocity joint 14, the load per unit length is controlled up to 125 N/mm, or the surface pressure is controlled up to 1.5.times.10.sup.8 Pa. Consequently, a bearing unit for wheel support is realized at a low cost with the pre-load securely applied, preventing unpleasant noise from occurring during operation, and preventing play due to plastic deformation.