A combination of a rolling-bearing unit for wheels and a constant velocity joint, the rolling-bearing unit comprising a stationary outer ring assembly with a fist installation flange for suspension and outer-ring raceways, and a rotatable inner ring assembly with a second installation flange for supporting a vehicle wheel and inner-ring raceways, and a housing portion serving as the outer ring of the constant velocity joint, rolling members between the outer-ring raceways and inner-ring raceways, and the constant velocity joint comprising an inner ring attached to the end of the drive shaft, inner and outer engagement grooves having an arc-shaped cross section perpendicular to the circumferential direction of the outer and inner peripheral surfaces of the housing portion such that the outer engagement grooves face the inner engagement grooves, respectively, a cage formed with longer and shorter pockets in the positions in alignment with the inner and outer engagement grooves, and eight balls held inside the pockets to rotate freely along the inner and outer engagement grooves.