A vehicle wheel bearing apparatus has an outer member formed with double row outer raceway surfaces on its inner circumferential surface. Inner members are each formed with inner raceway surfaces on their outer circumferential surface. The inner raceway surfaces face opposite to the double row outer raceway surfaces. Double row balls are freely rollably contained between the outer raceway surfaces and inner raceway surfaces. A counter portion is formed near the bottom of each inner raceway surface. The counter portion has an outer diameter larger than, by a run-over height, a diameter of the bottom of each inner raceway surface. The counter portion is formed by a cylindrical portion that axially extends from each inner raceway surface. A tapered portion converges toward the end face of each inner member. Transitions between the counter portion and the inner raceway surface as well as between the cylindrical portion and the tapered portion are rounded and smoothly continuous.