A vehicle wheel bearing apparatus has an outer member with an integrally formed mounting body mounting flange and double row outer raceway surfaces formed on its inner circumferential surface. An inner member includes a wheel hub with an integrally formed wheel mounting flange at one end. One inner raceway surface is formed on the outer circumferential surface of the wheel hub. An inner ring is fit onto a cylindrical portion of the wheel hub. One end of the inner ring abuts a shoulder on the wheel hub. The inner ring is formed with the other inner raceway surface on its outer circumferential surface. Double row rolling elements are freely rollably contained, via a cage, between the inner and outer raceway surfaces, respectively, of the inner and outer members. A corner, between the shoulders of the wheel hub and the cylindrical portion, is defined by a compound curve.