A vehicle wheel bearing apparatus has an outer member (2, 30) formed with double row outer raceway surfaces (2a, 2b) on its inner circumferential surface. Inner members (1, 20, 29, 35, 38) are each formed with double row inner raceway surfaces (4a, 5a, 31a) on its outer circumferential surface arranged opposite to the double row outer raceway surfaces (2a, 2b). Double row ball groups (3) are freely rollably contained between the outer raceway surfaces (2a, 2b) and inner raceway surfaces (4a, 5a, 31a) of the inner members (1, 20, 29, 35, 38) and the outer member (2, 30). A pitch circle diameter (PCDo) of a ball group (3) near a wheel mounting flange (6) is larger than a pitch circle diameter (PCDi) of a ball group (3) away from the wheel mounting flange (6). Each corner of the shoulders of the outer and inner raceway surfaces (2a, 2b, 4a, 5a, 31a) is rounded as a smooth circular arc.