A wheel bearing apparatus has a double row angular contact ball bearing. A height of a shoulder of a shoulder portion (18) of an outer member (12) with respect to a ball diameter of a double ball (14) row is set in a range of 0.35 to 0.50 mm. A corner (19) of the shoulder portion (18) has a relief surface (19a) and a chamfered portion (19b). The relief surface is on a straight line that is on a tangent line of an outer raceway surface (12a). The chamfered portion (19b) is round in a circular arc with a predetermined radius of curvature r. The corner (19) is formed simultaneously by a formed grinding wheel forming the double row outer raceway surface (12a). The corner is formed smoothly continuous from each outer raceway surface (12a). A length in the radial direction of the relief surface (19a) is set greater than or equal to 0.2 mm.