A vehicle wheel bearing apparatus has an outer member, an inner member, and double row balls contained between the outer and inner raceway surfaces and adapted to be applied a predetermined contact angle. Each inner raceway surface is formed by a first circular arc section, with a first radius of curvature (r), that extends from a position near a contact point contacting the ball at an initial contact angle (α) to the raceway bottom. The second circular arc section, with a second radius of curvature (r1) smaller than the radius of curvature r, extends from an inflection point that the ball contacts at a contact angle (α1) to the radially outer side. The (r) and (r1) are set as 1.05 d