A double-row angular contact ball bearing is provided with inner and outer rings, balls in two rows, a cage for holding the balls, and non-contact sealing devices made of a substantially disc-like member. Radial outer end portions of a metallic sealing device are respectively fit and swaged into grooves arranged at both axial end portions of the outer ring's inner circumferential surface. The ratio Ts/Tr is equal to or lower than 0.07, where Ts is the sealing device thickness and Tr is the outer ring thickness at the bottom portion of the groove. In addition, the ball diameter is equal to or greater than 75% of a half a bearing width to equal to or greater than 83% thereof. Furthermore, an axial width Tc of the radial outer end portion having a substantially U-shape is equal to or smaller than 2.7 mm.