<p>A small-sized constant velocity universal joint having high strength and excellent operability and durability. The constant velocity universal joint satisfies the expression of 11.0° = f<SUB>T</SUB> = 15.0°, where f<SUB>T</SUB> is an offset angle formed by the center O<SUB>TO</SUB> of curvature of a guide groove (2b) of an outer member (2), the point Q at which a plane P of the joint and PCD cross, and the center O<SUB>TI</SUB> of curvature of a guide groove (3b) of an inner member (3).</p>