A constant-velocity universal joint includes: an outer joint member having a plurality of outer ball grooves; an inner joint member having a plurality of inner ball grooves; a plurality of torque transmitting balls; and a ball cage. The outer ball groove and the inner ball groove respectively have a double shape, and a ratio O/H of an offset value O which is a distance between an inflection point of the outer ball groove and a line connecting centers of the torque transmitting balls in a state that the outer joint member and the inner joint member form 0 angle and a distance H between a center line of the inner joint member and a center of the torque transmitting ball in a state that the outer joint member and the inner joint member form 0 angle is within a range of 0.07 to 0.11.