A fixed type constant velocity universal joint, comprising: an outer joint member having a spherical inner peripheral surface provided with a plurality of track grooves extending in an axial direction, and having an opening side and a depth side spaced apart from each other in the axial direction; an inner joint member having a spherical outer peripheral surface provided with a plurality of track grooves that are paired with the plurality of track grooves of the outer joint member; a plurality of balls for transmitting torque, the plurality of balls being interposed between the plurality of track grooves of the outer joint member and the plurality of track grooves of the inner joint member; and a cage for holding the plurality of balls, the cage having a spherical outer peripheral surface and a spherical inner peripheral surface that are fitted respectively to the spherical inner peripheral surface of the outer joint member and the spherical outer peripheral surface of the inner joint member, wherein the plurality of track grooves of the outer joint member comprise first track groove portions each located on the depth side and second track groove portions each located on the opening side, the first track groove portions each comprise a circular-arc ball-raceway center line (Xa) having a curvature center that is prevented from being offset in the axial direction with respect to a joint center, wherein planes each including at least the circular-arc ball-raceway center line (Xa) and the joint center are inclined with respect to the joint axial line (N-N) so that inclination directions of the planes adjacent to each other in the circumferential direction are opposite to each other, the second track groove portions each comprise a ball-raceway center line (Xb) formed into a shape different from a shape of the circular-arc ball-raceway center line (Xa) of each of the first track groove portions, the circular-arc ball-raceway center line (Xa) of the each of the first track groove portions comprises an end portion located on the opening side with respect to the joint center, and the circular-arc ball-raceway center line (Xa) and the ball-raceway center line (Xb) of each of the second track groove portions are connected to each other at the end portion to form a ball-raceway center line, each of the plurality of track grooves of the inner joint member has a ball-raceway center line formed to be mirror-image symmetrical with the ball-raceway center line of corresponding one of the plurality of paired track grooves of the outer joint member with respect to a plane including the joint center at an operating angle of 0°. an outer joint member having a spherical inner peripheral surface provided with a plurality of track grooves extending in an axial direction, and having an opening side and a depth side spaced apart from each other in the axial direction; an inner joint member having a spherical outer peripheral surface provided with a plurality of track grooves that are paired with the plurality of track grooves of the outer joint member; a plurality of balls for transmitting torque, the plurality of balls being interposed between the plurality of track grooves of the outer joint member and the plurality of track grooves of the inner joint member; and a cage for holding the plurality of balls, the cage having a spherical outer peripheral surface and a spherical inner peripheral surface that are fitted respectively to the spherical inner peripheral surface of the outer joint member and the spherical outer peripheral surface of the inner joint member, wherein the plurality of track grooves of the outer joint member comprise first track groove portions each located on the depth side and second track groove portions each located on the opening side, the first track groove portions each comprise a circular-arc ball-raceway center line (Xa) having a curvature center that is prevented from being offset in the axial direction with respect to a joint center, wherein planes each including at least the circular-arc ball-raceway center line (Xa) and the joint center are inclined with respect to the joint axial line (N-N) so that inclination directions of the planes adjacent to each other in the circumferential direction are opposite to each other, the second track groove portions each comprise a ball-raceway center line (Xb) formed into a shape different from a shape of the circular-arc ball-raceway center line (Xa) of each of the first track groove portions, the circular-arc ball-raceway center line (Xa) of the each of the first track groove portions comprises an end portion located on the opening side with respect to the joint center, and the circular-arc ball-raceway center line (Xa) and the ball-raceway center line (Xb) of each of the second track groove portions are connected to each other at the end portion to form a ball-raceway center line, each of the plurality of track grooves of the inner joint member has a ball-raceway center line formed to be mirror-image symmetrical with the ball-raceway center line of corresponding one of the plurality of paired track grooves of the outer joint member with respect to a plane including the joint center at an operating angle of 0°.