A method of forging an outer joint member (2, 72) of a constant velocity universal joint (1,71), the constant velocity universal joint (1, 71) comprising: an outer joint member (2, 72) having a spherical inner peripheral surface (6, 76) in which a plurality of track grooves (7, 77) are formed; an inner joint member (3, 73) having a spherical outer peripheral surface (8, 78) in which a plurality of track grooves (9, 79) are formed so as to be paired with the track grooves (7, 77) of the outer joint member (2, 72); a plurality of balls, which are interposed between the track grooves (7, 77) of the outer joint member (2, 72) and the track grooves (9, 79) of the inner joint member (3, 73), and are configured to transmit torque; and a cage (5, 75), which is interposed between the spherical inner peripheral surface (6, 76) of the outer joint member (2, 72) and the spherical outer peripheral surface (8, 78) of the inner joint member (3, 73), and is configured to hold the balls, the track grooves (7, 77) of the outer joint member (2, 72) and the track grooves (9, 79) of the inner joint member (3, 73) each having an arc-shaped ball raceway center line (X, Y) having a curvature center that is prevented from being offset in an axial direction with respect to a joint center, a plane including the ball raceway center line (M, Q) and the joint center being inclined in a circumferential direction with respect to a joint axial line, each of the track grooves (7, 77) of the outer joint member (2, 72) and each of the track grooves (9, 79) of the inner joint member (3, 73), which are paired with each other, being inclined in mutually opposite directions, the method comprising performing ironing by press-fitting a cylindrical portion (W1b), which is formed on one end of a shaft portion (W1c) of a pre-processing material of the outer joint member (2, 72) comprising the shaft portion (W1c) and the cylindrical portion (W1b), into a hole of a die in a state in which a punch set that is radially expandable and contractable is fitted to an inner peripheral surface of the cylindrical portion (W1b), the punch set comprising: at least a plurality of punches; and a punch base configured to guide the punches so as to enable advancing and retreating, characterized by each of the punches having a pair of forming surfaces (27A, 27B) for forming the adjacent track grooves. an outer joint member (2, 72) having a spherical inner peripheral surface (6, 76) in which a plurality of track grooves (7, 77) are formed; an inner joint member (3, 73) having a spherical outer peripheral surface (8, 78) in which a plurality of track grooves (9, 79) are formed so as to be paired with the track grooves (7, 77) of the outer joint member (2, 72); a plurality of balls, which are interposed between the track grooves (7, 77) of the outer joint member (2, 72) and the track grooves (9, 79) of the inner joint member (3, 73), and are configured to transmit torque; and a cage (5, 75), which is interposed between the spherical inner peripheral surface (6, 76) of the outer joint member (2, 72) and the spherical outer peripheral surface (8, 78) of the inner joint member (3, 73), and is configured to hold the balls, at least a plurality of punches; and a punch base configured to guide the punches so as to enable advancing and retreating,