An improved anchor fitting (10) for anchoring a tether cord (22) to a hollow ball (12). The anchor fitting (10) includes an anchor body (16) comprising a shank portion (18) and a head (20) at one end of the shank portion. The anchor body is received in a hole (14) in the wall of the ball and defines an axial passage through which the tether cord extends. The anchor fitting includes two rigid shoulder-defining bodies (26) and (28) which are located within the ball and which extend perpendicularly relative to one another when assembled. The shoulder-defining bodies define holes in which the shank portion of the anchor body is received, with the head (20) abutting an inner side of the shoulder-defining body (28). A flexible resilient rubber washer (34) is located between the shoulder-defining bodies and an interior side of the wall for absorption of impact forces acting on the wall of the ball when the ball is struck by a bat.