A fixed-center constant velocity joint (20) has a race (22) located concentrically to a rotational first axis (24), and a ring-shaped cage (26) located concentrically to a rotational second axis (27). Both the race and the cage are centered to a common center point lying on the first and second axes regardless of the angular state of the joint. A spherical surface (44) carried by the race radially opposes a spherical face (102) carried by the cage for angular movement with respect to the center point. The surface and face are in close or contacting relationship to prevent telescoping movement with respect to the first and second axes.