A universal joint is provided, and more specifically a constant-velocity type of universal joint particularly for use in a drive train of a front wheel drive vehicle. The universal joint resembles a flexible bellows-type of joint as viewed from the side in elevation but is made primarily of elongate elements which are placed in tension to transmit torque from one shaft to another. The body of the universal joint has at least two large diameter portions and a smaller diameter portion therebetween with the elongate element extending diagonally in both directions between the peripheries of the large diameter portions to provide torque transmittal in both directions. The universal joint preferably is produced from a continuous flexible element which is moved transversely or back and forth beyond two circular core members which are positioned coaxially and spaced apart a distance equal to that of the large diameter portions of the universal joint. The circular members are then rotated as the elongate element is moved back and forth to provide the diagonally-extending bridging elements or lines and also form anchor portions or chords at the outer faces of the circular members. The crossing points of the bridging lines form the small diameter portion of the universal joint.