Abstract: A self-aligning coupling between a driving member and a driven member as a cross-disc member in which the members define a pair of linear slots at right angles to one another and have axial faces adjoining the flanks of these slots. The cross-disc member has ledges received in the slots and planar surfaces parallel to the flanks and axial faces, but spaced therefrom. L-section bearing cages with arrays of parallel needle bearings in each leg of the L are provided between the flanks and adjoining faces of one member and the juxtaposed flanks and adjoining faces of the other member so that the roller axes of each cage are orthogonal to one another.