In an arrangement of a running roller on a coupling journal of a coupling half of a moveable shaft coupling, a radial rolling bearing, the inner ring of which is connected to the coupling journal by a ball joint, is inserted into the running roller. In order to maintain an additional degree of freedom for the relative movements of the coupling journal in relation to the complementary coupling half in the directions perpendicular to the central axis of the latter, either the running face of the running roller is configured cylindrically or the rolling bearing is configured as a loose bearing.