Coupling (30, 49, 61; 40, 60) with coupling ring on two coupling parts (8, 9), where the coupling parts (8, 9) each have a star (2, 3) with star arms (26, 27) and star arm end regions (4, 5), where the two stars (2, 3) are located opposite and axially to each other at an angle and the star arm end regions (4, 5) have at least one threaded borehole for the screw connections, where - the coupling ring has several fastening elements (10, 11) with at least one continuous borehole (12, 13) aligned radially with the ring axis that are aligned with the axis of the coupling ring running around the ring, where continuous boreholes (12, 13) exist for one screw connection only radially aligned for fastening of the fastening elements (10, 11) at the threaded boreholes of the star arm end region (4, 5) at each star aligned radially to the ring axis, - an elastic spring element exists between each of the adjacent, aligned fastening elements (10, 11) running around the ring, - the fastening elements (10, 11) of the coupling ring each have a surface axially aligned with the ring axis corresponding to each of the axially aligned surfaces of the star end regions (4, 5) during assembly, characterized by the fact that - the star arm end regions (4, 5) adjusted to the fastening elements (10, 11) of the coupling ring, each corresponding to one star (2, 3) represent end regions of a star arm (26, 27) originating from a central area of the star (2, 3), where the end regions have a surface aligned with the fastening elements (10, 11), which have a contact connection to the surface at the inner end region of the respective fastening element (10, 11), - where the alternating arrangement of the fastening elements (10, 11) running around the ring and the elastic spring elements each attached to the respective fastening element (10, 11) in a simultaneous vulcanizing process form a coupling ring made in a simultaneous vulcanizing process, which is screwed as a whole to the two axially offset star arm end regions (4, 5) - so that the coupling ring forms an elastic, undivided coupling ring allowing uniform tangential pre-tension generation, where the tangential pre-tension creation refers to the two axially aligned stars (2, 3) at an angle of the two coupling parts (8, 9). - the coupling ring has several fastening elements (10, 11) with at least one continuous borehole (12, 13) aligned radially with the ring axis that are aligned with the axis of the coupling ring running around the ring, where continuous boreholes (12, 13) exist for one screw connection only radially aligned for fastening of the fastening elements (10, 11) at the threaded boreholes of the star arm end region (4, 5) at each star aligned radially to the ring axis, - an elastic spring element exists between each of the adjacent, aligned fastening elements (10, 11) running around the ring, - the fastening elements (10, 11) of the coupling ring each have a surface axially aligned with the ring axis corresponding to each of the axially aligned surfaces of the star end regions (4, 5) during assembly, characterized by the fact - the star arm end regions (4, 5) adjusted to the fastening elements (10, 11) of the coupling ring, each corresponding to one star (2, 3) represent end regions of a star arm (26, 27) originating from a central area of the star (2, 3), where the end regions have a surface aligned with the fastening elements (10, 11), which have a contact connection to the surface at the inner end region of the respective fastening element (10, 11), - where the alternating arrangement of the fastening elements (10, 11) running around the ring and the elastic spring elements each attached to the respective fastening element (10, 11) in a simultaneous vulcanizing process form a coupling ring made in a simultaneous vulcanizing process, which is screwed as a whole to the two axially offset star arm end regions (4, 5) - so that the coupling ring forms an elastic, undivided coupling ring allowing uniform tangential pre-tension generation, where the tangential pre-tension creation refers to the two axially aligned stars (2, 3) at an angle of the two coupling parts (8, 9).