A coupling device for transmitting torque from a drive shaft to an output shaft, comprising the following features: 1.1 two couplings (1, 10) are provided; 1.2 each with a primary and a secondary part; 1.3 the primary and secondary parts are twistable against each other to a limited extent against the force of springs; 1.4 the springs comprise plate-shaped spring plates made of rubber-elastic material; 1.5 support plates are arranged between the spring plates; 1.6 several carriers (4, 40) for carrying the spring plates and the support plates are distributed over the circumference of the respective coupling (1, 10); 1.7 each carrier (4, 40), as viewed from above on a coupling axis, has the contour of a wedge which tapers radially inwardly; 1.8 on both sides of each carrier (4, 40), adjacent to the two wedge faces of the carrier (4, 40), there is a packet of spring plates and support plates which alternate; 1.9 the support plates, which are the outer ones as seen in the circumferential direction, of the packets of spring plates and support plates, which packets are adjacent to the two wedge faces of the carrier of a coupling, have a guide strip or a guide groove which cooperates with a corresponding guide strip or guide groove of an adjacent carrier; 1.10 each coupling (1, 10) comprises a star-shaped base body as seen in the direction of the coupling axis; 1.11 the base body comprises a plurality of radially outwardly extending projections (3.1); 1.12 each projection (3.1) carries a carrier (4, 40); 1.13 each carrier (4, 40) is attached to the associated projection (3.1) by means of two screws; characterized by the following features: 1.14 between the two screws there is a positioning pin parallel to the axis of the screws for positioning the carrier (4, 40); 1.15 the secondary part of the first coupling is in drive connection with the primary part of the second coupling via a connecting shaft; 1.16 the one of the two couplings is in drive connection with the drive shaft and the other of the two couplings is in drive connection with the output shaft. 1.1 two couplings (1, 10) are provided; 1.2 each with a primary and a secondary part; 1.3 the primary and secondary parts are twistable against each other to a limited extent against the force of springs; 1.4 the springs comprise plate-shaped spring plates made of rubber-elastic material; 1.5 support plates are arranged between the spring plates; 1.6 several carriers (4, 40) for carrying the spring plates and the support plates are distributed over the circumference of the respective coupling (1, 10); 1.7 each carrier (4, 40), as viewed from above on a coupling axis, has the contour of a wedge which tapers radially inwardly; 1.8 on both sides of each carrier (4, 40), adjacent to the two wedge faces of the carrier (4, 40), there is a packet of spring plates and support plates which alternate; 1.9 the support plates, which are the outer ones as seen in the circumferential direction, of the packets of spring plates and support plates, which packets are adjacent to the two wedge faces of the carrier of a coupling, have a guide strip or a guide groove which cooperates with a corresponding guide strip or guide groove of an adjacent carrier; 1.10 each coupling (1, 10) comprises a star-shaped base body as seen in the direction of the coupling axis; 1.11 the base body comprises a plurality of radially outwardly extending projections (3.1); 1.12 each projection (3.1) carries a carrier (4, 40); 1.13 each carrier (4, 40) is attached to the associated projection (3.1) by means of two screws; 1.14 between the two screws there is a positioning pin parallel to the axis of the screws for positioning the carrier (4, 40); 1.15 the secondary part of the first coupling is in drive connection with the primary part of the second coupling via a connecting shaft; 1.16 the one of the two couplings is in drive connection with the drive shaft and the other of the two couplings is in drive connection with the output shaft.