Pulling and pushing device for a train coupling, in particular central-buffer coupling, having a first connection for a coupling shaft, and having a second connection which is configured for the fastening of the pulling and pushing device to a vehicle structure; having a spring device which transmits tensile forces and compressive forces between the first connection and the second connection; having a first pressure plate for introducing compressive forces into the spring device in a first axial direction, and having a second pressure plate for introducing compressive forces into the spring device in a second axial direction, which is opposite to the first axial direction; wherein the first pressure plate is arranged at a first axial end of the spring device, and the second pressure plate is arranged at a distance from the first pressure plate in the first axial direction and is connected in a tension-resistant manner to the first connection; wherein the spring device comprises at least two damping and/or resilient sub-devices (4.1, 4.2) which are arranged one behind the other in the first axial direction, and the second pressure plate is arranged in series with the first sub-device (4.1) and the second sub-device (4.2) and so as to transmit compressive forces between the sub-devices (4.1, 4.2) in the first axial direction, characterized in that the first pressure plate has a free, at least substantially planar abutment surface (5.1) directed in the second axial direction that serves for the tiltable free abutment of a mating abutment surface (3.1) of the coupling shaft, and the second pressure plate is connected to the first connection so as to be pivotable about a first axis of rotation which is parallel to the abutment surface (5.1) of the first pressure plate. having a first connection for a coupling shaft, and having a second connection which is configured for the fastening of the pulling and pushing device to a vehicle structure; having a spring device which transmits tensile forces and compressive forces between the first connection and the second connection; having a first pressure plate for introducing compressive forces into the spring device in a first axial direction, and having a second pressure plate for introducing compressive forces into the spring device in a second axial direction, which is opposite to the first axial direction; wherein the first pressure plate is arranged at a first axial end of the spring device, and the second pressure plate is arranged at a distance from the first pressure plate in the first axial direction and is connected in a tension-resistant manner to the first connection; wherein the spring device comprises at least two damping and/or resilient sub-devices (4.1, 4.2) which are arranged one behind the other in the first axial direction, and the second pressure plate is arranged in series with the first sub-device (4.1) and the second sub-device (4.2) and so as to transmit compressive forces between the sub-devices (4.1, 4.2) in the first axial direction, characterized in that the first pressure plate has a free, at least substantially planar abutment surface (5.1) directed in the second axial direction that serves for the tiltable free abutment of a mating abutment surface (3.1) of the coupling shaft, and the second pressure plate is connected to the first connection so as to be pivotable about a first axis of rotation which is parallel to the abutment surface (5.1) of the first pressure plate.