Running gear for a rail vehicle includes a first drive unit, a running gear frame and a wheelset, wherein the first drive unit is supported via a first spring device and a second spring device on a first wheelset bearing housing or on a first swing arm and via a third spring device and a fourth spring device on a second wheelset bearing housing or on a second swing arm, where a first damper device, arranged between the first wheelset bearing housing or the first swing arm and the drive unit, is advantageously connected in parallel with the first spring device, the second spring device, the third spring device and the fourth spring device, where the damping device has a damper and, connected in series therewith, a first stop buffer and a second stop buffer to achieve a space-saving drive bearing having effective suspension and damping.