A running gear (3), for a drive mechanism of a rail-guided displacement device, such as a passenger lift, comprising a base part, a drive and at least two sets of guide wheels (9), arranged behind each other, viewed in direction of travel of the running gear, so that, during use, the running gear is guided along the rail in a desired position by the guide wheels, the base part comprising at least a bridge piece (5), a first and a second frame part (6, 7), the frame parts each being connected to the bridge piece so as to be movable about at least one pivotal axis, each frame part carrying a set of guide wheels and the frame parts being mutually coupled by coupling means which form a mechanical mirror, so that the movements of the first and the second part are always each other's mirror image in a first plane of symmetry extending at right angles to the driving direction of the running gear between the first and the second frame part, and viewed relative to the bridge piece.