In a lift truck, preferably a shaft-steered traveling lift truck with a drive unit (3) pre-tensioned by spring loading in the vertical direction, the drive unit is hinged, adjustably in height, by linkage parallelogram suspension (41, 42, 44) on a chassis part (1) of the lift truck which cannot be raised. To continuously adjust the drive wheel pressure to the useful load conditions, at least one lifting cylinder (45) of the working hydraulic system for the low lift (basic lift is arranged directly between a chassis part (49) that can be raised and the linkage parallelogram suspension (41, 42, 44), and its lower end is mounted in a horizontal transverse linkage (42). The support force of the lifting cylinder (45), which opposes the lifting force, is broken down according to a leverage ratio of lever (47) to lever (48) one force component is absorbed by the chassis part (1) that cannot be raised, and the other force component is transmitted directly to a drive wheel 5 of the drive unit 3 via a lever arm (47) in order to thus maintain the necessary driving and braking torque. In order for the drive unit (3) to be able to compensate for unevennesses of the ground even when the lift truck has been lowered, a lifting piston (50) of the lifting cylinder (45) has a free running segment (52) designed as residual stroke.