The present invention relates to a self-propelled construction machine, in particular a road milling machine, a recycler or a surface miner, comprising a machine frame 1 supported by a chassis 2 which comprises front and rear running gear 3, 4. A working device 5 is arranged on the machine frame 1 and comprises a working roller 17 for working the ground. Lifting devices 15, 16 are associated with the individual running gears 3, 4 and can each be retracted or extended for raising or lowering the running gears with respect to the machine frame. In addition, the construction machine comprises a control unit 20 for actuating the lifting devices 15, 16, which control unit comprises a lifting position measuring device 22 for detecting the lifting position of the lifting devices and a tilt detection device 23 for detecting the tilt of the machine frame 1 transversely to the working direction A of the construction machine. The control unit 20 provides a first mode of operation for working the ground and a second mode of operation for moving the construction machine, and is characterized in that, in the second mode of operation, the lifting devices 15, 16 associated with the individual running gears 3, 4 or wheel are actuated in such a way that the machine frame 1 is substantially levelled transversely to the working direction A of the construction machine, the ground clearance b preferably being at a maximum or the distance not falling below a minimum distance.