An automotive construction machine, in particular a slipform paver or a road milling machine, has at least one front running gear and one rear running gear in the working direction. As the construction machine advances, the lifting systems of the front running gear are extended or retracted such that the machine frame remains in a predetermined orientation to the surface of the ground in the longitudinal direction. Irregularities in the ground surface are detected as the construction machine advances, and the position of the front lifting systems, predetermined by the control or regulating unit, is monitored to keep the machine frame in a predetermined orientation to the ground surface. As the construction machine advances, the control of the rear lifting systems is engaged with a time delay subject to the control of the front lifting systems. Consequently, the working system of the construction machine, in particular the concrete mold or milling drum, is adjusted to the correct height with respect to the ground surface, so that the working system does not copy the course of the ground.