A self-propelled building machine, especially a road cutting machine or a surface miner, has a machine frame and a chassis, comprising running gears resting on the ground. In addition, the present invention relates to a method for operating such a building machine. In an operating mode for adjusting the working depth of the working device the imposed weight applied by the building machine on the running gear is measured, whereby depending on the imposed weight either a controlled or an uncontrolled lowering of the building machine is indicated. A measuring device comprises a sensor for measuring the weight imposed by the building machine on at least one of the running gears. Depending on the measured imposed weight, a signal is generated indicating an uncontrolled lowering of the building machine, if the imposed weight falls short of a predetermined value and/or a signal indicating a controlled lowering of the building machine is generated if the imposed weight reaches or exceeds a predetermined threshold value.