A geodetic surveying instrument, such as a total station, stationed with instrument center coordinates at ground coordinates in a stationing height above ground. The instrument comprises a sighting unit for aiming a measurement target point, with an opto-electronic distance meter to determine a target distance and two axes for aiming the sighting unit, with goniometers to determine a target direction. It also comprises a tilt sensor to determine a tilt value of the instrument and a measurement-controller to derive measured coordinates of the measurement target point based on this target direction and target distance.