A position determination method for a set of new points to be surveyed, using a geodetic device and reference points whose positions in an absolute coordinate system are known. The position determination is effected by referencing the new points relative to a set of reference points and measurement of the reference points and of the new points in a relative coordinate system for referencing by the geodetic device—relative measured quantities being registered. Furthermore, the new points and the reference points are updated by successive addition in each case of the measured new points and reference points to the set of new points and set of reference points, respectively, and updating the position determination of the new points taking into account all of the respective actual reference points is effected if a specified minimum coefficient of determination for the referencing is ensured by the actual set of reference points.