Method for determining a current position (5) of a motor vehicle (6) in a geodetic coordinate system from a time series of first geodetic position data (2) recorded particularly by a position sensor (8) associated with a global navigation satellite system, and proper motion data (3) recorded by at least one proper motion sensor (9), wherein the position is determined by applying a transformation into the geodetic coordinate system to the displacement vector of the motor vehicle (6), which is derived from the most current proper motion data (3) starting from a reference time to which the transformation relates, wherein the transformation is determined in the context of a regression analysis as optimal mapping of a progression of displacement vectors determined over a defined time period onto a progression of the position data (2) determined for the same time period.