A method for determining the position of a vehicle, including: determination of a GNS vehicle position by a GNS unit, sensor acquisition of a surrounding environment of the GNS vehicle position by a radar sensor unit of the vehicle in order to ascertain radar data corresponding to the acquired surrounding environment, detection of objects situated in the surrounding environment based on the radar data, ascertaining of a direction vector that points from a detected object to a reference point fixed to the vehicle, comparison of the radar data and the ascertained direction vector to a digital map that has objects and direction vectors assigned to the objects, the direction vectors assigned to the objects pointing to a position in the digital map from which the corresponding object was acquired by a radar sensor unit, and ascertaining of a corrected vehicle position based on the GNS vehicle position and the comparison.