Abstract: A process and an arrangement for determining the position of a vehicle moving on a given track by using a map matching process is provided. At least three types of position measuring data in the form of object site data, path length data and route course data are obtained. By use of a computer unit, for each type of measuring data, a data correlation is carried out with a respective pertaining stored desired data quantity for the determination of respective position results which then are evaluated, in an m-out-of-n decision making process. In this process, a given number m of the n determined position results is taken into account. With comparatively low expenditures, this permits a reliable and error-tolerant vehicle position determination for use, for example, for railway vehicles.