There is described a localization system with a mobile position data transmitter having a position-detecting device for detecting a position of the position data transmitter and for deriving position data from the position detected. The position data transmitter also has a radio tag writing device for wirelessly emitting the derived position data with a write signal for writing to radio tags. The localization system also has radio tags which are to be spatially distributed and each have a memory for storing an item of localization information which is taken from the position data received with the write signal. A radio tag reading device is used to retrieve and output the stored read information from the radio tags that are situated in the retrieval range.