On registration of a new subscriber in a radio system with a central system and a plurality of subscribers the new subscriber first sends a search telegram to all the subscribers that it can reach in its radio range and selects from the subscribers that respond a first router. Via this router it sends a registration request in the form of a message with a provisional own address to the central system. If it accepts the registration request the central system sends a response telegram via the router which contains a subscriber number and a system identifier for the new subscriber, which is integrated when the subscriber number is accepted into the radio system.