A method for transmitting data in a wireless radio network having a multiplicity of base stations for wirelessly sending and receiving data, wherein the base stations are wirelessly networked such that each base station can communicate wirelessly with one or more adjacent base stations. Broadcast messages are transmitted between a mobile station for wirelessly sending and/or receiving data and the base stations and broadcast messages are also forwarded between the base stations. These broadcast messages do not have an associated explicit connection between two units in the radio network. Moreover, the mobile station which receives a broadcast message can process this message regardless of the base station from which it originates. This avoids so-called “hand offs,” which are used in the prior art to associate a mobile station with a new base station when the mobile station moves out of range of the earlier base station. These hand offs result in time delays which are unacceptable in safety-critical applications. The novel method is particularly suitable for use in traffic systems, particularly in rail traffic systems, in which, by way of example, a train is controlled via a central unit using the radio network. In such applications, it is particularly important for no relatively long delays to arise in the data transmission, since otherwise the safety of the traffic system is no longer assured.