Abstract: In a radio telephone system with mobile and stationary transmitting receiving stations and, connected to the stationary stations, a common switching station through which the mobile stations can be interconnected and connected to the subscribers of a line-wire telephone network, a faster connection set-up and a likewise faster switch-over of existing connections is possible because the stationary stations repeatedly transmit through their cell channel a channel number of a free duplex speech channel which is stored in a storage device in the mobile stations receiving the call channel. In response to a connection set-up command the stored channel number is used for automatically selecting the free duplex speech channel.