A system is disclosed for the wireless connection of a headset (HSG) to a communication terminal (TF) with a hook switch function. A base station (BS) which is connected by radio to a mobile station (MS) to transmit signalling and call data is connected to the communication terminal. The headset (HSG) is connected to the mobile station (MS). First control means (ST1) are provided in the base station (BS) to switch through a call signal to the mobile station (MS) and second control means (ST2) are provided in the mobile station (MS) to take up and end the call. The first control means (ST1) control the hook switch function.