Wireless communication is to be enabled between hearing units of small construction, especially between hearing aids with an increased data rate. To this end it is provided in accordance with the invention that the hearing unit is fitted with a transceiver which has an inductive receiving device and a digital wideband pulse transmitter. Two such hearing units can then communicate wirelessly with one another with the help of a communication station which is structurally separate from the hearing units and with which a message can be transmitted from the one to the other of the hearing units. The digital wideband pulse transmitter can be implemented in a structurally small manner in the hearing unit and with low power consumption.