There is described an arrangement on vehicles equipped with wheels (1) with pneumatic tires, having an evaluation and control unit (8) arranged in the vehicle (2) and one or more receiving antennas (4), that are assigned to individual wheels (1) or groups of wheels (1) of the vehicle (2) and are connected to the evaluation and control unit (8) via an RF receiver (5) comprising a demodulator (6), for use in a tire-pressure monitoring system in which a unit (3), that is mounted on the respective wheel (1) and that comprises a pressure sensor for measuring the pressure in the pneumatic tire and for generating an electric pressure-measurement signal, comprises a control circuit and a transmitter with a sending antenna for sending out, under the control of the control circuit, the pressure-measuring signal or a signal derived therefrom in the form of a radio-frequency signal. The invention provides that each receiving antenna (4) has assigned to it a separate RF receiver (5) in combination with a demodulator (6), a circuit arrangement (7) for the generation of a digital electric identification signal characteristic of the mounting location of the respective receiving antenna (4), and a BUS interface (19), that the evaluation and control unit (8) comprises a BUS interface (18), that the two BUS interfaces (18, 19) are connected one to the other by a BUS (17), for which purpose a plug-in connector (21) is provided which is connected to the BUS (17) by a first connector element (22) and to the BUS interface (19) of the RF receiver (5) by a second connector element (23), and that the first connector element (22) of the plug-in connector is designed so as to provide an identifier in electric/mechanical form and to supply it to the circuit arrangement (7) provided on the side of the RF receiver (5), through its connection to the second connector element (23), for generation of the digital electric identification signal characteristic of the identifier of the first connector element (22).