Abstract: In a device for the transmission and evaluation of measurement signals for the tire pressure of tubless tires mounted rims in single and twin wheels of motor vehicles which comprises a pressure sensor (6) arranged in the rim wall, which pressure sensor (6) is electrically connected with a signal transmitter coil (8) arranged at the rim (3), as well as a signal pick-up coil (20) of a high-frequency resonant circuit signal evaluating arrangement connected with the motor vehicle in the area of the axle so as to be stationary, it is provided for the purpose of enabling signal detection also when stationary and for problem-free application to twin tires, that a first repeater coil (15), which is electrically connected with a second repeater coil (17), is arranged in the area of the signal transmitter coil (8) at the hub (12) carrying the rim (3), which hub (12) is connected with the latter so as to be fixed with respect to rotation relative to it, wherein the second repeater coil (17) is constructed as a toroidal