The procedure and the facility are used for wireless transmission between a wheel module (9) arranged in a tire (2) and an external control device (3). A first transmission signal is transmitted from an antenna (6) of the control device (3) to an antenna (11) of the wheel module (9). Data is transmitted via a second transmission signal from the wheel module (9) to the control device (3), whereby the first transmission signal has a different frequency from the second transmission signal. The first transmission signal is received by the antenna (11) of the wheel module (9) during a coupling period, within which while the tires (2) are rotating, an area of influence (15) of the antenna (11) of the wheel module (9) which also rotates, and a stationary area of influence (14) of the antenna (6) of the control device (3) overlap. After the beginning of the coupling period is recognised, the data transmission is started from the wheel module (9) to the control device (3).