A system for the wireless transfer of power includes a first device connected to a power supply source and provided with a first resonant circuit at a first frequency, a second device comprising at least one battery, provided with a second resonant circuit at said first frequency, arranged at a distance smaller than the wavelength associated with said first frequency and not provided with wires for the electrical connection with said first device. The first device is adapted to transfer a first signal representing the power to be sent to the second device for charging said at least one battery and comprises means adapted to modulate the frequency of said first signal for transferring data from the first device to the second device simultaneously with the power transfer. The second device comprises means adapted to demodulate the received signal, corresponding to the first signal sent from the first device, to obtain the transmitted data.