System for the remote control of at least one electrical household appliance with a first transmitter/receiver and an auxiliary receiver incorporated into the electrical household appliance, and a second transmitter/receiver and an auxiliary transmitter incorporated into a remote control device that includes a screen for displaying information received by and/or transmitted from the remote control device. The system of remote control may use a primary system of short-range communication between the auxiliary transmitter and the auxiliary receiver and a secondary system of long-range communication between the first transmitter/receiver and the second transmitter/receiver, enabling a critical-parameter control command to be sent from the remote control device to the electrical household appliance via the secondary system only once the secondary system is activated, the secondary system then being bidirectional.