An electromechanical actuator includes a casing, a torque support, a ring, an electrical power supply cable and a device for discharging electrostatic charge. The ring is inserted partly around the torque support and forms a bearing guiding the rotation of a winding tube. The discharge device includes an electrical conduction element, which is configured to be in electrical contact with the tube, and an electrical linking element. The ring bears the electrical conduction element. The torque support at least partly accommodates the electrical linking element. The electrical conduction element is configured to be in electrical contact with the electrical linking element. The electrical linking element electrically connects the electrical conduction element to a shielding or to an earth electrical conductor of the cable.