A retention device, in the form of a trunking with a substantially U-shaped section, for retaining at least one cable running along the structure of an aircraft, fastened to said structure by a fastening device and providing an electrical continuity over the whole of its length is disclosed. The device is electrically connected to a current-return circuit from the items of equipment of the aircraft. The trunking includes at least one curve on its longitudinal axis corresponding substantially to that of a frame of a fuselage. It is intended to be mounted on a frame of an aircraft made of carbon fibers and to protect the skin of the aircraft against a possible contact with a damaged cable.