This lanyard, which is movable by elasticity between a rest position and a stretched position, comprises a tubular sheath made from non-stretchable material, and a set of elastic threads joined to the sheath.According to the invention, the elastic threads define at least one longitudinal weaving zone in which they are woven on one surface of the sheath only, each weaving zone being proper to form a bending zone of the lanyard, in the rest position, in which the elastic threads are folded onto themselves.