Abstract: A harness (1), such as a horseriding bridle or snaffle bridle, intended to be fixed to the head of an animal of the family Equidae, includes a crownpiece (2) for passing over the top of the head, behind the ears of the animal, extended on respective opposite sides by a first cheekpiece (3) and a second cheekpiece (3?) provided with a fixing element (4) for a leverage effect bit (5). The bridle (1) includes an elastic return element (6) adapted to stretch to allow displacement of the fixing element (4) of the leverage effect bit (5) if a traction force is applied to the fixing element (4), in order to absorb the pressure exerted by the crownpiece (2) on the nape of the animal, and to revert to their initial position if no force is applied to the fixing element (4).