An elastic strip for holding the ankle of a person as well as an ankle orthosis comprising an ankle brace includes a first portion extending from a first end of the strip and intended to be wound around the foot; a second portion extending in the extension of the first portion to a second end of the strip, intended to be wound around the ankle; a first attachment component, located on the outer face of the strip, at the junction between the first and second portions;and a second attachment component intended to cooperate with the first attachment component, located on the inner face of the strip, at the second end of the strip. The attachment components are disc-shaped and the second attachment component has a diameter lower than or equal to the diameter of the first attachment component.