Fastening system intended to removably connect a strand to a component, and comprising: a first fixing element comprising a strand element extending along a strand axis and intended to be fixed to the strand, and a transverse housing extending along a transverse axis substantially perpendicular to a strand axis; a second fixing element, configured to be directly or indirectly fixed to the component, and comprising a connecting portion arranged to cooperate with the transverse housing; a locking mechanism comprising a first locking element provided on the first fixing element, a second locking element provided on the second fixing element, and a return element; the locking mechanism being configured so that the first locking element moves relative to the second locking element between: a locked position in which the first locking element is engaged with the second locking element, the return element exerting a bearing force between the two locking elements (12, 212), so that the second fixing element is attached to the transverse housing; and an unlocked position in which an unlocking force opposite to the supporting force is exerted on the return element, disengaging the second fixing element from the transverse housing; characterised in that the first locking element is configured to cooperate with the component so as to exert the unlocking force on the return element when the fastening system pivots around the transverse axis, in relation to the component, so that the first locking element is not engaged with the second locking element. a first fixing element comprising a strand element extending along a strand axis and intended to be fixed to the strand, and a transverse housing extending along a transverse axis substantially perpendicular to a strand axis; a second fixing element, configured to be directly or indirectly fixed to the component, and comprising a connecting portion arranged to cooperate with the transverse housing; a locking mechanism comprising a first locking element provided on the first fixing element, a second locking element provided on the second fixing element, and a return element; the locking mechanism being configured so that the first locking element moves relative to the second locking element between: a locked position in which the first locking element is engaged with the second locking element, the return element exerting a bearing force between the two locking elements (12, 212), so that the second fixing element is attached to the transverse housing; and an unlocked position in which an unlocking force opposite to the supporting force is exerted on the return element, disengaging the second fixing element from the transverse housing; characterised in that the first locking element is configured to cooperate with the component so as to exert the unlocking force on the return element when the fastening system pivots around the transverse axis, in relation to the component, so that the first locking element is not engaged with the second locking element. a locked position in which the first locking element is engaged with the second locking element, the return element exerting a bearing force between the two locking elements (12, 212), so that the second fixing element is attached to the transverse housing; and an unlocked position in which an unlocking force opposite to the supporting force is exerted on the return element, disengaging the second fixing element from the transverse housing; characterised in that the first locking element is configured to cooperate with the component so as to exert the unlocking force on the return element when the fastening system pivots around the transverse axis, in relation to the component, so that the first locking element is not engaged with the second locking element.