Abstract: In a weaving system in which the selection of the hooks is effected by rotation of their shanks so as to present their nose elements to the blades of the gripper frames or, on the contrary, to retract them, each hook comprises at its end a flat eyelet which, when it returns into its low rest position, engages in a depression with elliptic inlet in a bottom board and which tends to return it to the correct angular orientation corresponding to this position. In addition, to each eyelet is attached an elastic blade which passes through a slit in a guiding board and which acts in the manner of a return torsion spring to complete the effect of the depression.