An anti-skid device for a motor vehicle wheel comprising: - a raceway comprising a plurality of means developing anti-skid properties interconnected by junction elements; - radial arms enabling to maintain said raceway on the tread of a vehicle wheel tire; - a central flange having said radial arms cooperating therewith, comprising an internal surface, directed towards the rim, and a surface opposite to said internal surface, called external surface; - mechanical means capable of transmitting a pressing force to said radial arms, said mechanical means comprising a fixed member attached to the rim having the considered wheel secured thereto, and a flexible traction member enabling to axially displace said central flange with respect to the vehicle rim, the axial displacement of said central flange enabling to generate a force for pressing the radial arms on the external side of the tire, said flexible traction member being attached at one of its ends to the fixed member, and at its other end to the central flange, and being actuated by means of a tensioning lever, hinged to the external surface of the central flange, said flexible traction member crossing the central flange from its internal surface to its external surface at the level of a channel formed at the center of said flange; characterized: - in that the useful length of the flexible traction member extending between the fixed member and the securing point of said flexible traction member to the central flange is constant, whether or not the anti-skid device mounted on the considered wheel; - and in that the tensioning lever is provided with a guide having the flexible traction member passing around it after the crossing of the flange by said channel. - a raceway comprising a plurality of means developing anti-skid properties interconnected by junction elements; - radial arms enabling to maintain said raceway on the tread of a vehicle wheel tire; - a central flange having said radial arms cooperating therewith, comprising an internal surface, directed towards the rim, and a surface opposite to said internal surface, called external surface; - mechanical means capable of transmitting a pressing force to said radial arms, said mechanical means comprising a fixed member attached to the rim having the considered wheel secured thereto, and a flexible traction member enabling to axially displace said central flange with respect to the vehicle rim, the axial displacement of said central flange enabling to generate a force for pressing the radial arms on the external side of the tire, said flexible traction member being attached at one of its ends to the fixed member, and at its other end to the central flange, and being actuated by means of a tensioning lever, hinged to the external surface of the central flange, said flexible traction member crossing the central flange from its internal surface to its external surface at the level of a channel formed at the center of said flange; - in that the useful length of the flexible traction member extending between the fixed member and the securing point of said flexible traction member to the central flange is constant, whether or not the anti-skid device mounted on the considered wheel; - and in that the tensioning lever is provided with a guide having the flexible traction member passing around it after the crossing of the flange by said channel.