A damper for absorbing vibrations in an overhead cable which has a support member attached to the cable and at least one dampening member pivotally connected to an axial member mounted on a support axis extending substantially horizontally under the cable. Each dampening member has an arm provided with a weight and having an end effecting the connection to the axial member. Both the axial member and the end of the dampening member have cooperating pairs of stops limiting the pivotal movement of the dampening member around the support axis. Between the corresponding stops of the axial member and end of the dampening member are provided resilient cylinders further limiting the pivoting of the dampening member in a resilient manner.