A gear shift lever is provided with damping device of a vehicle. The damping device damps the returning of a reverse gear blocking element in the axial direction of the gear shift lever into a blocking position. For this, the damping device has a first rigid ring element in the axial direction of the gear shift lever, which surrounds the gear shift lever and has projections distributed on the periphery in axial direction. In addition, the damping device has a second rigid ring element, which has recesses in the region of the projections of the first ring element. On the reverse gear blocking element and on the gear shift lever, radial shoulders are arranged, against which the two rigid ring elements support themselves axially. Between the first and the second rigid ring element a rubber-elastic ring element is arranged which is deformable in a rubber-elastic manner between the projections of the first rigid ring element and the recesses of the second rigid ring element on the returning of a reverse gear blocking element.