Abstract: The invention relates to an arrangement for damping shifting movements in a mechanical, synchronized multispeed transmission. Where such shifting movements are performed with the aid of a servo-mechanism, for exmaple a pneumatic piston cylinder unit, there is the risk that the gear teeth will be damaged when brought into engagement with each other. In the arrangement according to the invention, a pressure medium-filled damper is used without any communication with a separate pressure medium reservoir, thus eliminating the risk of malfunction due to foam formation in the pressure medium as well as achieving a desirable damping of the shifting movement. The invention is characterized for this purpose in that the piston in the damper is arranged on a piston rod which extends through the cylinder portion of the damper, so that upon relative movement between the piston and the cylinder portion, the volume of the damper filled with pressure medium remains constant.