A device for damping truck cabin vibrations, in which between the cabin bearing structure and the chassis connected to the truck suspension is disposed at least one energy absorbing element in a form of a kinetic energy absorption rotor arrangement in which kinetic energy of progressive movement is transformed into kinetic energy of rotational movement, and wherein the arrangement comprising a top plate and a bottom plate between which are arranged racks interengaged with toothed wheels driving the kinetic energy rotor accumulators of a given moment of inertia, characterized in that the kinetic energy absorption rotor arrangement (1) installed under the bearing structure of the cabin (16) comprises at least two racks (2) interengaged with toothed wheels (3, 3a, 3b, 3c) of the kinetic energy rotor accumulators (4, 5, 6) of differentiated capabilities of energy accumulation, wherein the racks (2) are installed between the bottom plate (12) and the top plate (13) defining differentiated gaps (7, 8, 9) providing differentiated idle stroke between them and these plates (12, 13).