The device contains a damper mass and a sleeve bearing. The damper mass (1) has a mainly cup-shaped recess (7) to hold the bearing (2). The support sleeve (4) in the bearing is pressed mainly air-tight into the recess. The hollow space (8) defined by damper mass and bearing, is formed as a pneumatic spring. The recess has a diameter (10.1-3), Which varies in steps in direction of the incoming oscillations (9). On the base side, the recess has a blind hole-type recess (11), to enclose the support core (3) of the bearing with radial distance. This is formed as a ring-shaped throttle gap (12).