A vibration damper arrangement, especially for tall, slender structures, with a supporting structure, a damper mass having a center of mass, at least one wheel by means of which the damper mass is movable, on a concavely curved rail arrangement connected to the supporting structure, from a stable central position in two opposite movement directions, and a stop arrangement comprising, for each of the two opposite movement directions of the damper mass on the concavely curved rail arrangement, at least two stop buffers on the damper mass and at least two stops against which the least two stop buffers come to rest, characterized in that a distance between the at least two stop buffers and the at least two stops in the stable central position of the damper mass is variable for at least one of the movement directions, wherein the stop arrangement varies, such that varying the distance in the one of the movement directions, the distance in the opposite movement direction equally in an opposite manner.