A tool holder, for a tool assembly, comprising a tubular element having a cavity and a central axis; a damping mass arranged within the cavity and movable radially with respect to the central axis and relative to the tubular element; an adapter having a rear part fixed to the tubular element, and a front part for connection to an end effector of the tool assembly, the rear part comprising an opening, and the damping mass is at least partly received in the opening with a radial clearance; and an elastic element positioned between the adapter and the damping mass, the elastic element being arranged to support the damping mass and to damp radial vibrational movements of the damping mass relative to the tubular element, and the elastic element comprising a front surface substantially perpendicular to the central axis and a rear surface substantially perpendicular to the central axis.