A machine tool includes a machine element, an active vibration damper arranged on a region of the machine tool for damping a vibration of the machine element, and a vibration sensor facility arranged to detect the vibration of the machine element at a first point and at a second point of the machine tool, with the vibration of the machine element to be detected being smaller at the second point than at the first point. The active vibration damper is designed to damp the vibration of the machine element as a function of a variation between a first actual value detected by the vibration sensor facility at the first point and a second actual value detected by the vibration sensor facility at the second point.