A multi-layer damping foil having a perforated lower layer facing towards a part to be damped, with properties which are suitable for adhering the damping foil onto the part. A non-perforated upper layer, facing away from the part, does not have adherence properties. Advantageously there may be provided between the upper and lower layers a thin film-like intermediate layer of non-woven fabric, kraft paper, or the like, which may have openings.