The invention is in a composition which is useful to dampen noise and vibrations which in composition can be applied to and adhered to a substrate. The composition comprises an emulsion or dispersion of asphalt in water and fillers. Preferably the fillers are alkaline earth metal or alkaline metal carbonates, or sulfates. In another embodiment, the invention is a process for applying a damping composition to a substrate which comprises contacting a composition of an emulsion of asphalt in water and a filler with a substrate. Preferably the asphalt emulsion on the surface of the substrate is exposed to a source of heat so as to dry the composition on the substrate. In a preferred embodiment the substrate is a surface in an automobile such as the floor-board, trunk well, wheel well, rocker panel or underbody.