A multidirectional sound absorber which is adapted to be mounted on an exterior surface of a wall and includes a substantially flat base made of a relatively low density, sound absorbing material, and an outer layer made of a relatively high density, sound absorbing material attached to the base and shaped to form a plurality of channels which, together with the base, form enclosed hollow chambers. A substantially flexible sheet of acoustically transparent material covers the outer face of the outer layer, and upper and lower track members which enclose the ends of the base and outer layer and are adapted to attach the assembly to an exterior surface of a wall. The base and outer layer preferably are made of fiber glass insulation material. Also in a preferred embodiment, a woven mat of fiber glass material is attached to the outer face of the outer layer, and the sheet is attached to the mat.