The present invention relates to an absorbent covering having high damping power, the covering being secured to a structure (20) and being provided with an absorbent layer (10) of elastic material (4). Remarkably, said absorbent layer (10) comprises a dissipater mesh arranged in the elastic material (4) and constituted by a plurality of nodes (2) and of dissipater elements (1), which dissipater elements are advantageously elliptical in shape.