An insulating coating (1) with high damping power and suitable for being fastened to a structure (2). The coating comprises a dissipater mesh made up of a plurality of dissipater elements (3) and of nodes (4) with the bottom end (4′) of each node being fastened to said structure (2). Each dissipater element is secured to first and second nodes (6, 7). The bottom ends (4′) of said nodes (4) project from said dissipater elements (3) so as to be suitable for creating an empty space (5) between the dissipater elements (3) and said structure (2). In addition, at least one dissipater element (3) is provided with at least one branch (10, 20) provided with a heavy element (30, 31, 32). The heavy element (30, 31, 32) has a first mass that is greater than or equal to a second mass of said branch (10, 20).