A covering material comprising a first layer, which forms the wearing layer of the structure and contains an ionomer, as well as a second layer next to the first layer. According to the invention, the first layer contains a wear-resistant and electrically conductive ionomer polyelectrolyte and the second layer is electrically conductive. The first layer comprises in particularan ionomer, which is a polymer of a co- or terpolymer of ethylene and acrylic or methacrylic acid, or any other known ionomer, and a block polyether, the polymer being ionically crosslinked with alkali and/or alkaline-earth and/or metal cations. The second layer forms the bottom layer of the structure, and it is made up of a polyolefin elastomer that has been rendered electrically conductive. The material according to the invention is suitable as covering for ESD applications.