Surface coating for lightning protection consisting of a composite material, consisting of a matrix made of a polysilazane or of a polysiloxane, filled with lamellar, ceramic particles which have an electrically conductive coating of metal oxide, and a process for producing a surface coating on a blade of a wind turbine, where the conductive coating is applied in liquid form and hardens at room temperature, and the surface coating is pyrolyzed via short periods at temperatures up to 700 DEG C to give a glassy, electrically conductive coating that is resistant to temperature changes.