Abstract: According to the invention, the method for applying a polymer coating onto the surface of a solid filler comprises deposition of a complex organometallic catalyst, containing a compound of a transition metal and an organic compound of a metal of the second or third groups of the periodic system, on the surface of the solid filler and liquid- or gas-phase polymerization of olefins at a temperature of 50.degree. to 170.degree. C. and a pressure of 1 to 60 atm on said catalyst deposited on the surface of the solid filler. The deposition is carried out in two stages. The first stage is gas-phase deposition of the first component of the catalyst, i.e. a compound of a transition metal, on the surface of the solid filler. The second stage is gas- or liquid-phase deposition of the second component of the catalyst, i.e. an organic compound of a metal of the second or third group of the periodic system.