The prior art method employed for cleaning solid surfaces involves delivery of a liquid under pressure through a cavitating nozzle. The new method is distinctive by that the liquid physical and chemical properties are modified by adding suspended or easily soluble high-molecular-weight polymers to the liquid. The proposed method features several versions. One of them employs high-molecular-weight linear polymer in the capacity of a modification agent. In another one polyoxyethylene with molecular weight of 100000 – 10000000 and concentration of 0.000001 – 0.0001 kg/kg is used as a high-molecular-weight linear polymer. In the third version water is used as the liquid. The forth and fifth versions involve different techniques for delivering the polymers.