To enhance oil recovery of high-viscosity oil deposits in the temperature range of 20-210°C, a multifunctional composition with adjustable viscosity and high oil-displacing ability has been developed based on surfactants, aluminum and ammonium salts, an adduct of inorganic acid, carbamide and polyol. High buffer capacity of the composition in a wide pH range, 2.5-10 units pH, is provided by a complex of buffer systems: in the acidic range of pH, 2.5-4.0, the system "polyolboric acid and its salt", in the alkaline range of pH – an ammonia-borate buffer system. The composition has a low interfacial tension, a prolonged reaction with carbonate rocks, prevents the precipitation of insoluble reaction products, and increases the permeability of reservoirs. The composition is both oil-displacing and flow-diverting, it provides an enhance in the oil recovery factor, both due to the increase in the displacement factor and the the reservoir sweep by waterflooding or thermal steam stimulation.