A review of a modern state of research on an intensification of the oil recovery is made by application of the high-frequency electromagnetic radiation serving as a volumetric source of heat supply. Theoretical and experimental results on the study of dielectric properties of petroleum, bitumens and asphalto-paraffins are analyzed. The data on dielectric permeability, a tangent of the angle of dielectric losses for oil from various deposits and their dependence on frequency of an electromagnetic wave, temperature, density and percentage of various fractions of petroleum are given. Application of high-frequency electromagnetic radiation for heating the petroleum layers, which leads to a gain of chinks debit, is considered. The theoretical models describing warming up of a layer, as with the account of convective transmission of heat and mass and without taking into account these phenomena, are given. The stationary and automodel solutions are considered, these allow us to estimate characteristic times for heating the petroleum layers, distribution of temperature and other characteristics. Results of industrial tests of a high-frequency method for heating of the oil layers are given, and comparison with other thermal methods is made. Results of theoretical research for elimination asphalto-paraffin jams in the equipment of oil wells by an electromagnetic radiation source are stated.