The invention is related to methods for determining thermophysical properties of solid bodies, particularly, to methods for determining thermal conductivity and volumetric heat capacity. In accordance with the method, a reference sample and sequentially located samples of solid bodies are heated by a thermal energy source moving at a constant speed relative to the reference sample and the samples being studied. Excessive temperatures of the surfaces of the reference sample and the studied samples at points on a line of heating are measured and the thermophysical properties of the reference sample and the samples being studied are determined. Arbitrary shape samples are used and thermal conductivity and volumetric heat capacity of the samples are determined by solving an inverse coefficient problem of thermal conductivity.