Abstract: A method of producing supercold temperature in cryogenic systems by compressing a gaseous fluid constituting an incoming stream followed by its stepwise cooling by a return stream of the fluid. The incoming stream is split into a main stream and a subsidiary stream which is used to compensate for the losses in the system on being expanded with the removal of energy. The main stream is expanded and liquefied in a liquefaction stage. At least a portion of the subsidiary stream, on being expanded with the removal of energy, is introduced into the liquefaction stage, liquefied therein and used to sustain a refrigerative load. After that, the liquid fluid formed is used to sustain the refrigerative load and is evaporated as a consequence. The vapor forms the return stream which is passed through the cooling stages and the liquefaction stage in the reverse direction.