A method of manufacturing liquid-metal composite contacts, where fabric of high-melting metal based wire is in the form of a strip, rolled into a cylindrical workpiece, and installed into a matrix. The workpiece is then pressed, reduced in an environment of hydride hydrogen in a vacuum furnace, and soaked with low-melting metal or alloy, where the soaking of the structure is performed with three metals, tin (Sn), indium (In) and gallium (Ga) within three sequential stages lasting 10 to 20 minutes each, namely, the structure is first soaked with liquid tin at a temperature of 750 to 1150.degree. C., then with liquid indium at the temperature of 750 to 1000.degree. C., and third with liquid gallium at the temperature of 700 to 900.degree. C. The amount of liquid tin, indium, and gallium is proportional to eutectic mixture and volume of the pores in the structure.