In a method of welding of metal plates in a solid phase, wherein the metal plates are combined to form a package, and welded together by heating and deforming the package by contacting with two rotating cylinders, the improvement includes: providing a damping lining between the metal plates; placing the package between two cylinders such that the metal plate with the smallest yield value under welding temperature faces the cylinder with smaller diameter, heating and deforming the package in vacuum, such that during a first stage the temperature reaches 0.4-0.5 of melting temperature of a metal plate with the smallest yield value, during a second stage the package is heated by a high frequency which heats the damping lining up to 0.92-0.95 of its melting temperature, wherein angular velocities of the rotating cylinders and their radiuses are selected in accordance with a formula.