By the example of the welding of heterogeneous metals of a Steel 20 M1 Copper pair in the solid state with the use of current pulses, it is shown that the changes in the pressure within the range from 0.35 to 0.5 of the yield point of the less strong metal are more expedient. In this case, the level of the local microde formations is found to make up from 40 to 50%, which provides a rather tight contact between the welding surfaces as applied in the studied method of welding. Thus, this allows us in the course of the further treatment to insulate them from the surrounding medium by the current and creates the possibility to obtain a welded junction without degassing or using a protective medium, which is confirmed by experimental testing.