Abstract: Method of butt-welding metal parts by induction, in particular parts of irregular cross-section such as rails, consisting in pressing the parts against one another with an initial pressure for the entire period of heating, in heating them by induction by means of an inductor which encloses the parts parallel to their contours about the plane of their interface, firstly for a first period at a lower frequency and then, for a second period following the first, at a frequency two to four times higher than the first frequency, and, at the end of the second period, in applying the parts against one another at a forging pressure which is from two to more than six times higher than the initial pressure. The quality of the welded joint is greatly improved and the dimensions of the bulge or upset are limited by restricting the depth of the penetration of the induced current to both sides of the interface by means of two short-circuited turns disposed symmetrically relatively to the inductor to either side thereof.