Abstract: This invention relates to a method of and a walking beam furnace for the intermediate heating of pipes, or the like, in hot rolling mills, by means of a furnace located between the plug-mill and the sizing mill. According to the invention, in a forehearth (17) of the intermediate heating furnace, at the inlet side thereof, there is maintained a temperature which is lower than that at the outlet side, and which, anyway, is such that the hottest pipes will be cooled down and the coldest pipes will be heated up whereby, when exiting from said forehearth (17) of the furnace, the difference between the temperatures of the various pipes is zero or, at least, is small and, in any case, is smaller than that at the inlet, whereas in the successive chamber (18) of the furnace there is maintained such a temperature as to give the pipes the desired temperature when exiting from the furnace.