A method for the production of a heat exchanger is provided, particularly a sorption heat exchanger, in which several components of the heat exchanger have a ferrous based material, such as pipes, the pipes finishing the bottoms, and the bottoms and the pipes enclosing the housing components are coffered and then soldered. In one method, which reliably realizes the soldering of the joints with different widths, a brazing foil is introduced during the coffering of the components of the heat exchanger formed of steel or stainless steel between the joints of the components of the heat exchanger, and then the joints are filled with a low-melting solder and soldered without flux material.