The invention refers to a method of brazing together thin heat exchanging plates of an iron based base material provided with port holes and a pressing pattern of elevations and depressions over the heat exchanging area of the plates and, if present, also over the distribution area to a plate heat exchanger. The plates are coated with brazing material and are arranged such that contact between elevations and depressions in adjacent plates is obtained prior to the brazing together. The plates are then brazed together at the resultant contact points. Only 5-40%, preferably 10-30%, of the heat exchanging area and the distribution area are coated with brazing material prior to the brazing. The invention also comprises a brazed plate heat exchanger built of thin heat exchanging plates of an iron based base material provided with port holes and a pressing pattern of elevations and depressions over the heat exchanging area and, if present, also over the distribution area which has been produced according to the method of the invention. In the brazed heat exchanger the brazing material used for the brazing is present mainly in the brazing joint.