A method for producing heat exchangers having at least two fluid circuits each having channels, including the following steps: producing one or a plurality of elements of a first fluid circuit, each element having at least two metal plates, at least one of which has first grooves; stacking the at least two metal plates of each element in such a way that the first grooves form the channels of the first circuit; assembling each element of the first circuit by diffusion welding between the two stacked metal plates; producing one or a plurality of elements of at least one second fluid circuit, each element of the second circuit having at least a portion of the channels of the second circuit; assembling, either by diffusion welding, or by brazing, or by diffusion brazing between the element or elements of the first circuit and the element or elements of the second circuit.