A method for making a power semiconductor module and a module produced by that method, wherein the module includes a substrate, a connection device and load terminal elements, wherein power semiconductor components are arranged on a conductor track of the substrate and connected to one of the load terminal element by the connection device. The power semiconductor module has auxiliary contact pads which can be connected to an external printed circuit board. The primary production step in this case is cohesively connecting respective first contact areas of the first conductor tracks to at least one second contact area of a power semiconductor component and at least one third contact area of a load terminal element; afterwards, the assemblage composed of at least one power semiconductor component of a connection device and load terminal elements is arranged to form a housing of the power semiconductor module.