In order to produce a power semiconductor module, a circuit carrier is populated with a semiconductor chip and with an electrically conductive contact element. After populating, the semiconductor chip and the contact element are embedded into a dielectric embedding compound, and the contact element is exposed. In addition, an electrically conductive base layer is produced which electrically contacts the exposed contact element and which bears on the embedding compound and the exposed contact element. A prefabricated metal film is applied to the base layer by means of an electrically conductive connection layer.