The invention concerns a multi-layer film element (1) and a process for the production of such a film element. The multi-layer film element (1) has at least one flexible dielectric layer (16) and one or more electrically conductive layers (15, 17) each comprising an electrically conductive material. The layer thickness of the electrically conductive layer or layers is in each case less than 20 μm. The electrically conductive layer or layers are shaped in pattern form for forming two or more conductor structures which are coupled together to afford an antenna structure galvanically connected to an electric circuit (19).