The present invention relates to a contacting assembly for conductors that are present on flat structures, in particular glass panels, and have a contact point in the connection section. According to the invention, an end of a connecting cable or of another connecting means, for example, a connecting plug, is connected electrically and mechanically to a pad made of a conductive nonwoven fabric. The connecting cable thus assembled is introduced into a casting block which is open on one side and which has a frame that is provided with adhesive and encloses the nonwoven fabric. The surface of the conductive nonwoven fabric which is delimited laterally by the frame is matched to the area of the contact point, in order to produce, via an adhesive bond between the frame and the flat structure, a contacting connection created by surface pressing between the contact point and the nonwoven fabric surface, wherein the frame together with the casting body seals the contact point with respect to the surrounding area.