The invention relates to a plug-in connecting system for flexible conductor films with film-insulated conductors, comprising a plug-in unit and a counter plug-in element, each of which is provided in a conductor film end area and which can be inserted into each other in order to electrically contact the film-insulated conductors. The invention is characterised in that the plug-in unit and the counter plug-in unit each have a base body and a top which can be brought into intimate, solid contact with the base body with a fixing mechanism, and in that at least one penetration structure is provided between the base body and the top, respectively. A film-insulated conductor of the end area of the conductor film can be inserted into said penetration structure before the top is brought into contact with the base body and the penetration structure at least partially penetrates the film-insulated conductor in order to fix and electrically contact the top and base body by exclusively pressing the top against the base body, respectively.