A medical electrode device has a purely mechanical contact connection between electrode and electrical line. For this purpose, a support sleeve is seated in the electrode body, on which the line section to be contacted is wound in a state without its insulation removed. The electrode is placed thereon while enclosing this line section, an internal thread having a cutting zone on the interior of the electrode breaking through the line insulation and being in electrical contact with the electrically conductive core of the electrical line.