Abstract: There is disclosed a method of insulating stripped conductor wire portions of a cable insulated with solid polymer material so that the insulation of the stripped wire portions is substantially equivalent to the insulation of the cable. According to this method a vulcanizable insulation tape is wound about the stripped wire portion so that a layer of insulation tape is formed which is substantially flush with the insulation of the cable and then elastic tape is tightly wound about this layer of insulation tape and adjacent portions of the insulation so that the elastic tape applies an inwardly directed form of compression upon the layer of insulation tape. Heat is thereupon applied to the layer of elastic tape and through this layer to the insulation tape at a temperature and for a period of time such that the insulation tape is vulcanized. Upon completion of the vulcanization, application of heat is terminated and the layer of elastic tape is removed.