A high tension cable device with a series gap wherein an extraordinary discharge such as a creeping discharge which may occur along an outer face of a glass tube of a discharge tube is prevented effectively and a process of producing the same are disclosed. The high tension cable device comprises an electrically insulating tubular casing and a connecting terminal for the connection to a terminal of an ignition plug of an engine. The connecting terminal is fixedly fitted in the inside of an end portion of the casing, and a high tension cable is fitted in the other end portion of the casing. An additional function part such as a discharge tube for the formation of a series gap is mounted in the inside of the casing and coupled at an end thereof to the connecting terminal and at the other end thereof to the high tension cable, and an electrically insulating resin material is filled in a spacing in the inside of the casing.