A method for constructing a plug for an electrical connection to a multipolar lead for an active implantable medical device includes providing a plug body having an insulating monobloc central core, the monobloc central core having a generally cylindrical shape, a cylindrical side surface, and a housing, providing a connection wire and a conductive pod, attaching the connection wire to the conductive pod, placing the conductive pod into the housing with connection wire extending therefrom, placing a conductive cylindrical ring on the cylindrical side surface, wherein the cylindrical side surface centers the conductive cylindrical ring coaxially about the monobloc central core, attaching the conductive pod to the cylindrical ring to create an electrical contact zone on a cylindrical outer surface of the plug body.