Abstract: A process for producing a crosslinked polyethylene insulated cable having an outer semiconductive layer which comprises providing an internal semiconductive layer, and an electrically insulating layer on an electrical conductor in conventional manner, coating by extrusion a resin composition comprising 100 parts by weight of an ethylene/vinyl acetate copolymer having a vinyl acetate content of at least about 55% by weight and about 5 to about 100 parts by weight of carbon black and a crosslinking effective amount of a crosslinking agent on said electrically insulating layer and heating said coated composition to at least about 230.degree. C. to crosslink said resin composition is disclosed. This process assures high production speed.When the ethylene/vinyl acetate copolymer used has a vinyl acetate content of at least about 80% by weight the outer semiconductive layer can easily be peeled off by hand.