A high-voltage apparatus contains an internal conductor, an insulating body which surrounds the internal conductor along its longitudinal direction and has insulating layers which are composed of a synthetic material which is impregnated with a resin, and also electrically conductive control inserts for field control which are arranged concentrically around the internal conductor and are spaced apart from one another by the insulating layers. At least one of the control inserts is a contact insert which is electrically connected to the internal conductor by a contact-making device. The contact-making device has a contact element which is composed of electrically conductive material and is electrically connected to the contact insert. The contact element is fixed by adhesive bonding to a conductive substrate which is in electrical contact with the internal conductor.