A high-voltage cable fitting, typically a cable end termination or a cable joint, includes coaxially arranged around an axis a rigid conical insulator, an electrically insulating, elastomeric stress-relief cone matching the rigid conical insulator through a conical interface and an axially aligned current path. The current path connects a conductor of the cable to a high-voltage current terminal arranged on top of the rigid conical insulator and provided for connection to a high-voltage component. The rigid conical insulator is configured as a condenser core and includes a plurality of electrically conductive field-grading layers, which are arranged concentrically around the axis, and a rigid polymeric matrix which embeds the field-grading layers. In order to keep the size of the cable fitting small and to enable the fitting to carry high rated continuous currents a section of the cable conductor, which is stripped off the insulation of the cable, extends from the conical interface to the high-voltage current terminal and forms the axially aligned current path, and the condenser core comprises an axially aligned tubular duct which receives the stripped-off section of the cable conductor and which passes two opposing front faces of the condenser core.