Abstract: The present invention relates to a method and a means for continuous production of elongated carbon bodies having a constant or substantially constant cross-section where a casing filled with unbaked paste consisting of carbon and a carbon containing binder is continuously baked to a solid carbon body by heating by means of direct electric current. The first terminal of the direct current source is being slidably connected to the casing through a plurality of vertical ribs extending radially outwards from the casing, said ribs being made from a current conducting material, and the second terminal of the direct current source being connected to the baked part of the carbon body or to a bottom contact in a smelting furnace in which the carbon body is consumed. The casing containing the carbon containing paste is continuously or substantially continuously moved in axial direction by means of slipping- and holding means.