Abstract: An electroslag remelting furnace includes a liquid-cooled, open-ended mold supported by a bottom plate of high electric conductivity, for instance, formed of copper, which closes the mold at one of its ends. The mold has a plane of symmetry which contains a mold axis. At least one conductor connects at least one terminal located at the bottom plate to a source of electric current. Furthermore, the mold has a normal plane extending normally with respect to the symmetry plane which contains the mold axis. The electric conductor extends from a marginal zone on one side of the bottom plate to the terminal on the other side of the bottom plate beyond the normal plane.