A method for joining the electrodes for electroslag remelting comprises arranging the electrodes in a feeding position in which they are fed downwardly one above the other relative to an ingot to be remelted and welding at least the core regions of the two electrodes together by subjecting them to currents of high intensity. An electrode feeding device comprises a vertical stand with first and second electrode holders on the stand which are independently vertically movable thereon. Each holder is insulated from the associated stand and from each other and from ground and it is provided with clamping means for clamping an electrode in a position in which its axis extends substantially vertically above the ingot to be remelted. During operation, the holders are moved vertically such that the electrode held by the uppermost holder is positioned into abutting contact with the top of the electrode held by the lowermost holder. The apparatus also advantageously includes a centering, packing and insulating ring which surrounds the space between the two abutting electrodes and which may advantageously be made with a funnel-shaped upper portion which may be filled with a slag.