A device for electrically powering electrical members or user devices positioned on a refrigerator door, the refrigerator comprising an insulated cabinet defining at least one food preservation compartment on which said door is movably disposed, at least one hinge member being provided for the connection between the cabinet and said door; with the cabinet and with the door there being associated electrical conductors connected respectively to an electrical source and to each user device positioned on the door, said conductors being electrically connected together via the hinge member, which is constructed such that at least a part of it is electrically conductive.