It is here presented the design of a MgB2 superconducting hydrogen-cooled cable for DC current transmission at low voltage (10 kV). The cable consists of a former made of MgB2 superconducting wires, a dielectric layer and an annular region that allows for the passage of hydrogen at pressures above the critical pressure. The cable is contained within a corrugated cryostat, insulated from the external environment. The use of MgB2 as a superconducting material allows for the operation of the cable at 15-20K, which reduces the cooling requirements and increases the efficiency of the system. The hydrogen-cooled annular region, acting as a pipeline for the cryogen transport, allows at the same time the efficient cooling of the cable, while the corrugated cryostat provides additional insulation and structural support, and a relief volume in the case of an accident.