The invention provides a metal hydride hydrogen storage device. The metal hydride hydrogen storage device comprises a tank body, a ventilation pipeline in the tank body, a padding region and internal heat-transfer media in the padding region. The internal heat-transfer media are composed of foamed nickel with large porosity (60%-98%), and gaps of the foamed nickel contain hydrogen storage alloy powder. The metal hydride hydrogen storage device has the beneficial effects that storage positions are provided for hydrogen storage alloy powder by the gaps in the foamed nickel, the internal space of the tank body can be effectively utilized, the pressure caused by alloy powder volume expansion is reduced, and container deformation is avoided; the gaps of the foamed nickel are separated by metal nickel, and flowing accumulation of the alloy powder is avoided; the foamed nickel structure is used, the contact area between the alloy powder and hydrogen can be increased, and the efficiency of hydrogen absorbing and desorbing is improved; the contact area between the alloy powder and the metal foamed nickel is increased, and the conversion efficiency of heat is increased; and the foamed nickel is used as a skeleton structure, the tank body is simple in structure, the size is small, and hydrogen storage device is long in service life and safe.