Steam reforming of methanol (CH3OH + H2O --> 3H(2) + CO2) has been performed on a stable AlCuFe quasicrystal for the first time. The AlCuFe quasicrystal reveals excellent activity, after leaching treatment. The production rate of H-2 reaches 235 l/kg min at 573 K for steam reforming of methanol. The activity is due to Cu nanoparticles at the surfaces of quasicrystalline grains which are generated by the leaching treatment. The quasicrystals have two advantages: one is their brittle nature, which allows them to be: crushed efficiently; the other is the involvement of Fe, which suppresses the sintering of Cu particles.