We investigated the relation between hydrogenation property and eutectic structure of a Mg-Mg2Ni two-phase alloy that is made by melting Mg and Ni in a sealed steel crucible. Both the hydrogen content and the plateau pressure increase with the rise of the measurement temperature of PCT (Pressure-Composition-Temperature) curve for both the furnace cooled and water cooled specimens. In these specimens, the maximum hydrogen contents increase up to 5.6 mass% as the increase of the cycle number of PCT measurement at 400°C. On the other hand, the maximum hydrogen content of the heat treated specimen does not depend on the PCT cycle number, and maintains a higher value of about 5.6 mass%. The eutectic structures are fine for both the furnace cooled and water cooled specimens, and coarse for the heat-treated specimen. The hydrogenation behavior depends on the morphology of the eutectic structure, that is, the coarsening of the eutectic structure causes the acceleration of hydrogenation.