A method has been developed which uses hydriding alloys to form methane through the reaction of absorbed carbon dioxide on the hydride surfaces with the desorbed hydrogen from the hydride. As we know, hydriding alloys can easily absorb and desorb through changing temperature at low temperatures. It is possible to convert carbon dioxide to methane using the Pressure-Temperature-swing process. It has been confirmed that fluorinated hydriding alloys with large specific surface area can be used for methanation. Unlike untreated hydriding alloys, the water that is produced during methanation reaction shows less effect on the methanation reaction if using fluorinated hydriding alloys as the catalyst. The methane conversion rate can be calculated from mass conservation.