A method of synthesizing catalyst synthesizing and dimethyl ether

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PROBLEM TO BE SOLVED : To provide a dimethyl ether synthesis catalyst which can produce dimethyl ether from a gas containing hydrogen and carbon dioxide with high yield and high selectivity and is excellent in durability, and a dimethyl ether synthesis method using the catalyst. SOLUTION : A dimethyl ether synthesis catalyst contains Cu, Zn, Al, and Ga, and comprises a methanol synthesis catalyst containing one or more kinds of elements selected from alkaline earth metals and rare earth elements, and a methanol dehydration catalyst containing Al and Zr. A method for synthesizing dimethyl ether from a gas containing hydrogen and carbon dioxide by using this catalyst is provided.