NOVELTY - A dry carrier is immersed in solution of cerous nitrate and lanthanum nitrate, sintered and dried, to obtain modified carrier (A). The modified carrier (A) is immersed in dissolvable nickel salt liquor, sintered and dried, to obtain reaction product (B). The modified carrier (A) is immersed in platinic chloride liquor, sintered and dried, to obtain reaction product (C). The reaction product (B) is immersed in platinic chloride liquor, or the reaction product (C) is immersed in dissolvable nickel salt liquor, dried and deoxidized in presence of mixed gas, to obtain catalyst.    USE - Manufacture of catalyst used for synthesizing methane and carbon dioxide.    ADVANTAGE - The method economically provides catalyst having high catalytic activity and sinterability, and suppressed carbon deposition characteristics.    DETAILED DESCRIPTION - A dry carrier is immersed in a mixed solution of cerous nitrate and lanthanum nitrate at room temperature for 2-30 hours, sintered at 500-1000 degrees C under air for 2-10 hours and dried at 100-140 degrees C for 2-6 hours, to obtain a modified carrier (A). The obtained modified carrier (A) is immersed in a dissolvable nickel salt liquor for 2-30 hours, sintered at 500-1000 degrees C in air for 2-10 hours and dried for 2-6 hours, to obtain reaction product (B). The obtained modified carrier (A) is immersed in a platinic chloride liquor for 2-30 hours, sintered at 500-1000 degrees C in air for 2-10 hours and dried for 2-6 hours, to obtain reaction product (C). The obtained reaction product (B) is immersed in the platinic chloride liquor for 2-30 hours, or the obtained reaction product (C) is immersed in dissolvable nickel salt liquor for 2-30 hours, sintered at 500-1000 degrees C in air for 2-10 hours and dried for 2-6 hours, to obtain nickel radical catalyst precursor containing cerium oxide radical addition agent and metal platinum. The nickel radical catalyst precursor containing cerium oxide radical addition agent and metal platinum is deoxidized in presence of mixed gas (10-30%) of hydrogen and oxygen at 500-800 degrees C for 1-4 hours, to obtain catalyst. Alternately, the nickel radical catalyst precursor containing cerium oxide radical addition agent and metal platinum is obtained by immersing the modified carrier (A) in mixed solution of cerous nitrate and lanthanum nitrate at 20-30 degrees C for 12-30 hours, sintering at 500-1000 degrees C for 2-10 hours and drying for 2-6 hours. The catalyst contains (in mass%) nickel (5-20) obtained from dissolvable nickel salt liquor, cerium oxide radical addition agent (0.1-5), platinum (0.01-1), and remainder of carrier. The carrier is ( gamma )-alumina and/or nickel aluminate. The cerium oxide radical addition agent is lanthana and/or titania. The mole ratio of cerium oxide and other oxide in the cerium oxide radical addition agent is 5/1-1/5.