Abstract: (1) In a gas-phase catalytic oxidation process for conducting gas-phase catalytic oxidation reaction using a fixed bed multipipe type reactor having reaction tubes filled with a catalyst while feeding a reaction raw gas thereinto, the catalyst is filled in each of the reaction tubes of the fixed bed multipipe type reactor to form two or more catalyst layers having different catalytic activities from each other in a direction of the oxidation reaction, and the catalyst layer disposed nearest to a reaction raw gas inlet of the reaction tube has a higher catalytic activity than that of the next catalyst layer adjacent thereto, or (2) in a process for producing (meth)acrolein or (meth)acrylic acid by subjecting a raw material of the (meth)acrolein or (meth)acrylic acid, and molecular oxygen or a molecular oxygen-containing gas to gas-phase catalytic oxidation reaction using a fixed bed multipipe type reactor having two or more catalyst layers in an axial direction of each of reaction tubes provided in the reactor