In the process for producing (meth)acrolein or (meth)acrylic acid, which comprises feeding a raw material of the (meth)acrolein or (meth)acrylic acid, and a molecular oxygen-containing gas mixed with a diluting gas and compressed by a compressor, to an oxidation reactor to conduct a catalytic gas-phase oxidation reaction therebetween; feeding the obtained reaction gas to an absorption column to contact with water; recovering an aqueous solution of the (meth)acrolein or (meth)acrylic acid from a bottom of the absorption column and an exhaust gas from a top of the absorption column; and recycling a part or whole of the thus recovered exhaust gas to use as the diluting gas, the temperature of the mixed gas at a suction inlet of the compressor is controlled to a temperature higher than a dew point thereof. According to the process of the present invention, the compressor is prevented from suffering from clogging or damage thereto.