A dehumidification air conditioning apparatus comprising: a carbon dioxide adsorption rotor divided into at least two zones of a reproduction zone and an adsorption zone; a humidity adsorption rotor divided into at least three zones of a reproduction zone, an adsorption zone and a purge zone; a pre-cooler which cools and dehumidifies air; an intercooler which cools air; an aftercooler which regulates a temperature of air; and at least two reproduction heaters (13, 14, 15) which heat air; wherein said dehumidification air conditioner is constituted so that open air is cooled to be dehumidified by said pre-cooler and is passed to said adsorption zone of said carbon dioxide adsorption rotor, the air which passed through said adsorption zone is cooled by said intercooler, the cooled air is branched in a part of the air which passed through said intercooler to be sent to said purge zone of said humidity adsorption rotor, the remaining air is sent to said adsorption zone of said humidity adsorption rotor, the air which passed through said adsorption zone of said humidity adsorption rotor is adjusted of its temperature by said aftercooler and is supplied to a supply destination (dry room) as supply air, the return air from the supply destination is mixed with the air passed through said pre-cooler, the part of the air passed through said intercooler which was branched to pass through said purge zone of said humidity adsorption rotor is heated by at least one of the at least two regeneration heaters (13, 14) to pass through said reproduction zone of said humidity adsorption rotor, after mixing the air passed through said reproduction zone of said humidity adsorption rotor with a part of outside air, the mixed air is heated by at least another of the at least two regeneration heaters to pass through said reproduction zone of said carbon dioxide adsorption rotor, and the air which passed through said reproduction zone of said carbon dioxide adsorption rotor is exhausted. a carbon dioxide adsorption rotor divided into at least two zones of a reproduction zone and an adsorption zone; a humidity adsorption rotor divided into at least three zones of a reproduction zone, an adsorption zone and a purge zone; a pre-cooler which cools and dehumidifies air; an intercooler which cools air; an aftercooler which regulates a temperature of air; and at least two reproduction heaters (13, 14, 15) which heat air; wherein said dehumidification air conditioner is constituted so that open air is cooled to be dehumidified by said pre-cooler and is passed to said adsorption zone of said carbon dioxide adsorption rotor, the air which passed through said adsorption zone is cooled by said intercooler, the cooled air is branched in a part of the air which passed through said intercooler to be sent to said purge zone of said humidity adsorption rotor, the remaining air is sent to said adsorption zone of said humidity adsorption rotor, the air which passed through said adsorption zone of said humidity adsorption rotor is adjusted of its temperature by said aftercooler and is supplied to a supply destination (dry room) as supply air, the return air from the supply destination is mixed with the air passed through said pre-cooler, the part of the air passed through said intercooler which was branched to pass through said purge zone of said humidity adsorption rotor is heated by at least one of the at least two regeneration heaters (13, 14) to pass through said reproduction zone of said humidity adsorption rotor, after mixing the air passed through said reproduction zone of said humidity adsorption rotor with a part of outside air, the mixed air is heated by at least another of the at least two regeneration heaters to pass through said reproduction zone of said carbon dioxide adsorption rotor, and the air which passed through said reproduction zone of said carbon dioxide adsorption rotor is exhausted.