Provided are an apparatus for synthesizing carbon nanotubes, the apparatus including a reaction tube that provides a space for carbon nanotubes and is formed vertically long, a heating unit that is formed at the outer side of the reaction tube, and heats the reaction tube, a gas-supply unit that sprays reaction gas for synthesizing the carbon nanotubes by reacting with catalysts positioned inside the reaction tube, an exhaustion unit that is connected to the upper portion of the reaction tube, and discharges non-reacted reaction gas for synthesizing the carbon nanotubes, and a blocking unit that is formed inside the reaction tube, discharges only the non-reacted reaction gas for synthesizing the carbon nanotubes to the exhaustion unit, and blocks the discharge of the carbon nanotubes and catalysts, in which the cross-section of the blocking unit is divided in a plurality of polygon structures, and downward-slanted blocking wings are formed at each divided cell.