PURPOSE: An apparatus for continuously producing carbon nano-tubes is provided to successively pass a catalyst coated substrate through a heating chamber, a reacting chamber, and a cooling chamber using a conveyor. CONSTITUTION: A conveyor(10) conveys a catalyst coated substrate. An inlet(1) introduces the substrate into an apparatus for continuously producing carbon nano-tubes. A heating chamber(2) heats the substrate. A reacting chamber(3) generates carbon nano-tubes by applying CH-containing gas toward the heated substrate. A cooling chamber(4) cools the substrate on which the carbon nano-tubes. An outlet(6) discharges the cooled substrate. One or complex gas of inert gases are supplied to the heating chamber. One or complex gas of hydrogen, ethylene, and argon is supplied to the reacting chamber.