A continuous manufacturing apparatus of a carbon nanotube, comprising i) a reactor for synthesizing the carbon nanotube; ii) a separator for separating a mixed gas and the carbon nanotube transferred from the reactor; iii) a gas separation unit including more than one hollow tube polymer membrane for removing at least parts of one component gas from the mixed gas separated; and iv) a re-circulation pipe for recirculating the mixed gas without in part or in whole of the component gas to the carbon nanotube reactor, wherein the reactor for synthesizing the carbon nanotube is a chemical vapor deposition reactor, being a rotary kiln reactor or a fluidized bed reactor, wherein the rotary kiln reactor or the fluidized bed reactor are connected with a catalyst supply pipe for supplying a catalyst; a reaction gas supply pipe for supplying a carbon source, a reducing gas, and an inert gas; and a product discharging pipe for discharging the mixed gas and carbon nanotube produced, wherein the catalyst is a heterogeneous catalyst of which an activated metal is more than 2 species; the carbon source is selected from methane, ethane, carbon monoxide, acetylene, ethylene, propylene, butane and liquefied petroleum gas or a mixture thereof; and the reducing gas is hydrogen, wherein the hollow tube polymer membranes for removing at least part of one component gas from the mixed gas separated is constructed for separating hydrogen with one or more polymers selected from group consisting of polysulfone, polycarbonate, polyimide, and polystyrene and is for operating at a temperature of 50°C or below, and wherein a heat exchanger is installed between the reactor i) and the separator ii) for cooling at the temperature of 40 to 50 °C. i) a reactor for synthesizing the carbon nanotube; ii) a separator for separating a mixed gas and the carbon nanotube transferred from the reactor; iii) a gas separation unit including more than one hollow tube polymer membrane for removing at least parts of one component gas from the mixed gas separated; and iv) a re-circulation pipe for recirculating the mixed gas without in part or in whole of the component gas to the carbon nanotube reactor, wherein the reactor for synthesizing the carbon nanotube is a chemical vapor deposition reactor, being a rotary kiln reactor or a fluidized bed reactor, wherein the rotary kiln reactor or the fluidized bed reactor are connected with a catalyst supply pipe for supplying a catalyst; a reaction gas supply pipe for supplying a carbon source, a reducing gas, and an inert gas; and a product discharging pipe for discharging the mixed gas and carbon nanotube produced, wherein the catalyst is a heterogeneous catalyst of which an activated metal is more than 2 species; the carbon source is selected from methane, ethane, carbon monoxide, acetylene, ethylene, propylene, butane and liquefied petroleum gas or a mixture thereof; and the reducing gas is hydrogen, wherein the hollow tube polymer membranes for removing at least part of one component gas from the mixed gas separated is constructed for separating hydrogen with one or more polymers selected from group consisting of polysulfone, polycarbonate, polyimide, and polystyrene and is for operating at a temperature of 50°C or below, and wherein a heat exchanger is installed between the reactor i) and the separator ii) for cooling at the temperature of 40 to 50 °C. wherein the reactor for synthesizing the carbon nanotube is a chemical vapor deposition reactor, being a rotary kiln reactor or a fluidized bed reactor, wherein the rotary kiln reactor or the fluidized bed reactor are connected with a catalyst supply pipe for supplying a catalyst; a reaction gas supply pipe for supplying a carbon source, a reducing gas, and an inert gas; and a product discharging pipe for discharging the mixed gas and carbon nanotube produced, wherein the catalyst is a heterogeneous catalyst of which an activated metal is more than 2 species; the carbon source is selected from methane, ethane, carbon monoxide, acetylene, ethylene, propylene, butane and liquefied petroleum gas or a mixture thereof; and the reducing gas is hydrogen, wherein the hollow tube polymer membranes for removing at least part of one component gas from the mixed gas separated is constructed for separating hydrogen with one or more polymers selected from group consisting of polysulfone, polycarbonate, polyimide, and polystyrene and is for operating at a temperature of 50°C or below, and wherein a heat exchanger is installed between the reactor i) and the separator ii) for cooling at the temperature of 40 to 50 °C.