A method for manufacturing carbon nanocoils that uses a reactor, including the steps of: heating an interior of the reactor, causing a hydrocarbon gas to flow in the reactor, dispersing an indium/tin/iron-based catalyst in a form of particles in the hydrocarbon gas, and allowing carbon nanocoils to grow on a surface of the catalyst while decomposing the hydrocarbon near the catalyst. The method can be comprised of the steps of: disposing a rotor inside a reactor, heating an area near the peripheral surface of the rotor, causing a hydrocarbon gas to flow in the reactor, coating a part of the peripheral surface of the rotor with an indium/tin/iron-based catalyst that is in a form of particles, allowing carbon nanocoils to grow on a surface of the catalyst coated on the rotating rotor, and collecting carbon nanocoils, which are grown during a rotation of the rotor, from the rotor.