A method for manufacturing a carbon nanotube assembly including the steps
of: forming metallic fine particles, having a predetermined particle
diameter, on a substrate; heating the metallic fine particles to a
predetermined temperature of 300.degree. C. to 400.degree. C. in a
reducing atmosphere to cause reduction at surfaces thereof; heating the
metallic fine particles to a predetermined reaction temperature in a
reactor; and introducing an organic compound vapor into the reactor to
grow carbon nanotubes on the metallic fine particles in such a way that a
time during which the temperature of the metallic fine particles exceeds
450.degree. C. is 600 seconds or fewer for the period of time before the
growth of the carbon nanotubes is started after the heating of the
metallic fine particles is started.