1. A vertical nano-sized transistor using carbon nanotubes comprising: an insulating layer having holes, the holes having nano-sized diameters; carbon nanotubes vertically aligned in the holes; gates formed over the insulating layer in the vicinity of the carbon nanotubes; a nonconductor film deposited on the gates to fill the holes; drains formed over the nonconductor film and the carbon nanotubes; and sources formed under the insulating layer and the carbon nanotubes.