The present invention relates to processes for the purification of single-wall carbon nanotubes (SWNTs). Known methods of single-wall carbon nanotube production result in a single-wall carbon nanotube product that contains single-wall carbon nanotubes in addition to impurities including residual metal catalyst particles and amounts of small amorphous carbon sheets that surround the catalyst particles and appear on the side of the single-wall carbon nanotubes. The present purification processes remove the extraneous carbon as well as metal-containing residual catalyst particles.