Based on first principles calculations, we propose a mechanism for the diss
ociative chemisorption of H-2 on carbon nanotubes. The breaking of the H-H
bond is concerted with the formation of two C-H bonds on two adjacent carbo
n nanotubes in solid phase, facilitated by the application of high pressure
which shortens the interstitial distance between nanotubes. The process is
reversible upon the release of external pressure and could make an importa
nt contribution to the observed hydrogen storage capacity of carbon nanotub
es. The previously unexplained experimental observations of the direct hydr
ogenation of fullerenes under high pressure lend further support for such a
mechanism.