  The phonon dispersion of chiral single wall carbon nanotubes has been
obtained from $6\times 6$ dyanimic matrix. The present manuscript is the
extension of G. D. Mahan and Gun Sang Jeon's work on armchair and zigzag
nanotubes. [see P. R. B., {\bf 70}, 075405 (2004)]. We use spring and mass
model with the proper phonon potential suggested by \cite{M2}. We can calculate
the dispersion of single wall carbon nanotubes near $\Gamma$ point with
arbitrary chirality. The results are compatible with Mahan et. al's results for
armchair and zigzag SWNTs.
