Landau quantization of the pi energy bands of a carbon nanotube is cal
culated within the tight-binding approximation. The energy bands do no
t show explicit Landau levels, but they do have energy dispersion for
all values of magnetic field. The energy bandwidth shows oscillations
with a period that is scaled by a cross section of the unit cell of th
e tubule, which is specified the the symmetry of the nanotube.