Molecular dynamics of cetyltrimethylammonium Bromide (CTAB) micelle has been studied in the temperature range 310-340 K using quasielastic neutron scattering technique. Data analysis clearly shows the presence of two distinct motions; i) whole micellar motion or global diffusion and ii) faster internal motion of the CTAB monomer. The global diffusion associated with the whole micelle is found to be Fickian in nature and diffusivity is found to increase with temperature. A localized translational model describes internal motion of the micelles. Addition of an electrolyte, which is known to affect the size/shape of micelles, does not affect the dynamics of the CTAB micelles. This is in contrast with anionic sodium dodecyl sulfate micelles where addition of electrolyte results in slowing down of the dynamics.