Based on the analytical solutions of a double clad (W-type) chiral optical fiber, the effects of chirality and thickness of inner cladding on the mode dispersion have been studied by numerical method. Effects of chirality and thickness of inner cladding on the normalized phase constant b, group delay d(Vb)/dV and waveguide dispersion Vd2(Vb)/dV2 as functions of the normalized frequency V for the fundamental mode of double clad chiral optical fibers are presented. The results demonstrate that by introducing chirality to the core, inner and outer cladding of an optical fiber can change its mode dispersion characteristics drastically. The dispersion characteristics are very different for different thickness of inner cladding.