Discussions have been made of the electromagnetic wave propagation through optical fibers of elliptical and circular cross-sections with the loadings of conducting sheath helix at the core-clad interface with particular orientations. In both geometrical situations, the core section of fiber is assumed to be composed of chiral nihility medium, and the clad remains linear, homogeneous, isotropic, and nonmagnetic dielectric. Dispersion relations are deduced for both fiber structures, followed by the analysis of dispersion features considering a few low-order EH modes. Furthermore, the effects of conducting helix pitch angle on the features of wave propagation are also discussed.