In this paper, we investigated the optical properties of stacked right-and left-hand chiral photonic crystal layers. The reflection spectra peculiarities of this system were investigated showing that, in contrast to a single CLC layer, there are multiple PBGs. The Eigen polarizations (EP) of the system are degenerated and the polarization plane rotation decreases if the system thickness is increased; the rotation sign depends on the first sublayer chirality sign. We also investigated the influence of sublayer thicknesses, sublayer local dielectric anisotropies, and sublayer helix pitches on the reflection peculiarities of the system.