The left-right coupling of circularly polarized light in biaxially gyrotropic left-handed media is considered in the present paper. It is shown that this left-right coupling gives rise to the frequency shifts of both left and right handed polarized light propagating inside the biaxially gyrotropic left-handed media. In addition, we discuss the physical origin of left-right couplings of polarized light (i.e.,the nonlocal polarization effect), and its potential applications (e.g., controllable position-dependent frequency shifts) in information science.