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Lunar Horizon Glow (LHG) is the glow produced by the sun light scattered by the dust particles levitating in the lunar dusty plasma mantle. The mechanisms which kick the dust particles from the surface of lunar regolith an d make it levitate are not yet completely studied. Among possible candidates are the solar wind, which blows the dust off the surface, and meteoric bombardment. Electric field of charged lunar surface is supposed to suspend the dust particles at heights ranging from meters to kilometers and more. If so, dust particles, which are generally not spherically symmetric, might be preferably oriented along the electric field lines. This prevalent orientation of these particles should be manifested in the scattered light. In particular, polarization state of the scattered radiation is sensitive to the orientation of non-spherical dust grains. In the present work, Lunar Horizon Glow (LHG) has been simulated numerically. The vector radiative transfer equation (VRTE ) for single-scattered solar radiation in optically thin medium has been solved numerically. Simulation code in C++ programming language has been developed. Individual scattering properties of non-spherical dust grains have been calculated with public available T-matrix computer codes. Angular distributions of the Stokes parameters (intensity and polarization state) have been calculated for various sets of the dusty mantle parameters (dielectric properties of the dust, shape, vertical concentration profile etc.)