In this paper we discuss a feasibility to correct the distortions introduced by multiple scattering into lidar measurements of light backscattering matrices (LBSMs) of crystalline clouds. The correction algorithm is based on one of symmetry properties of LBSM and peculiarities of polarization structure of light scattered multiply by significantly non-spherical particles. These peculiarities are large degree of depolarization and its weak dependence both on the depth of light penetration into a cloud and on the feild-of-view angle of a lidar receiving antenna.