A model for a kind of non-spherical particles with elliptical cross section is established, and their phase functions are obtained. Based on the radiative-transfer equation, considering the shape and size distribution, we obtain the multiple light scattering of this kind of particles. Our results are in agreement with the earlier results in two special cases, which verifies that our method is reliable. The calculation and analysis show that the distribution of multiple scattered intensities of non-spherical particles is flatter than that of the spherical particles. The larger the shape parameter or the size of particles is, the smaller the scattering angle is. The wider the size-distribution or shape-distribution is, the flatter the angular distribution of the light intensity is. The angular distribution of the light intensity becomes flatter with the increasing optical thickness. The multiple scattering intensity at a scattering angle at first increases and then decreases with the increasing optical thickness. A new potential way of studying the multiple light scattering of actual non-spherical particles is provided.