Aerosols contributes much to the ultraviolet non-line-of-sight communication. Based on the Mie theory, this paper derives recurrence functions of Mie scattering coefficient and angle scattering coefficient, and uses the recurrence functions to compute the ultraviolet scattering phrase function. The results show that the larger the scattering particle radius, the stronger the forward and backward scattering effects. When scattering particles are smaller, ultraviolet forward scattering is weaker than back scattering, and the range of phrase function is not large. However, when scattering particles become larger, the ultraviolet forward scattering is much stronger than scattering in the backward and other directions.