We analyse a statistical model for the dynamics of spherical and non-spherical particle settling in a turbulent flow and calculate how the particle dynamics depends on the dimensionless parameters of the problem: Stokes number, Froude number, and particle aspect ratio. We analyse the spatial clustering of identical spherical particles falling through turbulence. This is an important problem in aerosol science. We also compute the angular dynamics of non-spherical particles falling through turbulence. Our results describe, for example, the dynamics of small ice crystals settling in a cold turbulent cloud.