The construction of two types of vortex mills was considered. In the first type, a gas is reduced tangentialiy through orifices in a cylindrical chamber wall. The coarse particles are loaded in the cylindrical rarefaction zone on the axis of the center orifice; in ihe second type, a gas-particle mixture is reduced by the pressure head device tangenlially through orifices in an internal cylindrical wall. The accelerated particles are ground by collisions with the external chamber wall in both cases. The mathematical modeling of gas-particle flow in these vortex chambers was executed. The numerical results showed that the first type of mill is suited for superfine grinding in the wide range of initial particle sizes (10μm-lmm). While the second type of mill proved to he considerably more economical than the first type, the particles had to have initial sizes between 10-200μm.