A CPF numerical model was proposed with experimental verification. The paper introduced PM (particulate matter) catalytic regeneration percentage (α) as a criterion of CPF catalytic efficiency, investigated the influences of inlet conditions on catalytic efficiency, and selected the catalyst loading based on certain catalytic efficiency range. In addition, the effects of three kinds of channel shape, wall permeability and soot permeability on the pressure drop of CPF, the frequency of active regeneration and the maximum regeneration temperature were investigated. The results show that during certain temperature range, the increases in initial soot quantity and NO/NO2 volume proportion enhance the catalytic efficiency; the active regeneration frequency drops under the condition of hexagon channel, high wall permeability and high soot permeability; the maximum active regeneration temperature is low under the condition of square channel, high wall permeability and low soot permeability.