A method for the removal of the dusts from combustion exhaust gases, particularly those of heavy oils, by using a fixed packed bed without a remarkable increase in the pressure loss at the fixed packed bed, which is characterized in that the filler filled in the fixed packed bed is a spherical, cylindrical or annular filler containing pores having a pore diameter which ranges from 100 to 70,000 A and a pore volume of not less than 0.1 cm.sup.3 /g, at least 20% of the pores have a pore diameter of not less than 1,000 A, and the filler having a diameter of 1 to 15mm at a minimum.