The invention relates to a turbulent ball type turbocharging compound desulfurization dust removal tower, which belongs to the technical field of gas purification and comprises a spraying tower body, a gas inlet, a smoke outlet, a slurry discharger, a slurry discharge pump, a Roots blower, multilayer spraying pipes, an annular separation plate, a circulation pump, a demister, a disturbance pump and a plurality of turbulent ball type turbocharging acceleration smoke gas desulfurization dust removal devices, wherein the turbulent ball type turbocharging acceleration smoke gas desulfurization dust removal devices are arranged in the tower and respectively comprise a casing, a pipeline, upper and lower porous end plates, a turbulent ball and a plurality of blades, the pipeline is fixedly arranged in the center of the casing, the upper and lower porous end plates are respectively arranged at the upper end and the middle part of the casing, the turbulent ball is filled in the space between the upper and lower porous end plates, the blades are arranged between the porous end plates and the pipeline, the upper end of each blade is connected with the inner wall of the casing, the lower end of each blade is connected with the outer wall of the pipeline, and the lower end of the casing is connected with a smoke shielding cover. The turbulent ball type turbocharging compound desulfurization dust removal tower has the advantages that the full gas and liquid contact can be realized under the conditions of the shortest time, the smallest space and the lowest liquid-gas ratio, the high-speed mass transfer is carried out, and the high dust removal and desulfurization efficiency can be improved at the minimum energy consumption.