PURPOSE:To provide the coal combustion waste gas purification equipment that prevents environmental pollution due to dust and residual SOx by a method wherein a filtration/dust collector having filter material precoated with pulverized adsorbent particles is installed at the downstream of an adsorption column. CONSTITUTION:Fuel coal is dry distilled and activated to produce an SO2 adsorbent, part of which is pulverized by a crusher 14 and sent by a fan 15 to the filtration-dust collector 13 to precoat filter material. Waste gas from a boiler 1 is passed through the deNOx-SO2-oxidation equipment 3, and the produced SO3 is adsorbed by dust which is collected by an electric dust precipitator 5. SO2 is adsorbed by the moving layer adsorption column 7, and the saturated adsorbent is regenerated in a desorption column 10 and is returned to the adsorption column 7, whereby partly damaged pulverized adsorbent is removed in the separator 12. The filteration dust collector 13 collects pulverized adsorbent generated during movement in the adsorption tower 7. A collector 13 also collects submicron particles not trapped by an electric dust precipitator 5 and SOx not adsorbed by the adsorption tower 7. Thus, purified gas is discharged to the outside.