The optimal parameters of catalytic purification of flue gases from SO2 and CO2 in trifluoroacetic acid solutions are determined. It is shown that flue gas cleaning from carbon dioxide and sulfur dioxide using trifluoroacetic acid solutions as a catalyst is carried out at room temperature and atmospheric pressure with an efficiency of 100%. The process of gas purification from sulfur dioxide and carbon dioxide is carried out in a non-aggressive medium of trifluoroacetic acid (TFA) solutions. The possibility of increasing the absorption capacity of the reaction medium by pumping the exhaust gases through trifluoroacetic acid solutions has been established. At the same time, polluting waste gases — toxic sulfur and carbon oxides — are converted into higher oligomers (oxides), and then, as a result of their interaction with water, present directly in the reaction medium — TFA aqueous solution, into the corresponding acids. The formation of trifluoroacetic acid esters to a lesser extent leads to an increase in the absorptivity of the reaction medium, a reduction in the number of regeneration stages, a simplified separation of by-products, and, consequently, a simplification of their utilization process due to the absence of the need to purify the latter from these esters.