Relevance. Currently, most industrialized countries face the problem of air pollution by emissions from thermal power plants and other industrial enterprises. Flue gases from thermal power plants are characterized by high volume emission rates and rather low concentrations of harmful impurities (nitrogen and sulfur oxides). Nowadays, the following flue gas cleaning technologies are mainly used: homogeneous (catalytic-free) reduction of nitrogen oxide with ammonia, catalytic selective reduction using ammonia, direct absorption of nitrogen oxide with simultaneous absorption of SO2, lime and limestone, magnesite and ammonia methods. Technological processes currently used in metallurgy, chemistry, power engineering, and mechanical engineering require new solutions aimed at increasing the specific productivity per unit volume of the reaction zone. An increase in the specific productivity of the above processes can occur when switching to ultra-high temperatures (over 5000°C) and high rates of reagent transfer through the interaction zone, which can be realized in the case of their gas transport with energy supply from an external source. This situation is realized in plasma-chemical systems. One of the most effective physical and chemical methods at present is the method of removing nitrogen and sulfur oxides from exhaust gases of thermal power plants using high-energy electron beams. Aim. Review of plasma-chemical methods of flue gas purification using pulsed electron beams, as well as identification of the advantages and disadvantages of existing methods. Results and conclusions. The paper presents the main chemical, electrophysical, catalytic and plasma-chemical methods of flue gas purification. Particular attention is paid to methods in which pulsed electron beams are used as plasma sources. Basic information on flue gas purification is presented with the name of the installations, accelerator parameters, and cleaning efficiency. This review contains useful information for specialists involved in developing flue gas cleaning methods.