NOVELTY - Invention relates to heat and power engineering and can be used during the cleaning and recovery process of smoke fumes of heat and power installations for protection of ozone screen and reduction of greenhouse effect of ambient air. Cleaning method includes cooling of smoke fumes up to temperature lower the dew point, condensation of water vapor, release of carbon dioxide by absorption and withdrawal of cleaned smoke fumes into the atmosphere. Cleaning of smoke fumes includes absorption of nitric oxides, sulphur oxides, carbon dioxides, drips and water vapors by nontreated sludge of waste water with its simultaneous heating in absorption tower up to fermentation temperature 30-50 degrees C, washing of waste and cooled gas against remains of nontreated sludge by raw water in flushing tower, separation of received mud mixture by means of sedimentation to muddy water and saturated raw sludge in settling tank, withdrawal of muddy water to irrigated fields, mixing of saturated heated raw sludge from absorption tower with sediment from settling tank, fermentation of saturated heated raw sludge in anaerobic digester with receiving of methane and digested sludge. Device for method implementation contains transit gas pipeline 1, heat exchanger 6, stripping 7 and flushing 15 towers, herewith transit gas pipeline 1 is branched to reserve gas pipeline 2 with slide valve 3, connected to smokestack and actuation gas pipeline 4 with slide valve 5, connected successively to heat exchanger 6, absorbing tower 7, inside which downright there are located transversal inclined interlocking partition 8 with aperture 9 in the form of segment in its bottom part, direction of inclination of which is in turn changes in opposing sides, herewith absorbing tower 7 in its top part is outfitted by feeding branch of raw sludge 10, located on inlet into the first from above interlocking partition 8 and build into in top cover by branch pipe of inlet of treated gas 11, connected to reverse actuation gas pipeline 12, and in its bottom part is outfitted by feeding branches of initial gas 13 and saturated raw sludge, agreeably. Reserve actuation gas pipeline 12 is connected also to flushing tower 15, in top part of which it is placed liquid 16, connected to pipeline of raw water 17, herewith its bottom part is connected by pipeline 18 to settling tank 19, top part of which is connected to pipeline of muddy water 20, and bottom part- to pipeline of raw sludge 21, which, in turn, is connected to anaerobic digester 22.    USE - Heating.    ADVANTAGE - Increasing ecological and cost-effectiveness of cleaning process of smoke fumes of heat and power intallation. 2 cl, 2 dwg