Dry sorbent injection DSI dry scrubber device for the reduction of polluting emissions, in particular sulphur oxides and fine particles, from a stream of combustion gases, comprising: - a first section of mixing and reaction comprising an inlet for a stream of dirty gases containing at least a pollutant to be removed and a mechanical dispensing device of a sorbent material in said stream of dirty gases - a second section of reaction, downstream of said first section comprising at least one reaction chamber of said stream of dirty gases with said sorbent material to generate the chemical/physical separation of said pollutant from said stream of gases, so as to obtain a cleaned stream of gases in which fine particles are dispersed in suspension generated by the reaction of said pollutant with said sorbent material - a third section of removal of said fine particles and of fine particles produced by unburned hydrocarbons, downstream of said second section, comprising at least one mechanical filter for the separation of said fine particles from said cleaned mass of gases characterized in that - said section of mixing and reaction comprises a fluid distributor - said reaction section comprises a plurality of reaction chambers, said distributor being in fluid communication at least with said plurality of reaction chambers for distributing said stream of dirty gases added with said sorbent material in said plurality of reaction chambers, - said mechanical filter of said removal section comprises a plurality of ceramic filtering sleeves, each in fluid communication with a reaction chamber - each filtering sleeve and its respective reaction chamber with which is in fluid communication being substantially aligned and engaged with each other so that said cleaned stream of gases, in which said fine particles are dispersed in suspension, crosses said filtering sleeves from the inside to the outside, - each reaction chamber being provided at least with a first cleaning device in contact at least with an internal face of said reaction chamber - each sleeve being provided with at least a second cleaning device. - a first section of mixing and reaction comprising an inlet for a stream of dirty gases containing at least a pollutant to be removed and a mechanical dispensing device of a sorbent material in said stream of dirty gases - a second section of reaction, downstream of said first section comprising at least one reaction chamber of said stream of dirty gases with said sorbent material to generate the chemical/physical separation of said pollutant from said stream of gases, so as to obtain a cleaned stream of gases in which fine particles are dispersed in suspension generated by the reaction of said pollutant with said sorbent material - a third section of removal of said fine particles and of fine particles produced by unburned hydrocarbons, downstream of said second section, comprising at least one mechanical filter for the separation of said fine particles from said cleaned mass of gases - said section of mixing and reaction comprises a fluid distributor - said reaction section comprises a plurality of reaction chambers, - said mechanical filter of said removal section comprises a plurality of ceramic filtering sleeves, each in fluid communication with a reaction chamber - each filtering sleeve and its respective reaction chamber with which is in fluid communication being substantially aligned and engaged with each other so that said cleaned stream of gases, in which said fine particles are dispersed in suspension, crosses said filtering sleeves from the inside to the outside, - each reaction chamber being provided at least with a first cleaning device in contact at least with an internal face of said reaction chamber - each sleeve being provided with at least a second cleaning device.