NOVELTY - The process for desulfurization of biogas product in urban, agricultural and/or industrial effluent digester (1), comprises performing non-localized diffused injection of oxidants, gas or liquids in digestates (4) in either high dosage for reducing the formation of hydrogen sulfide or weak dosage for not generating anaerobic digestion. The digester comprises a top enclosure (2) closed by a dome (3), where anaerobic digestion of products takes place in the enclosure to form the digestates with a gas volume (5). The sulfur products remain in the form of dispersed particles in the digestate.    USE - The process is useful for desulfurization of a biogas product in an urban, agricultural and/or industrial effluent digester, and in municipal and/or industrial wastewater treatment facilities, household waste treatment plants (fermentable garbage and/or raw garbage fraction), agricultural residues (manure) processing plants and co-digestion (anaerobic) or co-fermentation facilities.    ADVANTAGE - The process is capable of economically, energy efficiently and easily desulfurizing the biogas product without any environmental problems and deteriorating the dome and enclosure parts of the digester.    DETAILED DESCRIPTION - The process for desulfurization of biogas product in urban, agricultural and/or industrial effluent digester (1), comprises performing non-localized diffused injection of oxidants, gas or liquids in digestates (4) in either high dosage for reducing the formation of hydrogen sulfide or weak dosage for not generating anaerobic digestion. The digester comprises a top enclosure (2) closed by a dome (3), where anaerobic digestion of products takes place in the enclosure to form the digestates with a gas volume (5). The sulfur products remain in the form of dispersed particles in the digestate. The injection of oxidant is performed by gradual increase in the flow including increments until a decrease and then stabilization of the hydrogen sulfide content in biogas. The injected oxidant is a gas comprising air or oxygen. The ratio of the flow rate of oxidant gas is less than 15% of air and 3% of oxygen above which anaerobic digestion is degraded. When an oxidant other than air or oxygen is used, the flow of oxidant injected is 1-5 times the stoichiometry required for the chemical reaction with the sulfide content. INDEPENDENT CLAIMS are included for:    (1) a device for desulfurization of a biogas product; and    (2) an urban, agricultural and/or industrial effluent digester.    DESCRIPTION OF DRAWING(S) - The diagram shows a vertical sectional view of a digester.    Digester (1)    Enclosure (2)    Dome (3)    Digestates (4)    Gas volume (5)    Mixing rod. (9)