TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Process: The first solvent is between 20 and 85% amine by weight and the second solvent is at least 95% amine by weight. The solvent loaded with (H2S) obtained in the first step and the solvent loaded with water obtained in the second step are regenerated by a single regeneration circuit.In step (a) the natural gas is put in contact with the first solvent containing amine and water and with the solvent loaded with water obtained from step (b). In an additional step (c), the solvent loaded with (H2S) from (a) is distilled to obtain a first water vapor loaded with (H2S) and a regenerated solvent, and a first part of the solvent is recycled to step (a) as the first solvent.In an additional step (d), a second part of the regenerated solvent is distilled in the presence of hydrocarbons with more than five carbon atoms to obtain a second water vapor and the second solvent which is at least 90% amine and used in step (b). Step (d) is carried out at a pressure below atmospheric. In step (b), the second part of the regenerated solvent is between 1-50% of the solvent from step (c). The solvent loaded with (H2S) is expanded before step (c).Steps (c) and (d) are carried out in first and second distillation columns respectively, with additional steps (e) where the second vapor from step (d) is cooled to obtain a liquid aqueous phase and a third vapor containing (H2S), and (f) where a first part of the aqueous phase is introduced at the head of the first column and a second part at the head of the second column.Alternatively, the second vapor from stage (d) is cooled to obtain a liquid aqueous phase, liquid hydrocarbons and a third vapor containing (H2S), and (f) part of the aqueous phase is introduced at the head of the first column and part of the liquid hydrocarbons is introduced at the base of the second column. A step (g) draws the third vapor from step (e) using a water vapor ejector to obtain a flow containing water and (H2S) which is introduced into the first column. A step (h) cools the first vapor from step (c) to obtain a second liquid containing water and a fourth vapor containing (H2S), and step (i) part of the second liquid is introduced at the head of the first column. A step (j) draws the third vapor from step (e) using a vacuum pump.Preferred Amine: The amine is methyldiethanolamine or dimethylethanolamine.