Process for production of sodium carbonate and hydrogen carbonate integrated with the process for uptake and concentrating carbon dioxide, wherein the process for uptake and concentrating carbon dioxide comprises: - mixing the ammoniated condensate and the distilled condensate from the soda ash plant, to form the mixed condensate at an ammonia concentration in the range of 3.0 - 5.0 M, - cooling down the mixed condensate down to the temperature of 20 - 50°C, - contacting the mixed condensate with the carbon dioxide-containing lean gas from the soda ash plant, and/or lean gas from the baking soda plant, and/or lean kiln gas from lime kilns, - physical and chemical absorption of carbon dioxide from lean gases (9a, 9b, 46) into the mixed condensate, to form a carbon oxide-enriched solution of ammonium salts, that is divided in the range of from 0 to 100% of the flow rate into the stream supplied to the desorber and the stream supplied to the distillation plant of soda ash, as well as the outlet gas stream (18, 19) depleted in carbon dioxide, - desorbing of carbon dioxide and ammonia from the carbon dioxide-enriched solution of ammonium salts by heating in the desorber, to form a gaseous mixture of carbon dioxide, ammonia, and steam, as well as a solution downstream desorption (10, 11), - returning a part or whole solution downstream desorption (10, 11) as a stream returning to the absorber, and supplying the remaining part of this solution as bleeding to the distillation plant of soda ash, - directing the gaseous mixture of carbon dioxide, ammonia, and steam to the gas separation scrubber, - contacting the mixture in the gas separation scrubber with the mother liquor stream from the filtration of soda ash and/or the stream of dilute ammoniated brine, and with the stream of purified brine, with simultaneous cooling the gas, - collecting the concentrated gas stream containing of carbon dioxide >80 vol.% from the scrubber, - collecting the dilute ammoniated brine from the scrubber, whereas the process for preparation of sodium carbonate and hydrogen carbonate comprises: - supplying the concentrated gas to the carbonation column of the soda ash plant, to the baking soda plant, and to the soil lime plant, - absorption of carbon dioxide from the concentrated gas in the carbonation column of the soda ash plant in contact with the ammoniated brine to yield post-reaction gas from carbonation and raw bicarbonate suspension, - supplying the dilute ammoniated brine to the ammonia absorber of the soda ash plant, - supplying the carbon dioxide-depleted outlet gas stream from the absorber to the scrubber of gas downstream carbonation, - supplying the stream of solution downstream desorption to the distillation plant of soda ash, - supplying the stream of carbon oxide-enriched solution of ammonium salts to the distillation plant of soda ash. - supplying the warmed and ammonia-enriched mother liquor stream to the distillation plant of soda ash. - mixing the ammoniated condensate and the distilled condensate from the soda ash plant, to form the mixed condensate at an ammonia concentration in the range of 3.0 - 5.0 M, - cooling down the mixed condensate down to the temperature of 20 - 50°C, - contacting the mixed condensate with the carbon dioxide-containing lean gas from the soda ash plant, and/or lean gas from the baking soda plant, and/or lean kiln gas from lime kilns, - physical and chemical absorption of carbon dioxide from lean gases (9a, 9b, 46) into the mixed condensate, to form a carbon oxide-enriched solution of ammonium salts, that is divided in the range of from 0 to 100% of the flow rate into the stream supplied to the desorber and the stream supplied to the distillation plant of soda ash, as well as the outlet gas stream (18, 19) depleted in carbon dioxide, - desorbing of carbon dioxide and ammonia from the carbon dioxide-enriched solution of ammonium salts by heating in the desorber, to form a gaseous mixture of carbon dioxide, ammonia, and steam, as well as a solution downstream desorption (10, 11), - returning a part or whole solution downstream desorption (10, 11) as a stream returning to the absorber, and supplying the remaining part of this solution as bleeding to the distillation plant of soda ash, - directing the gaseous mixture of carbon dioxide, ammonia, and steam to the gas separation scrubber, - contacting the mixture in the gas separation scrubber with the mother liquor stream from the filtration of soda ash and/or the stream of dilute ammoniated brine, and with the stream of purified brine, with simultaneous cooling the gas, - collecting the concentrated gas stream containing of carbon dioxide >80 vol.% from the scrubber, - collecting the dilute ammoniated brine from the scrubber, - supplying the concentrated gas to the carbonation column of the soda ash plant, to the baking soda plant, and to the soil lime plant, - absorption of carbon dioxide from the concentrated gas in the carbonation column of the soda ash plant in contact with the ammoniated brine to yield post-reaction gas from carbonation and raw bicarbonate suspension, - supplying the dilute ammoniated brine to the ammonia absorber of the soda ash plant, - supplying the carbon dioxide-depleted outlet gas stream from the absorber to the scrubber of gas downstream carbonation, - supplying the stream of solution downstream desorption to the distillation plant of soda ash, - supplying the stream of carbon oxide-enriched solution of ammonium salts to the distillation plant of soda ash. - supplying the warmed and ammonia-enriched mother liquor stream to the distillation plant of soda ash.