A method is provided for separating CO2 from an exhaust gas flow of a combustion process. The method includes: compressing the gas flow and cooling the compressed gas flow. The method also includes feeding the cooled gas flow to a swirl nozzle and separating the CO2 from the gas flow in the swirl nozzle. The method also includes discharging the CO2 which is separated in the swirl nozzle from the swirl nozzle for separate further treatment. A CO2 separating device is also provided that separates CO2 from an exhaust gas flow of a combustion process that operates with fossil fuels. The device includes a swirl nozzle which is exposed to through-flow of the gas flow, a compressor located upstream or downstream of the swirl nozzle, and a plurality of cooling devices which are provided upstream of the swirl nozzle for cooling of the gas flow which comes from the compressor.