The invention relates to a continuous trapping and generating apparatus for carbon dioxide in cement kiln flue gas. The apparatus comprises a tail exhaust fan, an electric three-way air valve, a chimney, a flue gas oxidation purifier, a membrane separation apparatus, a cooler, a flue gas compressor, a CO2 cyclic capturing tower, a waste heat energy-storage apparatus, a dehydration drier, a CO2 cooler, a CO2 compressor, a liquefied CO2 storage tank, a CO2 high-pressure pump, a CO2 energy-storage apparatus, a current stabilizer, a turbine, a generator and a heat regenerator. The apparatus can realize the requirement of external zero power consumption to cement production, is benefit for realizing a circular economy target of four zeros with one negative for cement enterprises, can greatly reduce the exhaust gas, exhaust water, waste heat and dust pollution on environment during a cement production process, and can effectively realize the effective emission reduction and low carbon production for cement production.