The invention provides a device system for continuously trapping CO2 in flue gas of a cement kiln through a hydrate method. The device system comprises a tail exhaust fan, an electric three-way air valve, a chimney, a flue gas purifying device, a cooler, a flue gas compressor, a CO2 absorbing tower-regeneration tower unit, a cold energy recovery device, a waste heat energy storage device, a dehydration dryer, a CO2 cooler, a CO2 compressor and a liquefied CO2 storage tank. The CO2 absorbing tower-regeneration tower unit comprises a CO2 absorption tower, a poor/rich fluid heat exchanger device and a CO2 regeneration tower, and the above parts are orderly connected. The device system is based on a cement production line process and process equipment, utilizes cement production waste heat as heat exchange energy, utilizes a hydrate accelerator to continuously capture the CO2 in flue gas of the cement kiln, can purify the flue gas, and realizes high efficiency, low self-consumption, low investment and low operating cost.