The invention relates to a flue gas desulphurization and denitration method as well as its apparatus, and especially relates to a desulphurization and denitration technology system for flue gas from large-scale mobile facilities such as ships. The method comprises the following steps: flue gas is passed through a heat pipe exchanger and a heat pump in order for increasing temperature of flue gas, and flue gas is selectively passed through an electric heater for heating to the temperature of 340-350 DEG C, an urea solution is used for preparing ammonia gas in a hydrolysis reactor, ammonia gas is diluted by partial high temperature flue gas at an outlet of a SCR reactor and then mixed for injecting flue gas which is undenitrated, the mixed flue gas enters into the SCR reactor for a flue gas denitration reaction, the flue gas after denitration is passed through the heat exchanger, the heat pump and the hydrolysis reactor and cooled, and then enters into a desulfurization tower, flue gas after desulphurization is directly discharged into atmosphere, and an absorption liquid adds alkali and seawater for regeneration and cycle usage. In the method, the heat exchanger and the heat pump are used for recovering waste heat of flue gas, and the energy consumption is greatly reduced. The ammonia production method through hydrolysis is capable of increasing the mixing degree of ammonia and flue gas, so that denitration efficiency can be further increased.