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This paper analyzed the energy consumption characteristics of typical limestone-gypsum wet flue gas desulfurization (FGD) system which is widely used in power plant for SOx removal, and discussed its optimal operation. In the FGD system, booster fan; circulating slurry pump and oxidation fan are three major energy consuming devices. We established the mathematical models to disclose the relationship between the energy consumption and the desulfurization features of these equipments. On this basis, we obtained the performance curve of these equipments and proposed the optimal operation ways of the FGD system. The promising results obtained here provide a new approach for desulfurization with low energy consumption.