The influences of flow-equilibrating device on flue gas purification by spray drying are studied numerically with RNG k-ε turbulent model and stochastic droplet track model. The effects of flow-equilibrating device on flue gas streamline, droplets distribution, internal resistance, adhering ratio and purification efficiency are investigated. The flow field is more uniform and symmetrical after the flow equalization plate is added. The internal resistance decreases gradually with increasing diameter of the opening area of flow equalization plate. The percentage of droplet adhering on the wall is first increased, and then decreased when opening area diameter increases from 0.2 to 0.7 m. The maximum value reaches 38.2% when the diameter equals to 0.4 m. The purification efficiency for SO2 and HCl has increased after the plate is added. The desulphurization efficiency increases from 60.25% to 68.56%. HCl removal efficiency increases from 93.73% to 97.62%. The results can provide theoretical basis for flue gas purifying system optimization and parameters selection.