A flue gas desulfurization process which comprises the steps of absorbing and separating sulfur oxides from a combustion waste gas using a Ca compound and, as an absorption auxiliary agent, an organic acid which has carboxyl groups at opposite ends of a straight-chain hydrocarbon containing from 1 to 4 carbon atoms in a flue gas desulfurization apparatus, separating the waste water discharged from the desulfurization apparatus in an electrodialyzer which comprises an alternate array of univalent selective anion-exchange membranes and cation-exchange membranes into two solutions: a concentrated solution in which metallic and chlorine ions are concentrated and a dilute solution in which the metallic and chlorine ions are diluted and the organic acid is left behind, and then recycling the dilute solution as an absorbent to the flue gas desulfurization apparatus.