Abstract: In a process for the preparation of aromatic polyesters by polycondensation of diphenols with chlorides of aromatic dicarboxylic acids by the two-phase interfacial polycondensation process, in which a dispersion as the reaction mixture is prepared from an aqueous phase, which contains the diphenolate formed with the aid of alkali metal hydroxide, and an organic-liquid phase containing the acid chlorides, this dispersion is passed, in the apparatus which is intended for carrying out the process and which comprises a reaction kettle and a dispersing device included with the latter in a circulation, through the dispersing device and the reaction kettle, the acid chloride dissolved in a largely anhydrous chlorinated solvent being continuously fed into this circulation at a point which, in the direction of flow, is upstream of the dispersing device.