An electrostatic precipitating apparatus for a cooling tower is provided. The precipitating apparatus include an electrostatic precipitator including a plurality of discharge electrodes to which a voltage is applied and a plurality of electrostatic precipitating electrodes each disposed between the discharge electrodes and grounded, a washing water supply spraying the washing water to the electrostatic precipitator, and a frame assembly supporting the electrostatic precipitator. The electrostatic precipitator includes a first setting beam having a plurality of lower slots into which the discharge electrodes are fixedly inserted, and the frame assembly includes a lower frame extending in a stacking direction of the discharge electrodes to support the first setting beam, via which a voltage is applied to the discharge electrode.