An electrical discharge machine that performs electrical discharge machining on a workpiece by supplying a machining fluid to a machining gap between a machining electrode and the workpiece, the electrical discharge machine including: an air-bubble generation unit that generates air bubbles in the machining fluid; a storage unit that stores therein the machining fluid containing the air bubbles generated by the air-bubble generation unit; and a flow-rate adjustment unit that adjusts a flow rate of the machining fluid that flows in the storage unit, wherein the flow-rate adjustment unit adjusts the flow rate according to a diameter of the air bubbles contained in the machining fluid to be supplied to a machining tank in which the workpiece is placed.