An air compressed coffee or tea making machine includes an air tank storing high pressure air; the air tank being connected to an air compressor for compressing external air so as to drive the high pressure air within the air tank; at least one liquid storage tank for storing liquid therein; a filtering tank installed below the air tank and connected to the liquid storage tank; a receiving tank installed below the filtering tank; the receiving tank serving for receiving coffee powders or tea powders therein. The liquid of the liquid storage tank is filled into the filtering tank; by the high pressure air from the air tank, liquid within the filtering tank suffers from a uniform air pressure and then flows to the receiving tank; as a result, the liquid is uniformly mixed with the coffee or tea powders within the receiving tank.