Abstract: A pumping machine is disclosed which comprises valve means and air intakes, the valve means comprising a plurality of check valves and having a double-layer structure, the valve means being caused to vertically reciprocate by delivery of compressed air, the air intakes being so formed that external air is introduced in mid course of the reciprocating motion of the valve means, wherein external air is introduced in parallel with suction of water to be pumped up in mid course of the reciprocating motion of the valve means, the introduced air is then compressed, and then expansion force of the air generated by releasing the water with air from the pressure is utilized as water pumping force.