Numerical control flame/plasma cutting machine and underwater plasma cutting machine are high efficiency and energy saving cutting equipments that are suitable for the precise cutting of carbon steels, stainless steel and nonferrous metal plates and that can promote the utility of plates, save time and materials. Numerical control flame and plasma cutting machines include numerical control flame cutting machine, numerical control plasma cutting machine and numerical control flame and plasma two-purpose cutting machine and underwater cutting machine. Numerical control flame cutting machine system have high-quality in cutting 5-300mm thick carbon steels. Numerical control plasma cutting machine have high-quality in cutting 0.5-150mm stainless steels、carbon steels and nonferrous metals. Numerical control underwater plasma cutting machine system, is configured with water bed, can cut underwater, greatly reduce smoke, dust, arc, harmful gas and noise etc that caused by plasma cutting, thus have excellent environment effect.