A continuous supply precision minimum quantity lubrication pump supporting different lubrication conditions, including a pump system, a gas source processor, a driving system, an oil cup, a water pump, a two-position three-way solenoid valve, a water tank and an emulsion storage tank, wherein the processor is connected with the pump system through a bidirectional joint, the oil cup is connected with the pump system through an oil cup joint, the water pump is installed in a driving box body of the driving system and is connected with the pump system through a hose, the water tank and the emulsion storage tank are connected with the two-position three-way solenoid valve, the two-position three-way solenoid valve is connected with the driving system, and the driving system and the water pump are respectively driven by a stepping motor I and a stepping motor II.