The invention relates to a screw pump driving device. The screw pump driving device comprises a driving motor, a driving base, a blowout preventer and a sucker rod polished rod; the driving motor comprises a hollow motor shaft, a rubber cylinder jacket and a square clamp; the driving base comprises a central tube, a main shaft, a central tube bearing, a cap head, a packing seal, a packing pressingcap, a braking flange, a braking jackscrew, upper and lower mechanical seals, a bearing cap, a cylindrical pin, an oil pointer, a carrying bearing, a base shell, an oil injection plug, a bottom flange, an oil drain plug and upper and lower alignment bearings; and the blowout preventer comprises a blowout preventer shell, a pressure relief screwed plug, a wellhead connector, a wellhead flange connector and a polished rod clamping device. By means of the driving device, the risk of flyout of the rod or the square clamp or other parts is avoided, risks caused by the failure of the blowout preventer are reduced, the service life of the motor is prolonged, pipeline backflow caused by falloff of the polished rod is prevented, the economic loss and environmental pollution caused by oil leakage are avoided, rigid friction between the polished rod and an inner hole of the hollow motor shaft is prevented, and the motor main shaft is protected.