The invention discloses a numerical control cutting machine capable of rapidly changing a cutter. The numerical control cutting machine comprises a main body and a motor, wherein a base is fixed at the lower end of the main body, a portal frame is fixed on the two sides of the upper surface of the base, a transverse driving lead screw is connected to the upper end of the inner side of the portal frame, a movable block sleeves the surface of the transverse driving lead screw, a lifting air cylinder is fixedly arranged at the lower end of the movable block, the lower end of the lifting air cylinder is connected with a cutting motor, a cutting head is fixedly arranged below the cutting motor, a cutting knife is embedded in the bottom surface of the cutting head, a fixing screw rod is insertedinto the cutting head, and a longitudinal sliding rail penetrates through the upper surface of the base. According to the numerical control cutting machine capable of rapidly changing the cutter, thecutting knife can be randomly replaced according to the cutting requirements of a workpiece, the cutting knife which meets the requirements is replaced, the fixing screw rod is inserted into the cutting knife, and the cutting knife and the cutting head are fixed, so that the flexibility and the application range are improved; and the numerical control cutting machine is suitable for production and use of the numerical control cutting machine capable of rapidly changing the cutter, and has a good development prospect.