An acceleration detection unit for detecting acceleration is mounted on a driven body. When a previous block is a positioning command, the system waits till the detected value of acceleration detected by the acceleration detection unit becomes equal to or less than a set value αs after the distribution of the movement command of the positioning command is ended. If the detected value of acceleration becomes equal to or less than the set value αs, the distribution of the movement command of the next block is started. Because the cutting feed, etc., is started after the detected value of acceleration has become equal to or less than the set value αs and the vibrations stopped, machining can be conducted with high accuracy.