The invention discloses a cutting device of a cutting machine. The cutting device comprises a rotating fixing frame, a rotating device is fixedly installed in the rotating fixing frame, the two ends of the rotating device are installed in the rotating fixing frame, and the rotating device is connected with a rotating motor, the rotating motor drives the rotating device to do rotating motion in therotating fixing frame, and the rotating device is provided with a cutter feeding device; the cutter feeding device comprises a driving motor, the driving motor is connected with a spiral propeller through a speed reducer, the spiral propeller is connected with one end of a cutting swing arm through a hinge, the spiral propeller and the cutting swing arm rotate oppositely, and a cutting blade is installed at the other end of the cutting swing arm; and a swing arm rotating shaft is arranged on the cutting swing arm, the swing arm rotating shaft serves as a supporting point, the spiral propellerdrives the cutting swing arm to control the cutter feeding and retracting actions of the cutting blade, and the two ends of the rotating fixing frame are respectively provided with tight clamping devices; and the invention further discloses a cutting control method and a cutting machine. According to the cutting device of the cutting machine and the control method as well as the cutting machine,the operation is simple and convenient, the use is wide, no cutting chips are generated, and it is guaranteed that the production site is tidy and ordered.