A multi-cutter cutting device is composed of a chassis having a guide channel, a rotary member rotatably mounted to the chassis and located at one end of the guide channel, and a plurality of cutting units. Each of the cutting units includes a shell mounted to the rotary member, and a cutter rotatably mounted to the shell and having a cutting edge protruding downward from a bottom side of the shell. Each of the cutting units can be moved along with the rotary member and along a radial direction of the rotary member to be separated from the rotary member and then can continue to move along the guide channel. In light of the above, the cutting device is structurally simple and can be easily manufactured and assembled. Besides, the cutting device is flatter to be easily packaged and stored.