The invention discloses a circular knife roll-up cutting device, which comprises an air cylinder and a manual operated directional valve. A piston in the air cylinder divides the air cylinder into two inner cavities; a connecting rod is fixedly connected with the piston; one end of the connecting rod is fixed on the piston, and the other end of the connecting rod is positioned outside the air cylinder; two air outlets of the manual operated directional valve are communicated with the two inner cavities of the air cylinder through gas pipelines; and the other end of the connecting rod is connected with a circular knife. The circular knife is adopted and overcomes defects of a sheet knife, the whole knife edge of the circular knife is cutting force points, and the circular knife is convenient and durable and can be used for a long time; and a pressure regulating valve is arranged, so that the service life of a pneumatic device is prolonged and the product quality is not influenced by cutting.