To provide a volume reducing method for waste and a winding compressor used therefor small and capable of simply making volume reduction of the waste.

Using the winding compressor 10 having a sheet feeding part 66 provided with a rotary driving shaft cantilever supported at a fixing frame 12, a winding member mounted to it and provided with an attaching core part, a stopper member mounted from its end side, a support shaft 63 holding a cylinder body 62 wound with a sheet 11 rotatably, and a brake device 65, the sheet 11 is fitted to the winding member, the waste 61 is inputted inside the sheet 11, the winding member is rotated while applying a tension in the moving direction of the sheet 11, the waste 61 is attached and wound to the winding member while compressing it inward in the radial direction by the sheet 11 to form a massive substance 74, thereafter the massive substance 74 is taken out from the winding material.