The invention discloses a sheet reeling machine capable of feeding and discharging continuously, and relates to the technical field of sheet reeling machines. The sheet reeling machine capable of feeding and discharging continuously comprises a machine frame, a driving device is embedded in the right side of the machine frame, a main gear is fixedly connected to an output end of the driving device, and a conveying shaft is movably connected to the lower portions of the left side and the right side of the inner wall of the machine frame. The problem that the time interval between sheet reelingoperation and discharging operation of an existing sheet reeling machine is long to influence the machining efficiency is solved. According to the sheet reeling machine capable of feeding and discharging continuously, a movable rod, a returning spring, a compression roller, shaping sleeves and a pull frame are matched with one another to be used, under driving of the driving device, the conveyingshaft can convey a sheet, under the action of the shaping sleeves, the sheet can be quickly shaped, the pull frame is pulled, the shaped sheet can be separated from the two shaping sleeves, so that discharging operation can be rapidly carried out, the discharging time interval is reduced, the machining efficiency is improved; and in addition, the operation steps of discharging are more time-saving compared with that of existing discharging operation, so that operation by an operator is more convenient, and the purpose of convenient use is achieved.