The invention discloses a coiling block paper die-cutting machine with a waste removing function. The coiling block paper die-cutting machine is characterized by being composed of a coiling block paper discharging unit, a die cutting unit, a waste removing unit, a finished product cleaning unit and a waste edge collecting unit, coiling block paper is discharged from the coiling block paper discharging unit, the die cutting unit is used for die cutting of the coiling block paper, small waste in the middle of a die cutting finished product is poked out through the waste removing unit, the die cutting finished product is poked out of the coiling block paper through the finished product cleaning unit, and remaining waste edges are collected through the waste edge collecting unit. According tothe coiling block paper die-cutting machine, the coiling block paper can be used for die cutting production, the functions of automatic waste removing, finished product collecting and waste edge collecting are achieved, the coiling block paper conveying quality and the all-unit linkage performance are good, the overall equipment movement harmony is improved, the production speed is further increased, traction and transmission can adapt to different-version die cutting products, and the structure is simple.