Abstract: A rotary cutting die apparatus for cutting corrugated board and trimming an outside trim piece from the corrugated board. The rotary cutting die apparatus includes a die cylinder, a cutting die mounted to the die cylinder, and an anvil cylinder disposed adjacent the die cylinder. Mounted on the cutting die is at least one trim cutting blade for trimming an outside portion from a corrugated board passing between the die cylinder and the rotary anvil. Mounted on the cutting die outside of the trim blade is one or more trim strippers or devices for engaging the cut trim pieces and moving the cut trim pieces away from the cutting die and generally separating them from the finished corrugated board product produced by the die cutting apparatus. In the case of the embodiment illustrated herein, each trim stripper or device includes a base secured to the cutting die and an angled elastomer finger extending from the base.