A bone grafter attachment for removing and collecting bone fragments from a donor bone site using a surgical rotational handpiece includes a rotatable drill having a shank engageable with the handpiece and a cutting member, and a container for receiving bone fragments. The container has an opening through which the cutting member passes. The container is held against the donor bone during operation, and the container is held against rotation during rotation of the drill. The drill is axially movable relative to the container to enable the drill to penetrate into the bone. When the drill is rotated by the handpiece and the cutting member thereof engages bone, bone fragments are created and pass over the cutting member and through the opening into the container. Preferably, the cutting member of the drill has flutes through which the bone fragments pass into the container. The collected bone fragments can be removed from the container and used in a bone grafting procedure.