Abstract: A method for removing burrs in a continuous rolling process including the steps of joining the rear end of a preceding billet with the front end of a succeeding billet using a flash butt welding method while both billets are moving, and grinding a burr on the welded part of the joined portion using a plurality of grinders while the billets are moving and while rotating the grinders and moving the grinders synchronously with the travelling speed of the billets. A grinding machine for continuously rolling a round billet includes a travelling body shuttling along the direction of movement of the round billet, a turret ring rotatably supported by the travelling body, and a plurality of grinding devices arranged in a movable manner within a radius of the turret ring, wherein the grinding devices include grinders which are set at a tilted angle relative to the center axis of the rotatable turret ring.