Gear processing machine (4), such as a gear cutting or grinding machine, wherein a chamfering and/or deburring apparatus (2) and auxiliary spindle (10) are included on the same machine. A transfer mechanism (8) loads, unloads and transfers workpieces between a machining spindle (6) and the auxiliary spindle (10) thereby enabling simultaneous cutting and chamfering and/or deburring processes to be carried out. Via the auxiliary spindle, completed workpieces may be removed from the machine and blank workpieces may be loaded into the machine while another gear is being processed on the machine spindle thereby enhancing machine output and creating a more efficient operation.