Abstract: A method and an apparatus for cutting and deburring tubes is disclosed wherein the cutting apparatus includes a cutting device, a double-acting deburring device and two sets of separately actuated carrier jaws for clamping a base tube which is to be cut therein. At least one of the sets of jaws is movable toward and away from the other set of jaws. The method is achieved by feeding a base tube into the pair of separately actuated carrier jaws. The jaws are then closed to clamp the base tube on either side of the cutting device. After the base tube has been cut, the cutoff part of the tube is moved away a predetermined distance to enable the double-acting deburring device to be introduced between the cut ends of the base tube and cutoff part. When the deburring device is in place between the ends, the movement of the cutoff part of the tube is then reversed, whereby it contacts the deburring device which in turn contacts the base tube.