Abstract: An air-suction chip removing device for use in continuously removing chips produced by a cutting tool such as a drill when a work is processed by a machine tool to another place without inflicting any damage onto the work. This device is characterized in that a surrounding body (8) is provided around the proximal end of a cutting tool (7) mounted on a spindle (1), that a tubular member (14) adapted to surround the cutting tool (7) in such a manner as to be freely withdrawn, that this tubular member (14) is formed into a shape in which an opening (p) formed in the distal end of the cutting tool (7) is narrowed toward the center of the cutting tool (7) and is biassed toward the distal end of the cutting tool (7) by means of a spring (17), and that a suction pipe (9) is connected to the surrounding body (8) for sucking air from the inside of the tubular member (14).