A double scissors cutter for cutting a workpiece into substantially rectangular pieces is provided which comprises a pair of jaw members (4,5) adapted to be opened and closed about a pivot shaft (6). Each of the jaw members includes, attached thereto, a cutting blade on an abutting surface thereof, the cutting blades (20,14) being of a substantially U-shaped configuration. The cutting blades are arranged to be inter-engaged with each other with one of the cutting blades being positioned within the other of the cutting blades, so that a workpiece positioned between the cutting blades may be cut in a scissors cutting movement of the jaw members to form cutout pieces of a substantially rectangular configuration. Protuberant structure (20a) is carried on one of the jaw members and extends beyond a plane in which the cutting edge of the associated cutting blade lies. This protuberant structure makes first engagement with the workpiece being cut and deforms or bends the workpiece part being cut out thereby facilitating the following scissors cutting action of the jaw members. A through hole (11) or aperture of a substantially rectangular configuration in a horizontal cross section is formed within the other of the cutting blades, this through hole being the passage by which cutout pieces discharge from the cutter.