As shown in FIG. 8C, the field emission cold-cathode device according to this embodiment has extracting electrodes, i.e., gate electrodes 54 formed on a support substrate 12 via an insulating film 52 by using a conductive material such as W, in addition to the structure shown in FIG. 3B. The gate electrode 54 opposes an emitter 14 made up of carbon nanotubes 16 with a gap between them.