A flat display comprising a first electrode (2) formed on a first substrate (1), an insulating layer (3) so deposited on the first substrate (1) as to cover the first electrode (2), a second electrode (4) deposited on the insulating layer (3) perpendicularly to the first electrode (2) to form a matrix electrode, insular electrodes (6) deposited near the second electrode and connected to the first electrode (2) through individual conductors (26) extending through the insulating layer (3), and a dielectric layer (7) so deposited on the insulating layer as to cover the second electrode (4) and the insular electrodes (6), whereby electrical discharge with the insular electrodes (6) is selectively caused. The flat display has a simple structure and is easily produced. The electrical discharge is stable, crosstalk hardly occurs, and the resolution is high.