Provided is an electron-emitting device using a carbon fiber as an electronic member. A carbon fiber through which a cathode electrode and a control electrode are short-circuited is removed to obtain an electron-emitting device having a uniform electron emission characteristic. A first electrode including a plurality of fibers each containing carbon and a second electrode are prepared. Then, a voltage is applied between the first electrode and the second electrode with a state where a potential of the first electrode becomes higher than a potential of the second electrode to remove a carbon fiber through which the first electrode and the second electrode are short-circuited.