A method of producing a cold-cathode display device in which fluorescent layers are activated by electrons which flow from a plurality of emitters disposed on a first substrate, toward a plurality of anodes disposed on a second substrate so that said fluorescent layers fixed to surfaces of said anodes are activated by the electrons, to emit light, said method including a step of parallelly superposing said first and second substrates on each other while positioning a plurality of gate electrodes, which have a plurality of through-holes permitting the flowing electrons to pass therethrough, between said first and second substrates, and a step of fixing said first and second substrates to each other,
- said method being characterized by including a thick-film-sheet-member fixing step of fixing a thick-film sheet member onto one of said first substrate provided with said emitters and said second substrate provided with said anodes, said thick-film sheet member having a thick-film dielectric layer having said through-holes, and a plurality of thick-film conductive layers disposed on said thick-film dielectric layer and electrically independent of each other, so as to constitute said gate electrodes.