A method of producing an electron emitting device includes: step A of providing an aluminum substrate or providing an aluminum layer supported by a substrate; step B of anodizing a surface of the aluminum substrate or a surface of the aluminum layer to form a porous alumina layer having a plurality of pores; step C of applying Ag nanoparticles in the plurality of pores to allow the Ag nanoparticles to be supported in the plurality of pores; step D of, after step C, applying a dielectric layer-forming solution onto substantially the entire surface of the aluminum substrate or the aluminum layer, the dielectric layer-forming solution containing, in an amount of not less than 7 mass % but less than 20 mass %, a polymerization product having siloxane bonds; step E of, after step D, at least reducing a solvent contained in the dielectric layer-forming solution to form the dielectric layer; and step F of forming an electrode on the dielectric layer.