A display front plane having an anti-reflection film in thickness uniformity and good adhesion between the anti-reflection film and the base material is supplied. Each of a display lenticular lens and a display fresnel lens having a sophisticated anti-reflection function with a high total light transmittance is also to be provided. As for the display front plane, lenticular lens, fresnel lens relating to the present invention, gas containing a gas for thin film formation is introduced into a discharge space under the atmospheric pressure or the pressure close to it and the gas is activated by applying a high frequency electric field in the discharge space mentioned above. And then, anti-reflection film at least on one side of the surface of the base material is formed by exposing the base material in the aforementioned activated gas.