A heat resistant scattering-preventing composite material is produced by applying, to a substrate, a material comprising a fluorine-containing ethylenic polymer having functional group which is prepared by copolymerizing (a) 0.05 to 30% by mole of at least one of fluorine-containing ethylenic monomers having at least one functional group selected from the group consisting of hydroxyl, carboxyl, a carboxylic salt group, a carboxylic ester group and epoxy, and (b) 70 to 99.95% by mole of at least one of fluorine-containing ethylenic monomers which do not have said functional group. The heat resistant scattering-preventing composite material is produced by applying, to the substrate, the material comprising the fluorine-containing polymer having an excellent adhesive property to the substrate without necessitating complicated steps.