A second coat film is formed on a first coat film containing a conductive substance, the second coat film having an expansion coefficient almost the same as the expansion coefficient of the first coat film under a sintering condition. The first and second coat films are sintered at the same time. Thus, a conductive anti-reflection film with sufficiently low surface resistance, excellent water resistance and chemical resistance, and reduced reflected light can be obtained. When the conductive anti-reflection film is used, a cathode ray tube that is almost free from the AEF (Alternating Electric Field) and that displays a high quality picture for a long time can be obtained.