A gold thin film percolation system, deposited on glass surfaces by the vapor deposition method, has been fabricated. By using the expansive and movable properties of silicone oil drop, a characteristic wedge - shaped film system with a slope of ～ 10-5 naturally forms during deposition. The electrical conductivity of the band-like gold film, i.e., the uniform part with a fixed thickness, is measured with the four-probe method. It is found that hopping and tunneling effects of the films are stronger than those of the other films.