The fringe effect on the third-harmonic coefficient and critical current of the fractal diffuse-fringe Au-film system, deposited on fractal substrates, is studied. We show that both the critical current and the film resistivity as exhibit functions of the third-harmonic coefficient exponential critical behavior. However, the critical exponents in the fractal diffuse-fringe Au-film are obviously different from those of other film systems. A discussion of the universality problem is also presented.