The principles and methods of fractal geometry are applied to the study of fractal characteristics of two-dimensional fault systems in central Hunan. The authors find that these fault systems not only possess statistical self-similar characteristics in the scale extent studied (r=0. 1~4 cm, about 2-80 km) but also have different D values of fractal dimension in different subranges of the same area. The distribution of D values of fractal dimension in sub-ranges shows that the D value in the southeast sub-range is slightly higher than that in the northwest subrange. Comparison of the distribution characteristics of D values with those of antimony deposits in central Hunan reveals that the more and larger the antimony deposits are the higher the D value will be, given the same spacial location.