Abstract: Reducing the grounding resistance of transmission line tower is an important measure to reduce lightning trip accidents,but there are problems,such as the traditional epitaxial grounding grid construction difficulties and high soil resistivity in mountainous areas and other complex terrain. Therefore,a fractal epitaxial grounding grid laying scheme based on fractal theory is proposed. The finite element simulation software is used to establish the fractal epitaxial grounding grid model,and the influence of angle,fractal dimension,fractal layer number and other factors on grounding resistance and shunt coefficient is studied. At the same time,the grounding characteristics of fractal epitaxial grounding grid and typical epitaxial grounding grid are compared. The results show that the medium angle,small fractal dimension and small fractal layer number are beneficial to the improvement of current dispersion and grounding resistance reduction characteristics of the fractal epitaxial grounding grid. This study can provide reference for the grounding design of transmission line towers in mountainous areas with complex terrain and high soil resistivity.