The study on spatial variability and pattern is hotspot of scientific research.Base on the development of fractal and geostatistics,elementary method and theory of fractal geostatistics were introduced,and then the development of fractal geostatistics and its applications in soil science were discussed.Fractal geostatistics is the improvement of traditional geostatistics in non-linear researches.it should be studied sequentially because the theory is far from perfect.