Tectonic fractures can effectively improve the seepage capacity of rock mass and are the main channels for underground fluid migration. The rupture of Xujiahe Formation rock mass in the central YB area has good self-similarity and fractal characteristics under the tectonic stress field. Taking the fractal characteristics of the fault and core fracture as a bridge, the quantitative relationship between them is established, and the quantitative prediction of a fracture development zone in the second member of the Xujiahe Formation is carried out. The results show that the faults and fractures in the second member of the Xujiahe Formation have a good similarity in the formation stage, combination morphology, and extension direction, which is the basis of fracture prediction by the fractal method. Fault and fracture distribution has obvious fractal characteristics; the fractal dimensions are between 0.6547–1.503 and 1.0733–1.7276, respectively; and the correlation coefficient is generally greater than 0.9. The areas with big fractal dimensions are the wells YL29-YL30-YB5-YL5-YB9 in the middle area, YL32-YL4 in the southeast, and RL1 in the east, and the more developed the faults are, the more developed the fractures are. The prediction of fracture zones based on the fractal theory provides a new idea for fracture research.