The Hertzian fracture has always been an important research field in engineering and material fields, but its application in geology is still rare, far from being as familiar as the Riedel fracture. However, the Hertz fracture is indeed widely developed in nature, ranging from micro scale to outcrop scale, from plate scale to planetary scale. The Hertzian fracture is distinguished from the Riedel shear fracture as a point contact fracture. They are both unique and commonly developed fractures in nature, representing different boundaries and stress conditions. The typical Hertzian fracture belongs to the category of elastic deformation. Because of the point contact, it forms a characteristic cone cracks in three- dimensional space, and turns into radial and ring fractures/cracks on the plane. The angle between the cone crack and the point action surface is closely related to the Poisson’s ratio of the acted materials. On the profile, the cone crack generally has a certain angle of inflection, and the angle between the lower crack and the sample plane becomes larger, which is a typical feature of the cone crack. The Hertz fracture has many uses in the field of geology, such as measuring the toughness of materials, explaining circular and radial structures, explaining the origin and shape of cone and arc fractures/cracks, judging the kinematic characteristics of glaciers and faults, distinguishing crescentic structures formed by different fracture mechanisms, etc. It can help restore the sedimentary environments and judge the ancient stress field during the diagenesis or tectonic deformation. In the process of plate collision, the Hertz fracture can also be formed under specific circumstances. This type of fracture will help us understand the origin and development of some faults and the deformation of continents, and provide the interpretation of the deformation on the surface of terrestrial planets (satellites).