Ultra-lightweight metallic lattice structures are lightweight functional materials, and the design of their cell elements is a focus of research. Based on the idea of hollow sphere and lattice structure, this paper designs a kind of spherical cytosolic lattice structure, investigates its mechanical properties when compressed by numerical simulation, analyzes its deformation law, derives the nominal stress-strain curve, and investigates the effects of the rod diameter and the cytosolic sphere center distance on the structure’s properties of the effective modulus of elasticity, yield limit, plateau stress, energy absorption and specific energy absorption. The results of the study show that the compressive deformation of the structure exhibits three types depending on the spherical center distance. The mechanical properties of the structure, such as effective modulus of elasticity, yield limit, and plateau stress, show a pattern of decreasing and then increasing with the increase of the spherical center distance, and the minimum value is reached when the spherical center distance is 9.0, but the specific energy absorption of the structure shows a pattern of increasing and then decreasing, and it reaches the maximum value when the spherical center distance is 9.6 mm. The validity of the numerical analog simulation analysis was experimentally verified by 3D printing specimens.