A ternary precursor with a spherical pyramid-like structure, a positive electrode material, and a preparation method thereof, wherein the cone of the ternary precursor is long strip-shaped primary particles that grow radially, and the top of the sphere is an orderly stacked block-shaped primary particle , and form secondary aggregates; the chemical formula of the ternary precursor is Ni x co y mn (1‑x‑y) (OH) 2 , wherein, 0.3<x<0.9, 0.05<y<0.50, 0.05<1-x-y<0.50. The invention also discloses a preparation method of the ternary precursor with a radial spherical cone-like structure, an anode material and a preparation method. The ternary precursor and the positive electrode material of the present invention have regular morphology and uniform distribution, which is beneficial to the transportation of lithium ions during charge and discharge, and has stable discharge specific capacity, charge and discharge performance and Coulombic efficiency, and good cycle performance. The method of the invention has the advantages of simple process, low reaction temperature and low cost of raw materials, and is suitable for industrialized production.