This positive electrode active substance for a nonaqueous electrolyte secondary cell can improve output characteristics while maintaining capacity characteristics and cycle characteristics. The positive electrode active substance for a nonaqueous electrolyte secondary cell is formed from a lithium transition metal-containing composite oxide configured from secondary particles formed by aggregatingmultiple primary particles. The secondary particles are provided with an outer shell formed by aggregation of primary particles, a center configured from the internal space inside of the outer shell,and at least one through-hole formed in the outer shell and allowing communication between the center and the outside. The ratio of the inner diameter of the through-hole to the thickness of the outer shell is greater than or equal to 0.3.