A non-aqueous electrolyte secondary cell provided with a positive electrode, a negative electrode, and a non-aqueous electrolyte. The positive electrode has a positive electrode active material that contains composite oxide particles which include Ni, Co, Li, and at least one of Mn and Al, and in which the proportion of Ni in relation to the total number of moles of metal elements excluding Li is at least 80 mol %. In the composite oxide particles, the ratio (B/A) of the post-particle-compression-test BET specific surface area (B) with respect to the pre-particle-compression-test BET specific surface area (A) is 1.0-3.0. The non-aqueous electrolyte contains a non-aqueous solvent and a cyclic carboxylic anhydride such as diglycolic anhydride.