A subject for the invention is to provide a positive-electrode material, which has high capacity and high output and is inhibited from suffering a decrease in output with repetitions of charge and use. The invention provides a positive-electrode material for lithium secondary battery, which comprises a secondary particle of a lithium/transition metal composite oxide containing boron and/or bismuth, and wherein the atomic ratio of the sum of boron and bismuth to the sum of the metallic elements other than lithium, boron, and bismuth in a surface part of the secondary particle is from 5 times to 70 times the atomic ratio in the whole secondary particle.