Provided is a positive electrode material which can impart a lithium secondary battery with excellent low temperature output characteristics, excellent high temperature cycle characteristics and excellent durability against high voltage. A positive electrode material of a lithium secondary battery disclosed here includes a positive electrode active substance particle, a Li-free first coating at the surface of the positive electrode active substance particle, and a Li-containing second coating at the surface of the positive electrode active substance particle. The first coating contains a titanium oxide represented by TiO2 or TinO2n-1, wherein n is an integer of 3 or more. The second coating contains a composite oxide containing Li and Ti, wherein the ratio of the number of atoms of Li relative to the number of atoms of Ti is at least 0.1 and at most 3.