A positive electrode material for lithium secondary battery having high electron conductivity even at very low temperatures and a lithium secondary battery with the use of the positive electrode material are provided. The positive electrode material for lithium secondary battery has secondary particles formed of primary particles made of lithium complex oxides composited with ultrathin carbon fibers having lengths equal to or smaller than the diameters of the secondary particles of the positive electrode active material. The ultrathin carbon fibers have opposite ends from which an electrolytic solution moves in and out.