NOVELTY - The battery has a battery case (1) accommodates a negative electrode (6), and a positive electrode (5) with positive mix layer (5b) containing lithium containing transition nickel oxide and a conductive support agent such that the ratio of nickel is made equal to 88 mol% or more with respect to total molar quantity of nickel except lithium in nickel oxide, the content of agent is made to lie in range of 0.75-1.25 mass portions with respect to 100 mass portions of nickel oxide, and occupation ratio of nickel oxide occupied in battery case is set more than 25 volume portion.    USE - Non-aqueous electrolyte secondary battery of mobile information terminals such as mobile telephone, notebook personal computer, and smart phone, used as drive power supply for battery electric vehicle (BEV), plug-in hybrid electric vehicle (PHEV), and hybrid electric vehicle (HEV).    ADVANTAGE - The ratio of nickel is made equal to 88 mol% or more with respect to total molar quantity of nickel except lithium in lithium containing transition nickel oxide, the content of conductive support agent is made to lie in range of 0.75-1.25 mass portions with respect to 100 mass portions of lithium containing transition metal oxides, and the occupation ratio of lithium containing transition metal oxide occupied in battery case is set more than 25 volume portion such that the heat-resistant layer containing heat resistant material is formed in the surface of the separator opposing a positive electrode, and the deterioration of the separator by heat generation of positive electrode at the time of discharge on high temperature conditions is suppressed. Thus, the low and high temperature characteristics of non-aqueous electrolyte secondary battery are improved while maintaining the high capacity and suppressing the generation of heat in the positive electrode.    DESCRIPTION OF DRAWING(S) - The drawing shows a sectional view of the non-aqueous electrolyte secondary battery.    Battery case (1)    Positive electrode (5)    Negative electrode (6)    Separator (7)    Lower insulation ring (8b)