NOVELTY - A non-aqueous-electrolyte secondary battery comprises positive electrode with positive electrode active material, negative electrode with negative electrode active material, and non-aqueous electrolyte, all accommodated in battery case. Sulfur-containing film is formed on surface of positive electrode active material at 3-8 mu mol of unit surface area (1 m2) contact of positive electrode active material. Boron- and/or phosphorus-containing film is formed on surface of negative electrode active material at 2-10 mu mol of unit surface area (1 m2) contact of negative electrode active material.    USE - A non-aqueous-electrolyte secondary battery for plug-in hybrid motor vehicle (PHV), hybrid vehicle (HV), electric vehicle (EV), electric truck, bicycle with motor, electric-power-assisted bicycle, electric wheelchair, and electric railway.    ADVANTAGE - Generation of gas under severe condition becomes difficult, and battery has durability and input-output characteristics which are compatible on a high level, resulting in high battery performance.    DETAILED DESCRIPTION - An INDEPENDENT CLAIM is included for manufacture of non-aqueous-electrolyte secondary battery which involves accommodating positive electrode which has a positive electrode active material, negative electrode which has negative electrode active material, and non-aqueous electrolyte in a battery case to assemble a battery in which non-aqueous electrolyte contains sulfonic acid compound containing sulfur atom and oxalate complex compound containing boron atom and/or phosphorus atom, performing 1st charge treatment process which carries out charge process so that voltage between positive electrode and negative electrode is 0.8-1.3 V, and performing 2nd charge treatment process which carries out charge process so that voltage between positive electrode and negative electrode is 2-5 V.    DESCRIPTION OF DRAWING(S) - The drawings show schematic diagrams of the manufacturing method of the battery demonstrating the reaction of the positive-negative electrode in 1st charge treatment process and the reaction of positive-negative electrode in 2nd charge treatment process. (Drawing includes non-English language text).