TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Components: The non-aqueous electrolyte solution contains 0.001-5 volume% of phosphorus-containing compound, and further contains compound chosen from cyclic carbonate compound having carbon-carbon unsaturated bond, cyclic carbonate compound having fluorine, monofluorophosphoric acid salt and difluorophosphate. The cyclic carbonate compound having carbon-carbon unsaturated bond is chosen from vinylene carbonate, 4-methyl-4-vinyl ethylene carbonate and 4,5-divinyl ethylene carbonate. The cyclic carbonate compound having fluorine is chosen from fluoroethylene carbonate, 4,5-difluoro-1,3-dioxolane-2-one and 4-fluoro-5-methyl-1,3-dioxolane-2-one. The non-aqueous electrolyte solution contains phosphorus-containing compound of formula: R12-P(=O)(-R11)-(C(-R13))m(-R14)-C(=O)-R15 (2) or R22-P(=O)(-R21)-(C(-R23))r(-R24)-C(=O)-O-R25 (3).R11-R14=1-12C monovalent substituent, hydrogen or halogen, preferably H, fluorine, alkyl, alkenyl, aryl, aralkyl, alkoxy alkyl, or Ra-O-;Ra=alkyl, alkenyl, aryl, aralkyl or alkoxy alkyl;R15=1-12C alkyl optionally substituted by halogen, 6-12C aryl optionally substituted by halogen, 2-12C alkenyl optionally substituted by halogen or 7-12C aralkyl optionally substituted by fluorine, preferably methyl, ethyl, n-propyl, i-propyl, n-butyl, i-butyl, sec-butyl, tert-butyl, pentyl, cyclopentyl, cyclohexyl, vinyl, allyl, phenyl, tolyl, xylyl, benzyl, phenethyl, trifluoromethyl, trifluoroethyl, pentafluoroethyl, 2-fluoro vinyl, 3-fluoro-2-propenyl, 2-fluorophenyl, 3-fluorophenyl, 4-fluorophenyl, 2,4-difluorophenyl, 3,5-difluorophenyl, 2-fluorobenzyl, 3-fluorobenzyl, 4-fluorobenzyl, 2,4-difluorobenzyl or 3,5-difluorobenzyl;m=0-6;R21-R24=R11, , preferably hydrogen, halogen, alkyl, alkenyl, aryl, aralkyl, alkoxyalkyl or Rb-O-;Rb=Ra;R25=1-12C alkyl optionally substituted by halogen, 6-12C aryl optionally substituted by halogen, 2-12C alkenyl optionally substituted by halogen or 7-12C aralkyl optionally substituted by halogen, preferably methyl, ethyl, n-propyl, i-propyl, n-butyl, i-butyl, sec-butyl, tert-butyl, pentyl, cyclopentyl, cyclohexyl, vinyl, allyl, phenyl, tolyl, xylyl, benzyl, phenethyl, trifluoromethyl, trifluoroethyl, pentafluoroethyl, 2-fluoro vinyl, 3-fluoro-2-propenyl, 2-fluorophenyl, 3-fluorophenyl, 4-fluorophenyl, 2,4-difluorophenyl, 3,5-difluorophenyl, 2-fluorobenzyl, 3-fluorobenzyl, 4-fluorobenzyl, 2,4-difluorobenzyl or 3,5-difluorobenzyl;andr=0-6.Preferred Composition: The content of cyclic carbonate compound having carbon-carbon unsaturated bond is 0.01-8 weight%. The content of cyclic carbonate compound having fluorine is 0.01-20 weight%. The content of phosphorus-containing compound of formula (2 or 3) is 0.001-10 weight%. Preferred Definitions:    R1-R3=1-8C alkyl, preferably methyl, ethyl, n-propyl, i-propyl, n-butyl, i-butyl, sec-butyl, tert-butyl, pentyl, cyclopentyl or cyclohexyl.