NOVELTY - An electrolytic solution comprises nonaqueous organic solvent, solute, compound(s) chosen from compound (a) and compound(s) (b) chosen from imide salt having a sulfonic acid ester group (I), and imide salt having a phosphoryl group (II). The compound (a) is chosen from bis(oxide) borate salt, difluoro(oxide) borate salt, tris(oxide) phosphate salt, difluoro(bis oxide) phosphate salt and tetrafluoro(oxide) phosphate salt.    USE - Electrolytic solution is used for nonaqueous electrolytic battery (claimed) for electric vehicle, hybrid vehicle, fuel-cell vehicle auxiliary power supply, electric power storage and power. Uses include but are not limited to personal computer, video camera, digital still camera, mobile telephone, lithium-ion battery, lithium cell and lithium-ion capacitor.    ADVANTAGE - The nonaqueous electrolytic battery using electrolytic solution has improved durability, cycling characteristics and preservability even at high temperatures of 45 degrees C or more. The membrane formed on positive electrode and negative electrode, from compound (a) has excellent lithium-ion conductivity. The deterioration of the battery is prevented, when using the electrolytic solution.    DETAILED DESCRIPTION - An electrolytic solution comprises nonaqueous organic solvent, solute, compound(s) chosen from compound (a) and compound(s) (b) chosen from imide salts having a sulfonic acid ester group of formula: M(R1OSO2NSO2OR2)n (I), and an imide salt having a phosphoryl group of formula: M(R3R4OPNPOR5R6)m (II). The compound (a) is chosen from bis(oxide) borate salt, difluoro(oxide) borate salt, tris(oxide) phosphate salt, difluoro(bis oxide) phosphate salt and tetrafluoro(oxide) phosphate salt.    R1,R2=organic group chosen from optionally branched 1-10C alkyl or alkenyl, 3-10C cycloalkyl or cycloalkenyl and 6-10C aryl, containing fluoro, oxygen or unsaturated bond;    M=alkali-metal cation, alkaline-earth metal cation or onium cation;    m,n=integer;    R3-R6=chloro, fluoro or -OR7;and    R7=linear or branched 1-10C alkyl or alkenyl, 3-10C cycloalkyl or cycloalkenyl, or 6-10C aryl.    An INDEPENDENT CLAIM is included for nonaqueous electrolytic battery, which consists of positive electrode, negative electrode and the electrolyte solution. The negative electrode comprises lithium or negative electrode material capable of occluding and releasing lithium.