A non-aqueous electrolyte solution for a battery, comprising a positive electrode, an electrolyte and a negative electrode comprising negative electrode current collector containing a copper element, said electrolyte solution comprising a copper compound and an additive (X) that is at least one compound selected from the group consisting of lithium monofluorophosphate, lithium difluorophosphate, a compound represented by the following Formula (XA), a sulfonate ester compound represented by the following Formula (A), a sulfonate ester compound represented by the following Formula (B), a sulfonate ester compound represented by the following Formula (C), and a sulfonate ester compound represented by the following Formula (D), wherein the non-aqueous electrolyte solution is to be incorporated into a battery as the electrolyte, wherein a content of a copper element with respect to a total amount of the non-aqueous electrolyte solution is from 0.001 ppm by mass to less than 5 ppm by mass, and wherein in a case in which the non-aqueous electrolyte solution is incorporated into a battery,_a content of a copper element with respect to a total amount of the non-aqueous electrolyte solution for a battery is from 0.001 ppm by mass to less than 5 ppm by mass: wherein, in Formula (XA), M represents a boron atom or a phosphorus atom, X represents a halogen atom, R represents an alkylene group having from 1 to 10 carbon atoms, a halogenated alkylene group having from 1 to 10 carbon atoms, an arylene group having from 6 to 20 carbon atoms, or a halogenated arylene group having from 6 to 20 carbon atoms, wherein such groups may each comprise a substituent or a hetero atom in a structure thereof, m represents an integer from 1 to 3, n represents an integer from 0 to 4, and q represents 0 or 1; wherein, in Formula (A), R A1 and R A2 each independently represent a straight or branched aliphatic hydrocarbon group having from 1 to 12 carbon atoms, an aryl group having from 6 to 12 carbon atoms, or a heterocyclic group having from 6 to 12 carbon atoms, wherein such groups may each be substituted with a halogen atom, and the aliphatic hydrocarbon group may be substituted with at least one of an alkoxy group, an alkenyloxy group or an alkynyloxy group; wherein, in Formula (B), R B1 to R B6 each independently represent a hydrogen atom, a halogen atom, or an alkyl group having from 1 to 6 carbon atoms that may be substituted with a halogen atom, and n represents an integer from 0 to 3; wherein, in Formula (C), R C1 to R C4 each independently represent a hydrogen atom, a halogen atom, or an alkyl group having from 1 to 6 carbon atoms that may be substituted with a halogen atom, and n represents an integer from 0 to 3; wherein, in Formula (D), R D1 represents an aliphatic hydrocarbon group having from 1 to 10 carbon atoms, or a halogenated alkylene group having from 1 to 3 carbon atoms, R D2 and R D3 each independently represent an alkyl group having from 1 to 6 carbon atoms, or an aryl group, or R D2 and R D3 taken together represent an alkyl ene group having from 1 to 10 carbon atoms, or a 1,2-phenylene group that may be substituted with a halogen atom, an alkyl group having from 1 to 12 carbon atoms, or a cyano group. <EOS>