A non-aqueous electrolyte solution, comprising: an additive for a non-aqueous electrolyte solution, comprising a compound represented by the formula: wherein A represents C m H (2m-n) Z n, m being an integer of 1 to 6, n being an integer of 0 to 12, and Z representing a substituted or unsubstituted alkyl group, a silyl group, a phosphonic acid ester group, an acyl group, a cyano group, or a nitro group; the compound having a lowest unoccupied molecular orbital energy of -3.0 to 0.4 eV, a standard enthalpy of formation of -921 to -167 kJ/mol (-220 to -40 kcal/mol), and an enthalpy change with hydrolysis reaction of -21 to 21 kJ/mol (-5 to 5 kcal/mol); and wherein R 1 represents a substituted or unsubstituted C1-C6 alkyl group, a substituted or unsubstituted phenyl group, or -R 5 X 1 in which R 5 represents a substituted or unsubstituted C1-C6 alkylene group and X 1 represents a substituted or unsubstituted phenyl group or a substituted or unsubstituted phenoxy group, R 2, R 3 and R 4 each independently represent a hydrogen atom, a substituted or unsubstituted C1-C6 alkyl group, a substituted or unsubstituted phenyl group, or -R 5 X 1 in which R 5 represents a substituted or unsubstituted C1-C6 alkylene group and X 1 represents a substituted or unsubstituted phenyl group or a substituted or unsubstituted phenoxy group, R 2 and R 3 may form a ring together and represent a substituted or unsubstituted C1-C6 alkylene group, a substituted or unsubstituted phenylene group, a carbonyl group, a sulfinyl group, or a C2-C6 divalent group containing alkylene or fluoroalkylene units joined by an ether linkage to each other, and R 1 and R 4, which form no ring, each represent -R 6 X 2 in which R 6 represents a substituted or unsubstituted C0-C6 alkylene group and X 2 represents a hydrogen atom, a halogen atom, a substituted or unsubstituted C1-C6 alkyl group, or a substituted or unsubstituted phenyl group, or a combination of R 1 and R 2 and a combination of R 3 and R 4 may form a ring together and represent a C1-C6 alkylene group or a C1-C6 alkylene group optionally having an oxygen atom, a nitrogen atom which may have a substituent, or a sulfur atom, in a carbon chain or at an end of a chain; a non-aqueous solvent; and an electrolyte. wherein A represents C m H (2m-n) Z n, m being an integer of 1 to 6, n being an integer of 0 to 12, and Z representing a substituted or unsubstituted alkyl group, a silyl group, a phosphonic acid ester group, an acyl group, a cyano group, or a nitro group; the compound having a lowest unoccupied molecular orbital energy of -3.0 to 0.4 eV, a standard enthalpy of formation of -921 to -167 kJ/mol (-220 to -40 kcal/mol), and an enthalpy change with hydrolysis reaction of -21 to 21 kJ/mol (-5 to 5 kcal/mol); and wherein R 1 represents a substituted or unsubstituted C1-C6 alkyl group, a substituted or unsubstituted phenyl group, or -R 5 X 1 in which R 5 represents a substituted or unsubstituted C1-C6 alkylene group and X 1 represents a substituted or unsubstituted phenyl group or a substituted or unsubstituted phenoxy group, R 2, R 3 and R 4 each independently represent a hydrogen atom, a substituted or unsubstituted C1-C6 alkyl group, a substituted or unsubstituted phenyl group, or -R 5 X 1 in which R 5 represents a substituted or unsubstituted C1-C6 alkylene group and X 1 represents a substituted or unsubstituted phenyl group or a substituted or unsubstituted phenoxy group, R 2 and R 3 may form a ring together and represent a substituted or unsubstituted C1-C6 alkylene group, a substituted or unsubstituted phenylene group, a carbonyl group, a sulfinyl group, or a C2-C6 divalent group containing alkylene or fluoroalkylene units joined by an ether linkage to each other, and R 1 and R 4, which form no ring, each represent -R 6 X 2 in which R 6 represents a substituted or unsubstituted C0-C6 alkylene group and X 2 represents a hydrogen atom, a halogen atom, a substituted or unsubstituted C1-C6 alkyl group, or a substituted or unsubstituted phenyl group, or a combination of R 1 and R 2 and a combination of R 3 and R 4 may form a ring together and represent a C1-C6 alkylene group or a C1-C6 alkylene group optionally having an oxygen atom, a nitrogen atom which may have a substituent, or a sulfur atom, in a carbon chain or at an end of a chain; a non-aqueous solvent; and an electrolyte.