An additive for nonaqueous electrolyte solutions, comprising a disulfonic acid amide compound represented by Formula wherein in Formula, A represents a C m H (2m-n) Z n, wherein m represents an integer of 1 to 6, n represents an integer of 1 to 12, 2m-n is 0 or more, and Z represents a halogen atom, R 1 represents a phenyl group optionally having a substituent, a phenylthio group optionally having a substituent, a phenoxy group optionally having a substituent, a phenylamino group optionally having a substituent, or an alkyl group having 1 to 6 carbon atoms which is substituted with a phenyl group optionally having a substituent, wherein a sulfur atom, an oxygen atom, or an amino group optionally having a substituent may intervene between two carbon atoms of the alkyl group, between one carbon atom of the alkyl group and the phenyl group optionally having a substituent, or between one carbon atom of the alkyl group and a nitrogen atom to which R 1 is bonded, R 2, R 3, and R 4 each independently represent a hydrogen atom, a phenyl group optionally having a substituent, a phenylthio group optionally having a substituent, a phenoxy group optionally having a substituent, a phenylamino group optionally having a substituent, or an alkyl group having 1 to 6 carbon atoms which may be substituted with a phenyl group optionally having a substituent, wherein a sulfur atom, an oxygen atom, or an amino group optionally having a substituent may intervene between two carbon atoms of the alkyl group, between one carbon atom of the alkyl group and the phenyl group optionally having a substituent, or between one carbon atom of the alkyl group and a nitrogen atom to which R 2, R 3, or R 4 is bonded, R 1 and R 2 may be linked to form an alkylene group having 2 to 5 carbon atoms in total which forms a cyclic structure together with a nitrogen atom to which they are bonded, wherein a sulfur atom, an oxygen atom, or an amino group optionally having a substituent may intervene between two carbon atoms of the alkylene group, or between one carbon atom of the alkylene group and the nitrogen atom to which R 1 and R 2 are bonded, R 3 and R 4 may be linked to form an alkylene group having 2 to 5 carbon atoms in total which forms a cyclic structure together with a nitrogen atom to which they are bonded, wherein a sulfur atom, an oxygen atom, or an amino group optionally having a substituent may intervene between two carbon atoms of the alkylene group, or between one carbon atom of the alkylene group and the nitrogen atom to which R 3 and R 4 are bonded. A represents a C m H (2m-n) Z n, wherein m represents an integer of 1 to 6, n represents an integer of 1 to 12, 2m-n is 0 or more, and Z represents a halogen atom, R 1 represents a phenyl group optionally having a substituent, a phenylthio group optionally having a substituent, a phenoxy group optionally having a substituent, a phenylamino group optionally having a substituent, or an alkyl group having 1 to 6 carbon atoms which is substituted with a phenyl group optionally having a substituent, wherein a sulfur atom, an oxygen atom, or an amino group optionally having a substituent may intervene between two carbon atoms of the alkyl group, between one carbon atom of the alkyl group and the phenyl group optionally having a substituent, or between one carbon atom of the alkyl group and a nitrogen atom to which R 1 is bonded, R 2, R 3, and R 4 each independently represent a hydrogen atom, a phenyl group optionally having a substituent, a phenylthio group optionally having a substituent, a phenoxy group optionally having a substituent, a phenylamino group optionally having a substituent, or an alkyl group having 1 to 6 carbon atoms which may be substituted with a phenyl group optionally having a substituent, wherein a sulfur atom, an oxygen atom, or an amino group optionally having a substituent may intervene between two carbon atoms of the alkyl group, between one carbon atom of the alkyl group and the phenyl group optionally having a substituent, or between one carbon atom of the alkyl group and a nitrogen atom to which R 2, R 3, or R 4 is bonded, R 1 and R 2 may be linked to form an alkylene group having 2 to 5 carbon atoms in total which forms a cyclic structure together with a nitrogen atom to which they are bonded, wherein a sulfur atom, an oxygen atom, or an amino group optionally having a substituent may intervene between two carbon atoms of the alkylene group, or between one carbon atom of the alkylene group and the nitrogen atom to which R 1 and R 2 are bonded, R 3 and R 4 may be linked to form an alkylene group having 2 to 5 carbon atoms in total which forms a cyclic structure together with a nitrogen atom to which they are bonded, wherein a sulfur atom, an oxygen atom, or an amino group optionally having a substituent may intervene between two carbon atoms of the alkylene group, or between one carbon atom of the alkylene group and the nitrogen atom to which R 3 and R 4 are bonded.