A non-aqueous electrolyte composition including: a supporting electrolyte; an organic solvent; and at least one kind of chemical compound a selected from the group consisting of a chemical compound a1 indicated by the following general formula and a chemical compound a2 indicated by the following general formula. (In the formula, O represents oxygen. In the formula, Y and Z mutually independently represent one kind of element selected from Group 14 of a larger version of the periodic table, i.e., one kind of element selected from the group consisting of carbon, silicon (Si), germanium (Ge) and tin (Sn). In the formula, R 1 and R 2 mutually independently represent at least one kind of group selected from the group consisting of monovalent aliphatic hydrocarbon groups, monovalent alicyclic hydrocarbon groups and monovalent aromatic hydrocarbon groups, and at least either one represents a group having at least one kind of halogen selected from the group consisting of fluorine, chlorine (Cl), bromine (Br) and iodine as a constituent element.) (In the formula, O represents oxygen. In the formula, Y and Z mutually independently represent one kind of element selected from Group 14 of a larger version of the periodic table, i.e., one kind of element selected from the group consisting of carbon, silicon (Si), germanium (Ge) and tin (Sn). In the formula, R 3 represents at least one kind of group selected from the group consisting of divalent aliphatic hydrocarbon groups and divalent alicyclic hydrocarbon groups, and represents a group having at least one kind of halogen selected from the group consisting of fluorine, chlorine (Cl), bromine (Br) and iodine as a constituent element.) a supporting electrolyte; an organic solvent; and at least one kind of chemical compound a selected from the group consisting of a chemical compound a1 indicated by the following general formula and a chemical compound a2 indicated by the following general formula. (In the formula, O represents oxygen. In the formula, Y and Z mutually independently represent one kind of element selected from Group 14 of a larger version of the periodic table, i.e., one kind of element selected from the group consisting of carbon, silicon (Si), germanium (Ge) and tin (Sn). In the formula, R 1 and R 2 mutually independently represent at least one kind of group selected from the group consisting of monovalent aliphatic hydrocarbon groups, monovalent alicyclic hydrocarbon groups and monovalent aromatic hydrocarbon groups, and at least either one represents a group having at least one kind of halogen selected from the group consisting of fluorine, chlorine (Cl), bromine (Br) and iodine as a constituent element.) (In the formula, O represents oxygen. In the formula, Y and Z mutually independently represent one kind of element selected from Group 14 of a larger version of the periodic table, i.e., one kind of element selected from the group consisting of carbon, silicon (Si), germanium (Ge) and tin (Sn). In the formula, R 3 represents at least one kind of group selected from the group consisting of divalent aliphatic hydrocarbon groups and divalent alicyclic hydrocarbon groups, and represents a group having at least one kind of halogen selected from the group consisting of fluorine, chlorine (Cl), bromine (Br) and iodine as a constituent element.)