A non-aqueous electrolyte solution containing a lithium salt, a non-aqueous solvent, a cyclic carbonate compound having an unsaturated bond and a compound of the following formula (Ic): CFnH(3-n)CH2X3  (Ic) where n represents an integer of 1-3 and X3 represents a group selected from the group consisting of formulas (Ic-1), (Ic-2) and (Ic-4): —O—R31  (Ic-1) —O—Y3—O—R32  (Ic-2) and wherein R31, R32 and R34 represent, independently of each other, an alkyl group having 1-20 carbon atoms that may be substituted by a halogen atom, and Y3 represents a divalent hydrocarbon group having 1-10 carbon atoms that may be substituted by a halogen atom.