A non-aqueous battery is provided in a pouchy casing comprising opposing sheets of at least three-layer laminates, each laminate comprising (1) an inner
thermoplastic resin layer, (2) a middle
metal foil layer, and (3) an outer electrically insulating material layer, wherein the pouchy casing has an elongated, hermetic adhesion area along a periphery of the pouchy casing, and the middle
metal foil layer has a
peripheral elongated region in the elongated, hermetic adhesion area of the pouchy casing, and at least a pair of terminals electrically connected to the
cathode and
anode of the battery extends through and protrudes from the terminal-withdrawal sites in the elongated, hermetic adhesion area toward the outside of the pouchy casing, and the battery has at least one of the following features: (i) the
peripheral elongated region of the middle
metal foil layer has
cut-out portions around the terminal-withdrawal sites and (ii) the surface of the
peripheral edge of the pouchy casing is provided with electric insulation at least at portions around the terminal-withdrawal sites.