a non - aqueous solvent secondary battery with a high initial charge / discharge capacity and excellent charge / discharge characteristics at high temperature , having a positive electrode containing a positive electrode active material capable of reversibly occluding and releasing lithium , a negative electrode containing a negative electrode active material capable of reversibly occluding and releasing lithium and a non - aqueous solvent electrolyte containing acrylic acid anhydride , and an aromatic compound having at least one electron donating group , wherein the electron donating group comprises at least one member selected from any of the alkyl group , alkoxy group , alkylamino group and amine , provided that each of the alkyl group , alkoxy group and alkylamino group includes a halogen substituted group and a cycloaliphatic group .