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 (1) acrylic acid anhydride, and (2) 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.