To provide a non-aqueous secondary battery equipped with a high discharge operation voltage, large discharge capacity, good charge/discharge cyclic characteristic, and good high-current charge/discharge characteristics by forming a negative electrode material from an amorphous oxide containing alumina and/or from chalcogenide.

A non-aqueous secondary battery is composed concerned is composed of a positive electrode and negative electrode containing a material capable of accluding and releasing lithium reversibly, a non-aqueous electrolyte containing lithium salt, and a separator, wherein the negative electrode material consists of a metal or semi-metallic oxide and/or chalcogenide, and a crude material containing γ-alumina is subjected to a baking process at a temp. of 500-1500°C so as to prepare an amorpous compound.