A lithium secondary battery which comprises: a negative electrode
comprising as an active material a carbonaceous material capable of
electrochemically holding/releasing lithium; a positive electrode
comprising as an active material a lithium chalcogenide; and polymer
electrolyte layers united respectively with the negative electrode and
the positive electrode. The polymer electrolyte layers comprise an
ionically conductive polymer matrix holding a nonaqueous electrolytic
solution. They are obtained by crosslinking and polymerizing a liquid
mixture of a monomeric precursor for the ionically conductive polymer and
the nonaqueous electrolytic solution respectively on the negative
electrode and the positive electrode using different polymerization
initiators.