NOVELTY - A non-aqueous secondary battery comprises electrode mainframe comprising positive electrode, negative electrode, separator and electrolyte comprising lithium salt dissolved in non-aqueous solvent. The electrode mainframe is laminated electrode mainframe or wound electrode mainframe. The positive electrode comprises positive mix layer comprising lithium-containing complex oxide (I) as positive electrode active material. The electrolyte is in gel form and comprises ethylene carbonate and ethylmethyl carbonate as nonaqueous solvent, and 6 %mass or less gelatinizer.    USE - Non-aqueous secondary battery e.g. lithium-ion secondary battery used for mobile telephone and notebook-type personal computer.    ADVANTAGE - The non-aqueous secondary battery has excellent quick-charge characteristic and storage stability, and high density.    DETAILED DESCRIPTION - A non-aqueous secondary battery comprises electrode mainframe comprising positive electrode, negative electrode, separator and electrolyte comprising lithium salt dissolved in non-aqueous solvent. The electrode mainframe is laminated electrode mainframe or wound electrode mainframe. The laminated electrode mainframe comprises positive electrode and negative electrode that are laminated and have the separator interposed between the positive electrode and negative electrode. The wound electrode mainframe comprises positive electrode current collector tabs and negative electrode current collector tabs. The positive electrode comprises positive mix layer comprising lithium-containing complex oxide of formula: Li1+yM1O2 (I), where y is -0.15 to 0.15, M1 is chosen from Ni, Co and Mn, as positive electrode active material. The electrolyte is in gel form, and comprises ethylene carbonate and ethylmethyl carbonate as nonaqueous solvent, and 6 %mass or less gelatinizer. The content of nickel, cobalt and manganese in the positive electrode active material is 25-90 mol%, 5-35 mol% and 5-35 mol%, respectively. The total content of cobalt and manganese is 10-70 mol%.