TECHNOLOGY FOCUS - INORGANIC CHEMISTRY - Preferred Inorganic Substance: The acidic inorganic substance is alumina or silica. The acidic inorganic substance contains 99.5% or more of alumina to total weight of inorganic substance. The acidic inorganic substance has primary mean particle diameter of 5-50 nm. The metallic salt of Ia group is a lithium salt, preferably lithium hexafluorophosphate. The solid polymer electrolyte contains 0.001-20 wt.% of acidic inorganic substance.Preferred Battery: The secondary battery has positive electrode which contains complex oxide of lithium and transition metal as a positive electrode active material and a negative plate containing a material which can dope and dedope metal lithium, lithium ion or lithium containing alloy as negative plate active material. The negative plate active material is chosen from titanium oxide, silicon, carbon material, or tin oxide.    TECHNOLOGY FOCUS - POLYMERS - Preferred Compound: The high molecular compound is a ester compound formed by reacting portion or whole of hydroxyl group in polyol chosen from polyether polyol, polyester polyol, polycarbonate polyol, or polyestercarbonate polyol, and (meth)acrylic acid. The polyol compound has weight average molecular weight of 200-10,000. The high molecular compound is gelled material holding the non-aqueous solvent. EXAMPLE - 53.8 g of polyester diol with hydroxyl value of 208 mgKOH/g, and 14.4 g of acrylic acid were polymerized in presence of 1.08 g of p-toluene sulfonic acid monohydrate, 0.11 g of 4-methoxy phenol and 100 ml of toluene, and polyester acrylate with yield of 61.5 g was obtained. Ethylene carbonate and diethyl carbonate were mixed at a weight ratio of 58:42 and mixed non-aqueous solvent was obtained. Lithium hexafluorophosphate as an electrolyte was dissolved in non-aqueous solvent and a non-aqueous electrolyte with electrolyte concentration of 1 mol/l, was obtained. 1 weight% of alumina with primary particle grain size o 21 nm as an acidic inorganic substance was added to the non-aqueous electrolyte. The polyester acrylate and non-aqueous electrolyte were mixed at a weight ratio of 1:10, and 2000 ppm of azobisisobutyronitrile as initiator was added to the resulting mixture, and electrolyte containing initiator was prepared. A polypropylene film with diameter of 16 mm impregnated with monomer electrolyte as separator was arranged between disc-shaped negative plate and positive electrode, and the resulting electrode film was accommodated in a battery can. The polyelectrolyte secondary battery was obtained and had excellent battery properties, such as charging and discharging characteristics, storage stability and reliability.