NOVELTY - A star silsesquioxane polyethylene glycol monomethyl ether acrylate block copolymer gel polymer electrolyte comprises (g) polymeric matrix (0.20-0.35) and lithium salt solution (0.65-0.8). The monomer needed by polymeric matrix comprises (g) methyl acrylate (10-20) and polyethylene glycol monomethyl ether methyl acrylate (10-20). The needed ligand is pentamethyldiethylenetriamine (0.06-0.30 ml). The imitator is octaphenyl silsesquioxane (0.01-0.02 g). The catalyst is cuprous halide copper chloride or copper bromide (0.01-0.05 g).    USE - Block copolymer gel polymer electrolyte for forming lithium ion battery.    ADVANTAGE - The electrolyte can satisfy the requirement of the lithium ion battery electrolyte for ionic conductivity.    DETAILED DESCRIPTION - A star silsesquioxane polyethylene glycol monomethyl ether acrylate block copolymer gel polymer electrolyte comprises (g) polymeric matrix (0.20-0.35) and lithium salt solution (0.65-0.8). The monomer needed by polymeric matrix comprises (g) methyl acrylate (10-20) and polyethylene glycol monomethyl ether methyl acrylate (10-20). The needed ligand is pentamethyldiethylenetriamine (0.06-0.30 ml). The imitator is octaphenyl silsesquioxane (0.01-0.02 g). The catalyst is cuprous halide copper chloride (CuCl) or copper bromide (CuBr) (0.01-0.05 g). The mol ratio of pentamethyldiethylenetriamine to cuprous halide CuCl to octaphenyl silsesquioxane is 1:1:3-1:3:9. An INDEPENDENT CLAIM is included for preparation of star silsesquioxane polyethylene glycol monomethyl ether acrylate block copolymer gel polymer electrolyte comprising:    (A) synthesizing polymeric matrix: stirring the octaphenyl silsesquioxane, octaphenyl silsesquioxane, catalyst cuprous halide CuCl or CuBr, methyl acrylate monomer with methylbenzene (10-30 ml) under the protection of nitrogen; reacting for 24 hours at 110-120 degrees C; using tetrahydrofuran to dissolve the obtained product to obtain the polymer solution; leading the polymer solution through the neutral alumina column to remove the catalyst; concentrating; adding large methanol to precipitate the product; drying at 40 degrees C in a vacuum oven to constant weight to obtain the white solid polymeric matrix;    (B) dissolving the lithium salt in the carbonic ester to prepare the lithium salt organic solution with a concentration of 1 mol/kg; and    (C) dissolving the prepared polymeric matrix in the tetrahydrofuran to prepare the solution; adding the lithium salt solution; using solution casting method to prepare the film after stirring at room temperature; after the tetrahydrofuran is volatilized, obtaining the gel polymer electrolyte, using the silsesquioxane as the core, star polymethyl acrylate methyl ester copolymer polyethylene glycol monomethyl ether acrylate as arm.