The invention discloses a preparation method of a star polymer, belonging to the technical field of petroleum extraction. The method adopts a redox initiation system, and carries out water solution radical copolymerization on three water-soluble monomers, including tert-butyl acrylate, 2-acrylamido-2-methylpropane sulfonic acid and acrylamide. The redox initiation system comprises trihydroxymethyl phenol, persulfate, hydrogen peroxide, urea, sodium formaldehyde bisulfite, azoisobutyronitrile, chain transfer agent and surfactant. The molecular weight of the star polymer prepared by the method is 8-15 million; the star polymer is water-soluble; the content of the residual monomers in the product is less than or equal to 0.1 wt%; and the star polymer and a crosslinking system, which is composed of water-soluble phenolic resin and polyethylene imine, can form a movable gel system for carrying out deep profile control on a high-temperature high-salt oil reservoir of which the salinity is 117000 mg / L and the temperature is 140 DEG C.