Hybrid amphiphilic star copolymer nano micelles are prepared in the invention. Cage shaped octa(γ-aminopropyl) silsesquioxanes is selected as the inorganic part, and L-glutamic benzyl ester—five membered ring anhydride is ring-opening polymerized by the initiation of amino groups on the surface of cage shaped octa(γ-aminopropyl) silsesquioxanes, producing copolymers with cage shaped octa(γ-aminopropyl) silsesquioxanes as nucleus and poly (L-glutamic-benzyl ester) as arms. The copolymers reacts with monomethoxy poly (ethylene glycol) carboxylic acid by condensation. Finally, the benzyl groups in the side chains of poly (L-glutamic acid-benzyl ester) are converted into hydrazine groups by acylhydrazination to obtain hybrid amphiphilic star copolymer nano micelles. The micelles can load doxorubicin, they are safe to human body and have good application prospects.