FIELD: production of syndiotactic polystyrene. SUBSTANCE: method is carried out by polymerization of styrene, the process takes place in organic solvent in the presence of catalytic system which comprises titanium compound and organoaluminium compound. Alkyl alumoxane having molecular weight 400-3.000 and component of magnetic field not more 50 % in the region of signal of methyl proton of Al-CH3 bond (being determined by absorption proton NMR within (-0.1)-(-0.5) ppm of methyl proton of toluene which is used as standard) is used as mentioned above organoaluminium compound. Molar ratio of Al and Ti is 1÷104:1. EFFECT: improved efficiency. 8 cl, 6 tbl
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