FIELD: chemistry of organic polymers, chemical technology. SUBSTANCE: invention describes method of multistage polymerization of one or more olefins of the general formula CH2=CHR where R means hydrogen atom, alkyl, cycloalkyl, aryl containing from 1 to 10 carbon atoms. Method involves the first stage of polymerization where one or more of indicated olefins are polymerized in a single or more reactors in the presence of catalyst and the second stage of polymerization where one or more of indicated olefins are polymerized in a single or more reactors in the presence of catalyst and product synthesized in the first stage of polymerization. At the first stage of polymerization product of reaction between alkylaluminium compound and solid component including titanium compound no containing bonds Ti-π and magnesium halide in active form are used as a catalyst. As a result of polymerization polymer is obtained and its porosity value expressed as a percent ratio of empty spaces exceeds 5%. Prepared product is contacted with other catalyst that is transient metal M taken among the group including titanium, zirconium or hafnium and containing at least one bond Ti-π, not less, and, optionally, with alkyl-aluminium compound and then the second stage of polymerization is carried out. Invention describes also method of multistage synthesis of heterophaseous copolymers of propylene. EFFECT: enhanced elasticity of polymers synthesized. 15 cl, 2 dwg
