The results of studying kinetic regularities in the process of obtaining polyisoprene in the presence of neodymium-containing catalytic systems for various technological modes of industrial production are presented. The process kinetic scheme is provided under conditions of the used catalyst monocenter, according to which a mathematical model of the process of isoprene polymerization for the process periodic and continuous modes is compiled. Kinetic approach to solving problems of chemical kinetics in combination with the method of moments was applied in the process mathematical description. To evaluate hydrodynamic influence exerted by the process implementation in a reactor cascade, the constructed kinetic model was supplemented with a macro-kinetic module that takes into account the relevant patterns. Features of the starting and static modes calculation in continuous production were determined. Numerical calculation methods were introduced to obtain dependences of alterations in the molecular parameters of the resulting product for a different number of reactors used in the continuous production system under static conditions. The hydrodynamic mode influence was shown in the reaction zone on the molecular weight distribution of the resulting product. As a result of computational experiments aimed at increasing the length of the reactor cascade, increase in the average molecular weights and approximation of the obtained values to the those characterizing the process periodic mode were noted