A reaction system with continuous catalyst feed has been designed for benzyl alcohol polymerization in the gas phase. The regime of the gas-solid contact is the one called "jet spouted bed" in the literature. The catalytic bed voidage must be kept between 0.80 and 0.95, and the feeding gas velocity must be 200 cm/s. A computer routine was developed to simulate the reactor, utilizing the relation between the initiation time and the partial pressure of benzyl alcohol, the kinetic equation of polymerization, and the kinetic equation of deactivation. The routine allows us to predict the conditions of the catalyst particle population enlarged with polymer for any operating variables value such as the average residence time of the catalyst and the partial pressure of benzyl alcohol in the feed. The simulation is confirmed by experimental data for polymer production. By use of the reactor simulation model, a study on optimization of the operating conditions was carried out. The optimized variables were polymer production, conversion (based on benzyl alcohol), and polymer-to-catalyst ratio.