A mathematical model has been developed to predict the steady state performance of a continuous bulk styrene polymerization process with catalytic initiation for crystal-clear polystyrene and impact-modified polystyrene. The present process contains one prepolymerizer and four post-polymerizers. Both acyclic and cyclic peroxyketal free radical initiators were considered. The polymer moment equations were solved simultaneously with the reactor modeling equations. The non-linear algebraic equations were solved by a Newton-Raphson iteration technique to give the steady-state value of styrene monomer weight fraction in the reactor. The coupled, non-linear ordinary differential equations were integrated by means of a single-step, fourth-order Runge-Kutta technique, followed by a multi-step Adams-Moulton technique . The resulting computer simulation model is capable of analyzing what effect feed composition, reaction temperature, initiator type, and initiator concentration have on styrene monomer conversion, polystyrene molecular weights, grafting of styrene to rubber, formation of oligomers, density, viscosity, melt flow rate, thermal properties, and tensile strength. Several case studies were given for commercially important crystal-clear grades and high-impact products. As compared with pure thermal initiation , higher reactor productivity and better grafting of styrene to rubber can be obtained with catalytic initiation. The higher molecular weights as obtained with the thermal process can be maintained with bifunctional initiation . The presence of catalytic polymerization in the post-reactors is necessary to decrease further the molecular weights of the polymer formed. The polydispersity of the final polystyrene product is highly dependent upon mean residence time and tube wall temperature in a shell-and-tube devolatilization preheater. Low molecular weight oligomers are relatively stable but occur in low concentrations. The concentration of styrene dimer and trimer can be substantially reduced with catalytic initiation.