Abstract: Ethylbenzene can be produced very efficiently from ethylene and benzene over catalyst in catalytic distillation column.The non-equilibrium stage model is introduced for its simulation in this paper.Thermal balance is assumed among vapor,liquid and solid phases.Some equations are simplified in the simulation,and the values of variables are limited to a certain area.It permits a wider range of the initial value for the Newton- type method.The SRK mode is used to calculate the equilibrium of the phases.The temperature and concentration profiles in the column are presented.The results of the simulation fit in well with the experimental data obtained from the laboratory scale catalytic distillation column.