This paper presents a simulation algorithm with a rate-based model for a packed distillation column at total reflux, The proposed algorithm consists of 1) composition and temperature profile calculation, which is slightly modified from the one for steady-state continuous distillation at finite reflux, and 2) composition correction for accelerating convergence with the overall theta method based on the component material balance considering liquid hold-up within the distillation column. Simulation results are compared with the experimental results of a ternary system obtained from a 0.21 m diameter packed distillation column. Fairly good agreement is obtained, though proper evaluation of the effective interfacial area and liquid hold-up distribution is essential for better simulation.