The separation of 1,1'-bi-2 -naphthol racemic mixtures by the simulated moving bed (SMB) method with chiral columns of Pirkle D-Phenylglycine was investigated in this study. First, a steady-state true moving bed (TMB) model, considering non-linear equilibrium, lumped kinetic and axial dispersion effects, was developed for predicting the cyclic steady-state behavior of the SMB system. The "triangle theory" was used to provide guidelines for the selection of feasible operating parameters of the SMB system, including liquid flow rates, switch time, feed concentration and zone length. Then, the effect of various operating parameters on the SMB performance, characterized by product purity, recovery, solvent consumption, and productivity, and the exact good separation region were studied through simulation of the TMB model. The package is an important tool to select the optimal operating conditions for the SMB operation.