The phase behavior of the soluble polar polymers in supercritical carbon dioxide fluid has been already measured through determination of the cloud point pressure against the weight fraction of the polymer. In recent years, a few works have been carried out to investigate the solubility of some polar polymers in the supercritical carbon dioxide so that most of them have focused on the synthesis method of the polymers and measurements of their cloud point pressure. However, there is a lack of a proper thermodynamic model for prediction of the solution cloud point pressure of such systems. In this work, we model the cloud point pressure of the various types of poly(lactic acid) (PLA) with the different molar masses and end chemical groups; and various types of poly(1-O-(vinyloxy) ethy1-2,3,4,6-tetra-O-acetyl-beta-D-glucopyranoside) (P(AcGlcVE)) with the different molar masses and the same end chemical groups. The Perturbed-Chain Polar Statistical-Associating-Fluid-Theory (PCP-SAFT EoS) of Gross, J. AlChE, 51 (2005) 2556-2568, is applied here through its modification for the present polymer-CO2 systems. We account the quadrupole-quadrupole term in the PC-SAFT EoS to represent the interaction energy between carbon dioxide molecules and polymer segments. Using the cloud point pressure data of the present polymer-CO2 systems, the parameters of the PCP-SAFT EoS are obtained for these polymers. The results show the present equation of state can correlate with the experimental cloud point data accurately so that the deviation of the experimental data with the calculated results is low. (C) 2014 Elsevier B.V. All rights reserved.