The Carnahan-Starling-Patel-Teja (CSPT) equation of state was revisited to improve the fitting accuracy of vapour-liquid equilibrium data of pure fluid substances. By setting the pseudo-critical compressibility factor and the correction coefficient in the attractive parameter as the temperature-dependent variables, the fitting accuracies of the vapour pressures and the saturated liquid-phase densities from the new CSPT increased significantly compared with the Patel-Teja equation of state (PT) and the Peng-Robinson equation of state (PR) and the original CSPIT model. The new CSPT combined with temperature-dependent functions was applied to the vapour-liquid equilibrium data available for 45 pure substances. The results indicate that the new CSPT model can accurately reproduce the experimental vapour-liquid equilibria in the whole temperature and pressure range. The successful calculations of the PVT in the critical region suggest the new CSPT has wide applicability. The new CSPT model is also superior to PR and the original CSPT for calculating the phase behaviour of binary mixtures. (C) 2009 Elsevier B.V. All rights reserved.