The associating Martin-Hou equation of state (AMH EOS) has been extended to high-pressure vapor-liquid equilibria calculations of alcohol-containing systems in the critical or near-critical region. The old mixing rules used in previous studies have been revised. The high-pressure vapor-liquid equilibria of some alcohol + hydrocarbon systems can be represented satisfactorily by the AMH EOS with the old mixing rules. However, the high-pressure vapor-liquid equilibria of alcohol + carbon dioxide systems and some other alcohol + hydrocarbon systems should be correlated well by the AMH EOS with the revised mixing rules. High-pressure vapor-liquid equilibria of two ternary systems that contain two alcohols and two nonassociating ternary systems are predicted from binary data.