In this paper, a modified three-parameter Lee-Kesler-like corresponding states model is presented to calculate the vapor pressure of pure refrigerants and refrigerant mixtures by using two reference fluids (R13 and R227ea). A new scaling parameter is proposed in the model to substitute for the classical acentric factor. The modified model shows a good accuracy over a wide range of temperatures and especially in the low-temperature region when compared to other Lee-Kesler-like corresponding states models such as Lee-Kesler, Teja, and Estela-Uribe.