Elements of Chemical Process Engineering were used in this research to design and simulate two continuous transesterification processes for the production of biodiesel from palm oil, using the chemical simulator, HYSYS®. This design specified the operating conditions of all the equipment required for the continuous production of biodiesel using ethanol and methanol as alcohols. The palm oil was modeled as a mixture of the triglycerides that compose it in greater proportion, estimating the chemical properties of the substances that take part in the transesterification reaction, with group contributions and group interactions theories. Finally, the quality specifications for biodiesel obtained in both simulations were analyzed to verify the fulfillment of the properties required by ASTM (American Society for Testing and Materials) and EN (European Norms) standards.