The application of the bate-based approach to the dynamic and stationary modelling of three-phase distillation columns is presented. The main problem can be seen in finding adequate models for the mass and heat transfer over phase interfaces to be utilised in the Maxwell-Stefan equations. While for the vapour-(continuous) liquid interface, there are a number of methods and data available, the interface between continuous and dispersed liquid phases has not been studied for the case of distillation processes. A reasonable alternative approach to modelling of a three-phase distillation column can be found where the liquid-liquid interface is treated as equilibrium. The adequacy of this modification is supported by phenomena observed on distillation trays, e.g. strong agitation of liquid phases. The resulting combined non-equilibrium and equilibrium model is compared to the classical equilibrium model and also to experimental data for ethanol-water-cyclohexane separation in a number of examples.