Recently, maximum entropy production principle (MEPP) has been widely applied to physical, chemical and biological problems. MEPP, which is considered a universal law for the evolution of non-equilibrium dissipative systems, means that the isolated non-equilibrium system will tends to the state with maximum entropy along the shortest possible path. Rapid solidification, a typical non-equilibrium process, has been adopted in industrial processes while the theoretical studies of solidification still focus on the near-equilibrium solidification. Thus, the application of MEPP can motivate the development of non-equilibrium solidification theory, thus promote its application to industrial processes. This paper summaries recent application of MEPP to non-equilibrium solidification, including interface kinetics and multi-phase-field model for binary alloys, interface kinetics, morphological stability and dendrite growth for multi-component alloys.