In this work we present one possible approach to discretize the Maxwell-Stefan equation for coupled multi-component mass transport in Smoothed Particle Hydrodynamics (SPH). By the knowledge of the authors this is the first time that Maxwell-Stefan diffusion is investigated in the context of SPH. We validate the proposed model using the Stefan problem to demonstrate convergence and compare it to experimental and numerical references. Good agreement was found. An application to a phase separating ternary mixture demonstrates its applicability. (C) 2016 Elsevier Ltd. All rights reserved.