This paper introduces a robust non-overshooting tracking controller for descriptor systems based on an Integral Sliding Mode (ISM) technique. Non-overshooting controllers (NOS) are a class of controllers which provide good transient response while tracking without any overshoots. But, NOS controllers developed so far for the descriptor systems are not robust to disturbances. So, to provide robustness against matched disturbances, here an integral sliding mode based non-overshooting controller is proposed. Hence, good transient performance without any overshoot during tracking and robustness can be ensured at the same time. Simulation results are given towards the end, which confirms the efficacy of the proposed methodology. © 2018 European Control Association