Here, we propose the construction of a sliding mode controller (SMC) for the fractional order descriptor (FOD) systems. This controller design mainly aims to stabilize the FOD system even in presence of matched disturbances by rejecting the disturbance. The controller is designed using an integral sliding mode (ISM) technique. Here, the control law is framed in such a way that it is at least continuous, by which it helps in eliminating the harmful chattering effects of the actuator and also meets the admissibility requirement related to control for the FOD systems. © 2019 EUCA.