In this paper, the design of robust non-overshooting (NO) controllers for output regulation is presented for a continuous linear time-invariant (LTI), multi-input multi-output (MIMO) state feedback based descriptor system. In this method of controller design for descriptor system, the integral sliding mode (ISM) technique along with generalised Moore's eigen structure assignment method and output regulation theory for descriptor system is invoked to ensure robust output regulation with NO behavior. The efficiency of the proposed controller is also demonstrated with the help of a numerical example and simulation results presented at the end. © 2019 European Control Association