Abstract: In this paper, the fast terminal sliding mode control for a class of singular systems is studied. The singular systems are transformed into restricted equivalent forms by a nonsingular linear transformation. By the method of Lyapunov function, a novel exponential fast terminal sliding mode control strategy is proposed. A special exponential terminal sliding mode hypersurface is given and a controller is designed correspondingly, such that the asymptotic stability of the closed-loop system is guaranteed, the motion of sliding mode is realized, and the system state variables can converge to the equilibrium point with a fast convergence rat in finite time. Finally, a numerical example is presented to illustrate the feasibility and effectiveness of the design.