A novel robust terminal sliding mode control based on fast fuzzy disturbance observer is designed for a class of chaotic systems with uncertainties. To deal with the shortcoming of slow learning of traditional fuzzy disturbance observer when the approximation errors are very small, a fast fuzzy disturbance observer is designed which improves the learning speed. It is rigorously proved that the synchronization error and approximation error converge to very small values in finite time. Finally, simulation results of the Duffing-Holmes chaotic system demonstrate the effectiveness of the presented closed-loop control scheme.