Aimed at the finite-time stabilization problem of a class of flexible manipulators, a finite-time state feedback stabilization controller was proposed in this paper. Firstly, the nonlinear model of flexible manipulators was transformed into linear system through the exact state feedback linearization, and then using the finite time stabilization control method of the linear system, a finite-time state feedback stabilization controller was designed for the flexible manipulators. Furthermore,it was proved that all the states of flexible manipulators could be stabilized to equilibrium in finite-time under the proposed controller. The simulation resilts show that the performance of the flexible manipulators under the proposed finite-time state feedback controller is better than the traditional state-feedback controller. The proposed finite-time stabilization controller can improve the performance of the flexible manipulators.