Based on the finite time control Lyapunov function the synchronization control between unified chaotic system and chaotic Liu system with uncertain parameters and different structures is investigated. The feedback control law does not require to know the specific value of parameter, but only depends on the variation range of the parameter. Compared with existing control method, it can effectively overcome the effect of mismatched parameters, moreover, the feedback is relatively simple and robust. Simulation results verify the effectiveness of the proposed control method.