Abstract: The projective synchronization between two chaotic systems with different initial values is investigated based on Lyapunov stability theory in the five-term hyperbolic-type chaotic systems proposed recently. Using constants and variables as scale factor chaotic systems, two schemes of projective synchronization are established, namely generalized projective synchronization and function projective synchronization. In accordance with the deduced single driving variable projective synchronization theory, the corresponding synchronization controller is designed, and the range of control parameters is determined. The relationship between the control parameters and chaotic synchronization performances is discussed. Simulation results show the effectiveness of the methods.