Two different methods-active control method and adaptive method were presented to study the full state hybrid projective synchronization between hyperchaotic Rssler system and hyperchaotic Lorenz system with different structures.Three kinds of different controllers were designed for synchronizing drive system and response system.When the parameters are all known in advance,active control method is utilized,without constructing Lyapunov function,which can realize the synchronization easily.When the parameters are partly or fully unknown,suitable controllers and adaptive laws of parameters are given based on Lyapunov stability theory,which make the different systems achieve synchronization quickly.Numerical simulations show the effectiveness and feasibility of these methods.