In this article,we consider the issues of hyper-chaotic control and hyper-chaotic synchronization for a new presented hyper-chaotic system.In the hyper-chaotic control,when the parameter is known,the two controllers are designed scientifically,one is the linear controller,the other is the velocity feedback controller,and sufficient conditions are respectively presented to stabilize the chaotic system to any appointed unstable equilibrium points. The situation before controlling and after controlling is compated,and effective and scientific control is praphically illustrated. In the hyper-chaotic synchronization,when the parameter are designed scientifically,and a sufficient condition is presented to assure globally complete synchronization.Theoretical analysis and numerical simulation show that the design is feasible.