This paper proposes a new chaotic system and its fractional-order chaotic system.The necessary condition for the existence of chaotic attractors in this new fractional-order system is obtained.It finds that this new fractional-order system is chaotic for q>0.783 if the system parameter m=6.The chaotic attractors for q=0.8,and q=0.9 are obtained.A circuit is designed to realize its fractional-order chaos system for q=0.9 by electronic workbench.