In　this　paper,　a　new　five-dimensional　hyperchaotic　system　by　introducing　two　additional　states　feedback　into　a　three-dimensional　smooth　chaotic　system.　With　three　nonlinearities,　this　system　has　more　than　one　positive　Lyapunov　exponents.　Based　on　the　fractional　derivative　theory,　the　fractional-order　form　of　this　new　hyperchaotic　system　has　been　investigated.　Through　predictor-corrector　algorithm,　the　system　is　proved　by　numerical　simulation　analysis.　Simulation　results　are　provided　to　illustrate　the　performance　of　the　fractional-order　hyperchaotic　attractors　well.