The invention provides a metal bellows with axial stiffeners. The metal bellows is a corrugated metal hose with the axial stiffeners at the wave trough position. The forming method of the corrugated metal hose comprises the steps of rolling plates to form corrugation, then curling and welding, and finally bulging on a bulging machine; flat expanding axial waves at the wave peak position so that the wave peak position has no the axial stiffeners, while the axial stiffeners at the wave trough position are reserved, so that the corrugated metal hose with the axial stiffeners at the wave trough position is obtained. The bending deformation rigidity of the corrugated metal hose is high; in case of axial elongation deformation, the deformation mainly focuses on the wave peak position, while the wave trough position is hardly deformed; and the service life of the corrugated metal hose is prolonged effectively.