The object of setting out a method, with which substantially crack and/or fold-free greatly curved hollow profiles can be produced, is achieved by a method for producing a hollow profile having a curved portion which has a center of curvature, wherein a blank is preshaped to form a U-shaped profile by introducing a punch into a first die and the U-shaped profile is shaped with a second die to form an O-shaped profile having at least one longitudinal slot, the blank being preshaped to form a U-shaped profile whose outer limb which faces away from the center of curvature and which is associated with the curved portion is at least partially higher than the inner limb thereof which faces the center of curvature and which is associated with the curved portion.