The invention relates to a device for bending profile sections, comprising at least one bending form (36) centered on a bending axis, provided with a peripheral groove that is interrupted by a cutout, a stack of clamping jaw counterparts (42-45) each comprising a cavity for clamping the profile section and having a shape designed to fit into the cutout of each bending form (36) with the cavity extending in the continuity of the peripheral groove of said bending form, means (51-53) for the so-called vertical movement of the stack of clamping jaw counterparts (42-45) which means are designed to move said stack along an axis parallel to the bending axis, a stack of clamping jaws (55-58), comprising cavities that complement the cavities of the clamping jaw counterparts (42-45), and means (70, 72-74, 76, 80, 81) for the relative movement of the assembly made up of the bending form(s) (36), the stack of clamping jaw counterparts (42-45) and the stack of clamping jaws (55-58).