The present invention relates to a device for adjusting the height of a plurality of tool carriers connected to a top panel of a bending press, each tool carrier having a tool spacer, the adjustment device comprising, for each tool carrier, an adjustment wedge interposed between the square of the top panel and the top face of the tool spacer associated with said wedge. According to the invention, the ends of each wedge include engagement mechanism to enable a wedge associated with a tool spacer firstly to overlap at least part of the top face of an adjacent tool spacer, and secondly to engage reversibly with the wedge associated with said adjacent tool spacer so that the two adjacent tool spacers touch each other, and the square of the top panel is designed to bear against the engagement mechanism.