The present invention relates to a bending press comprising an upper table (130) and a lower table (132) placed edge-to-edge in the vertical direction, with one of the tables being movable relative to the other in the vertical direction, and with one of the tables presenting slots (134, 136) that are placed symmetrically relative to the midplane (P′P). Each slot has an open outside end and comprises a first slot portion (135a, 137a) and a second slot portion (135b, 137b) that is situated on the inside relative to the first slot portion and that is connected thereto, the shapes of said slot portions being such that the stiffness of the table portion situated between the slot and the tool fastener is greater between the first slot portion and the tool fastener than between the second slot portion and the tool fastener. At least one element (180) for adjusting the flexing of said table is disposed in the first slot portion.