The invention relates to a bridge (B) for laser cutting machines. In the latter, a laser cutting head (K) is guided over a workpiece support (W) by means of a guide system. The bridge (B) is configured in the form of a substantially straight and box-like profile (1) which has at least one guide for a cutting carriage carrying the laser cutting head (K). According to the invention, at least two side faces (10, 11) of the profile (1) that are located opposite one another with regard to the vertical plane of symmetry (VSE) of the bridge enclose a non-zero angle (a) of less than 180° that opens in the direction of the machining region, at least over a part of the height of said profile (1).