Abstract: In a band-saw machine including a machine stand defining a substantially horizontal workpiece support region, first and second clamping jaws mounted on the stand, with the first clamping jaw being mounted to move horizontally toward the second jaw for clamping a workpiece between the jaws, a machine head mounted above the support region, and supported for vertical displacement relative to the machine stand, an endless saw band mounted in the machine head to present a cutting reach extending above and across the support region, and two saw band guides disposed to respectively opposite sides of the workpiece support region, each associated with a respective clamping jaw and each holding the saw band in position to cut a workpiece, the guide associated with the first clamping jaw is mounted on that jaw to be displaced vertically without tilting relative thereto, a connecting member is connected between the guide associated with the first jaw and the machine head for transmitting the cutting reaction forces impos