Abstract: The invention concerns a percussion sawing machine to saw stone blocks-particularly granite-into slabs, of the type comprising a stiff support framework, a blade frame (6) performing an alternate movement inside said framework along a substantially horizontal and at least partly rectilinear trajectory, means (20-25, 30-35) to suspend the blade frame (6) to said framework, and means (3, 9) to control the vertical translation of said suspension means. According to the invention, along said rectilinear part of the trajectory, one or more rapid jumping movements of small amplitude are imparted on the blade frame (6) in a vertical direction, so as to determine corresponding blade percussions onto the bottom of the respective channels cut into the stone block.