Abstract: A hydraulic shearing machine for cutting steel sheets and the like in which the lower blade is fixed between two vertical end-plates of the frame while the upper blade is carried by a movable apron. The support provided for the lower cutting blade consists of a hollow box which extends horizontally between the vertical end-plates of the shearing-machine frame and only the ends of which are attached to the frame. The lower blade is fixed against one of the side walls of the support box so as to be displaced with respect to the theoretical center of rotation of said support box about its own axis. In consequence, the vertical forces exerted on the lower blade at the time of utilization of the shearing machine tend to produce a twisting movement of the support box, thus providing compensation for the horizontal flexural displacement of the box under the action of the horizontal forces.