The present invention is concerned with improvements to that type of spindle press which has a spindle mounted in the press frame in an axial thrust bearing, a fly-wheel continuously rotating in one direction and an hydraulically actuated coupling arranged between the fly-wheel and the spindle which coupling during the operational stroke produces a connection between the fly-wheel and the spindle. To reduce or eliminate the risk of overloading in the late operation of the coupling at the end of the press stroke and thereby damage to the press or excessive wear on the coupling parts the spindle press in accordance with the invention is provided with a hydrostatic support device to absorb the axial forces this support device having a pressure chamber in pressurefluid communication with a pressure chamber of an hydraulically actuating device for the coupling, the pressure chambers being connected to a common outflow valve which opens when a predetermined pressure is reached in the pressure-fluid system.