Twin-wire presses for dewatering fiber suspensions are disclosed including upper and lower rolls and endless upper and lower wires running around the rolls, a pair of dewatering tables supporting the upper and lower wires and forming a dewatering space between them for initial pressing and dewatering of the fiber suspension, to form a fiber web between the wires, a roll engagement downstream of the watering tables, a final dewatering in a press frame, a press and lift arrangement for vertically adjusting the first dewatering table and a link system joined to the press frame and to an upper section of the first dewatering table which is movable from and against the second dewatering table by means of the press and lift arrangement thereby.