A hydraulic press arrangement which includes at least one top cross beam and one bottom cross beam with a press ram, displaceable by means of two cylinder-piston units supplied by at least one pressure medium source, being disposed between the top and bottom cross beams. Each cylinder-piston unit includes a cylinder arranged in the bottom cross beam and in the top cross beam with a piston being guided in each of the cylinders. Two pistons of a mutually associated cylinder-piston unit are connected by way of a piston rod to the press ram. With the arrangement of the cylinder-piston units as well as the controlling of the impingement and venting of cylinder chambers, a relaxation of forces acting on the press frame, due to a subsiding of forces acting in the press working space, is prevented.