A fluid powered compression molding press or the like in which members such as platen members are movable relatively toward one another to develop high pressures therebetween, such as for instance forming a workpiece or work material in a compression die, and including means for compensating for tilting movement of the movable member relative to the other member by creating a force moment acting on the movable member in a direction opposite to the direction of tilting movement. The compensating means includes leveling units adapted for engaging coaction with the movable member and coupled into a closed fluid system including slave units and a control unit operatively connected together, whereby the control unit operates to generate reaction pressure in the respective leveling unit via the respective of said slave units.