Off-centre loads acting on hydraulic forging presses have a major impact on their engineering properties. If the tilting moments resulting from such loads are absorbed using an appropriate and effective design, the deformation of the press frame and pressures in crosshead guides can be minimized. The present paper compares values obtained from several variants of virtual models of an open-die forging hydraulic press under off-centre load. The objective was to evaluate the effect of the design solution of crosshead guides on the behaviour of the frame.