The object of the present invention is to provide a die-cushion apparatus of a press machine capable of performing a preliminary acceleration imparted to a die-cushion pad following the lowering of a slide with an exact timing and high precision and being improved so as to eliminate a pressure deviation between an actual pressure in a hydraulic cylinder and a preliminarily set aimed value at a portion near a lower dead point of the slide stroke. The die-cushion apparatus is provided with a pneumatic cylinder (6), a servo valve (40) for discharge pressure control and a hydraulic cylinder (7) to which a pressurized oil is made up by suction and constructed such that the make-up of the pressurized oil to the hydraulic cylinder (7) at the preliminary acceleration is performed by a pressurized oil makeup circuit (16) provided with a servo valve (22) controlled by a control unit body (14), and a control signal from a pressure control body (27) controlling the discharge pressure control servo valve (40) is corrected in response to the slide lowering speed and the press operation speed.