A control system of a servo press and a control method are provided for preventing an overload on a pressure capability of a press and a torque capability of a drive system. A control device of a servo press for pressing by transferring a drive force of a servomotor to a slide via a drive mechanism includes: a motion calculation unit for calculating slide target position data; a torque calculation unit for calculating process torque for pressing and control torque for speed change of the servo motor on the basis of slide target position data; a process system limit unit for limiting the calculated process torque to predetermined process limitation torque; and a drive system limit unit for limiting combined torque of the limited process torque and the control torque to predetermined drive limitation torque. The servo motor is driven on the basis of a command of drive limitation torque.