Disclosed are a method and an apparatus for controlling a damper clutch to prevent engine stall, and more particularly, to a method and an apparatus for controlling a damper clutch to prevent engine stall which can decide and correct when there is any error in control of a damper clutch in order to prevent engine stall. The method and the apparatus for controlling the damper clutch can decide and correct that a control unit of a damper clutch controller shows a wrong duty command value or a wrong current command value, thereby preventing engine stall, restraining decrease of acceleration power and blocking generation of noise or vibration.