Provided is a component bonding method with higher bonding precision in a process of bonding an electrode of a component to an electrode formed on a flat panel. A preliminary press bonding device includes: a control unit which includes a position displacement amount correction unit to which a position displacement amount after the press bonding process is fed back and which corrects the position displacement on the next component to be preliminarily bonded; and a component position determining unit which determines a position of the component using the fed back correction amount. On the other hand, a press bonding device includes a bonding recognition device for use in the recognition of positions of the electrodes on the flat panel and the component. The bonding recognition device includes a position displacement amount calculating unit which calculates the position displacement amount based on the recognized position information.