In a flip chip bonding method, polymer bumps are formed, using a bonding tool, on an IC chip, held via suction to the bonding tool. An insulating adhesive film is pressed onto the upper surface of a circuit board held via suction with a suction stage. Heat is then applied to bring the film into close contact with bond pads of the circuit board. At this point, the bonding tool is moved downward, bonding the polymer bumps to the circuit board electrodes. During the time of this downward movement, bonding of the polymer bumps to the circuit board bond pads can be achieved by piercing the insulating adhesive film with the polymer bumps, and it is found that strong bonding can be achieved with adequate reliability. This method eliminates the need for a process in which through-holes must be pierced in the insulating adhesive film to accommodate the polymer bumps.