A method of flip-chip mounting can reliably and stably mount a semiconductor chip to a mounting substrate while avoiding problems such as damage to the semiconductor chip due to a difference in thermal expansion coefficients between the semiconductor chip and the mounting substrate. The method of flip-chip mounting a semiconductor chip supports a mounting substrate on a stage in a state where a resin material has been supplied onto a chip mounting surface of the mounting substrate and presses the semiconductor chip toward the mounting substrate using a pressure/heat applying head to bond the semiconductor chip to the mounting substrate and thermally harden the resin material. A concave part is provided in a support surface of the stage that supports the semiconductor chip, and the semiconductor chip is bonded to the mounting substrate by pressing the semiconductor chip toward the mounting substrate using the pressure/heat applying head in a state where the mounting substrate is bent toward the concave part.