Abstract: Disclosed is a hot-pressing apparatus capable of quenching a workpiece at a sufficient cooling rate. The hot-pressing apparatus performs a hot-press forming of a workpiece using a lower die and an upper die, in which a cooling channel and a cooling channel, and a plurality of gas-introduction paths and a plurality of gas-introduction paths through which heat-conducting gas flows are provided in the lower die and the upper die. The plurality of gas-introduction paths penetrate through the dies. The hot-press forming is performed while the heat-conducting gas is supplied to the areas between the dies and the workpiece from the plurality of gas-introduction paths opening on the forming surfaces of the dies.