Steel sheets for hot stamping accommodated in a far-infrared radiation multi-stage type heating furnace are stably supported over a long period of time using steel sheet support members having a small projected area and inhibited from thermally deforming. The far-infrared radiation multi-stage type heating furnace includes: heating units and a ceiling unit arranged in a vertical direction with multiple stages to accommodate aluminum-coated steel sheets or zinc- coated steel sheets for hot stamping; and far-infrared radiation heaters disposed within the heating units and the ceiling unit to heat the steel sheets for hot stamping to a temperature ranging from the Ac3 transformation temperature to 950° C. Steel sheet support members are mounted to the heating units to support the steel sheets for hot stamping by point contact or line contact with the steel sheets for hot stamping.