A substrate drying method includes a sublimation-agent-liquid-film placing step of placing a liquid film of a liquid sublimation agent on the front surface of the substrate, a high vapor-pressure liquid supply step of supplying a high vapor-pressure liquid that has vapor pressure higher than the sublimation agent and that does not include water to a rear surface that is a surface on a side opposite to the front surface in the substrate, a vaporizing/cooling step of, after the liquid film of the sublimation agent is placed on the front surface of the substrate, stopping supplying the high vapor-pressure liquid, and, as a result, losing vaporization heat in response to vaporization of the high vapor-pressure liquid, and, as a result, cooling the sublimation agent, and, as a result, solidifying the liquid film of the sublimation agent and a sublimating step of sublimating a sublimation-agent film.