The invention discloses a natural circulation high-temperature heat storage type steam supplying and heating device. The device comprises a solid heat storage reactor, a steam-water heat exchanger, awater heating barrel and a plate heat exchanger. The heat storage type steam supplying and heating device is used for converting valley electricity at night into heat energy and storing the heat energy into the solid heat storage reactor, then the heat energy is output through a steam natural circulation system, and therefore the problems that a traditional solid heat storage type heating productis low in heat exchange efficiency, large in noise, high in energy consumption, short in service life and single in mode, potential safety hazards exists, and the like can be solved. The invention further provides an application method for the natural circulation high-temperature heat storage type steam supplying and heating device.