The invention relates to a method and device for removing H2S through the cyclone of liquid sulfur from a sulfur recovery unit, and provides a method for removing H2S through the cyclone of liquid sulfur from a sulfur recovery unit, which comprises the following steps: (a) performing primary sulfur condensation on process gas in the sulfur recovery unit, performing primary sulfur conversion on the process gas subjected to the primary sulfur condensation, and performing primary cyclone degassing on the obtained liquid sulfur to remove H2S gas carried in the liquid sulfur; (b) performing secondary sulfur condensation on the process gas subjected to the primary sulfur conversion, performing secondary sulfur conversion on the process gas subjected to the secondary sulfur condensation, and performing secondary cyclone degassing on the obtained liquid sulfur to remove H2S gas carried in the liquid sulfur; and (c) performing tertiary sulfur condensation on the process gas subjected to the secondary sulfur conversion, and performing tertiary cyclone degassing on the obtained liquid sulfur to remove H2S gas carried in the liquid sulfur. The invention also provides a device for removing H2S through the cyclone of liquid sulfur from a sulfur recovery unit.