A dome-based cyclic inert sealing system for an external floating roof tank includes the external floating roof tank, a dome structure, an inert sealing pipeline, and a gas source servo device; wherein the dome structure is formed by a top portion of a tank wall of the external floating roof tank for sealing; the dome structure together with an internal wall of the external floating roof tank, a floating plate and a sealing device form a gas phase space which is isolated from atmosphere, so as to fill the gas phase space with an inert sealing medium; the inert sealing medium is a gas fire-fighting medium used in a suffocation fire-fighting method; the gas source servo device is connected to the gas phase space through the inert sealing pipeline and communicates through a valve for feedback-controlling states of the inert sealing medium in the gas phase space.