The invention discloses a low-NOx fuel gas burner with an air guide sleeve. The low-NOx fuel gas burner mainly comprises the air guide sleeve, air nozzles, a base plate of the air nozzles, a center main fuel gas gun, a set of auxiliary fuel gas guns, an annular fuel gas steam pocket pipe, an incandescent light, a connecting hose, an air adjusting mechanism, a fuel gas adjusting ball valve and the like. The air guide sleeve is arranged on the upper portion of a burner cylinder body and connected with the burner cylinder body. The base plate of the air nozzles is arranged below the center main fuel gas gun, and the air nozzles are uniformly distributed on the base plate of the air nozzles. The annular fuel gas steam pocket pipe is arranged on the periphery of the burner main body in a surrounding mode, and the center main fuel gas gun and the set of auxiliary fuel gas guns are arranged on the annular fuel gas steam pocket pipe. The Venturi effect is fully utilized to enable fuel gas and air to be burned in a staged mode; a main and auxiliary fuel gas proportional adjusting mechanism is arranged to enable the air and the fuel gas to be mixed uniformly, and flue gas automatic circulating inside a furnace is strengthened, so that the temperature in the furnace is uniformly distributed, local high temperature is avoided, and NOx generating of an outlet of the furnace is reduced.