The invention discloses a tangential jet premixing type sulfur recovery burner. The combustion is carried out through a tangential mixed air and an acidic gas rotating jet flow containing hydrogen sulfide, and a sulfur simple substance is generated and recycled. The ignition gun extends from the center of the methane pipeline to be ignited, the methane is ignited from a spray hole to reach a contraction opening of the combustor, and the methane is mixed with the incoming air for combustion. When the methane is combusted and released heat, the temperature of the combustion area rises to a specified temperature, the acid gas is added, and the methane supply is stopped gradually. At the moment, the acid gas is tangentially sprayed into the mixing chamber through a nozzle, and is fully premixed with air in an inlet in the mixing chamber, and is combusted in the contraction opening and a hearth outside the contraction opening. The air inlet is located in the outer side of the acid gas inlet, and the jet flow of the air inlet is closer to the outer wall of a premixing channel. The air jet flow and the acid gas jet flow form a tangential circle flow mixing mode of the air-wrapped acid gasin the premixing channel, and the uniformity of the circumferential direction of the air flow is guaranteed. The main process of the combustion is that the acid gas rotating jet flow is premixed under the wrapping of the outer-layer air rotating jet flow, is combusted in the hearth outside the contraction opening and the contraction opening of the combustor.