The invention discloses an air-shunting self-rotating part premixing dual-fuel low-NOx burner. The air-shunting self-rotating part premixing dual-fuel low-NOx burner comprises a pre-burning chamber which is formed by a pre-burning chamber housing in a surrounding mode and positioned on the periphery of a secondary air sleeve outside the burner, wherein the pre-burning chamber housing is sleeved with a tertiary air sleeve; and tertiary air nozzles are symmetrically formed in the outer edge of the tail end of the pre-burning chamber housing in the circumferential direction of the axis of an outlet of the pre-burning chamber. When the air-shunting self-rotating part premixing dual-fuel low-NOx burner is used as a gas burner, gas sprayed out of a gas premixing nozzle forms rotary jet flow around the axis of a gas sleeve, the rotary jet flow is rapidly mixed with gas combustion air in a gas premixing channel, and the NOx generation amount is effectively reduced. When the air-shunting self-rotating part premixing dual-fuel low-NOx burner is used as a pulverized coal burner, a primary air-powder mixture rapidly releases volatile matter in the pre-burning chamber, the tertiary air nozzlesformed in the outer edge of the tail end of the pre-burning chamber housing enable tertiary air to form high-speed jet flow, the rotary jet flow is formed around the axis of the outlet of the pre-burning chamber, a large amount of high-temperature smoke is entrained from the jet flow boundary to flow back, the gas-powder mixture entering a hearth is burnt under the MILD burning condition, and theNOx generation amount is remarkably reduced.