The smokeless and dust-free barbecue grill has a furnace barrel, a furnace bar, a furnace hearth and a furnace cavity. The furnace bars in the furnace barrel divide the space inside the barrel into an upper furnace and a lower furnace cavity. The furnace cavity is airtightly connected with an exhaust fan or a suction smoke window. The furnace barrel is installed on a hollow furnace base. There is an exhaust fan in the furnace base. There is a flue on the wall of the furnace base that is connected to the smoke window. During operation, the smoke and dust generated in the furnace are sucked into the furnace cavity, and are discharged from the smoke window or exhaust pipe by an exhaust fan or exhaust fan, thereby avoiding the problems of oil smoke choking and air pollution, and achieving civilized barbecue. The downward-sucking oil fume burns in the furnace to generate heat, saving fuel. The oil fume does not contaminate the food and has a pure taste.