The swirling burner comprises a vertical combustion chamber and an annular blast member located beneath the combustion chamber and provided with a central cylindrical space and a plurality of alternately superposed fuel gas passages and air passages. These passages are communicated with the cylindrical space through blow openings which are inclined in the same direction with respect to the radii of the cylindrical space. In a modification, the burner is further combined with straight blowing type burner for promoting the effect of the air-gas mixing.