A burner for liquid fuel which is capable of providing a long flame having a large proportion of a luminous flame portion effective for radiation heat transfer. This burner consists of a fuel supply tube (4) having a fuel ejection nozzle (3) at a front end portion thereof, a combustion support gas supply tube (6) provided on the outer side of and coaxially with the fuel supply tube (4) so as to form a combustion support gas passage (5), and an orifice member (7) provided in the portion of the interior of the fuel supply tube (4) which is spaced from the front end portion thereof. Orifices (9) in the orifice member (7) and the fuel ejection nozzle (3) in the fuel supply tube (4) are eccentric with respect to each other.