This invention relates to a lean premix burner of a gas-turbine engine with an annular central body 2, which, while being essentially concentric to a burner center axis 1, is provided with an annular duct 4 connected to a supply line 3 and with a film applicator 5 which conically widens at the fuel exit side and into whose radially inward area at least one fuel exit opening 6 issues which is connected to the annular duct, characterized in that the film applicator 5 has, adjacently to and downstream of the fuel exit openings 6 in the area facing the fuel exit side 8, a step-like, annular protruding area 7 disposed radially to the burner center axis.