THIS MANUAL AND LOCALIZED WEEDING APPARATUS (1) COMPRISES A HEAT GENERATOR (4) WHICH IS ATTACHED TO A ROD (2). THE HEAT GENERATOR (4) COMPRISES A FAN AND A HEATING RESISTOR PROJECTING A HOT AIR JET (J1) INTO AN INNER VOLUME (V5) OF A BELL (5) PROVIDED WITH A FREE EDGE (551) FOR SUPPORTING THE APPARATUS (1) ON THE GROUND. ACCORDING TO THE INVENTION, THE BELL (5) IS PROVIDED WITH AT LEAST ONE HOLE FOR DISCHARGING AN AIR JET (J2) FROM THE INNER VOLUME (V5) OF THE BELL (5). THE HOLE IS SEPARATED FROM THE FREE EDGE (551) BY A DISTANCE OF MORE THAN 2 CM. (FIG. 1)