A Method for manufacturing a sealed wrapping of a bundle of cigarettes, including the steps of: providing a bundle of cigarettes forming a bottom wall formed by the tips of the cigarettes, two major lateral walls and two minor lateral walls formed by the cylindrical lateral walls of the cigarettes; providing a rectangular wrapping sheet having a weakening line in order to create an access to the bundle of cigarettes; providing a rigid pocket suitable to fit the bundle of cigarettes therein, said rigid pocket having a longitudinal extension along a longitudinal axis, and including two opposite minor walls and two opposite major walls, a first opening and a second opening which open to opposite ends; introducing a stiffening element inside said rigid pocket through one of said openings (21, 22); introducing the bundle of cigarettes inside said rigid pocket through one of said openings (22, 21) with the stiffening element surrounding the bundle of cigarettes; folding in a U shape the wrapping sheet outside the rigid pocket in order to define two parallel flaps (11a, 11b), the weakening line coming to be in the U-folded area, which occludes the first opening; extracting the bundle of cigarettes with the stiffening element from the rigid pocket by means of an extractor acting on the bundle of cigarettes and on the stiffening element moving from one of said openings (22, 21) towards the other opening (21, 22), in order to obtain the bundle of cigarettes surrounded by the stiffening element and the wrapping sheet without the rigid pocket being interposed therebetween; holding a first of the two flaps laid on the major wall of the bundle of cigarettes, in order to perpendicularly protrude from the bottom wall of the bundle of cigarettes without said first flap being folded back on the bottom wall of the bundle of cigarettes; folding back a second of the two flaps against the whole bottom wall of the bundle of cigarettes until reaching the transversal edge between the bottom wall and the major wall of the bundle of cigarettes on which the first flap is laid, in order to bring the second flap coincident with the first flap along said transversal edge and to form a transversal fin; performing a first sealing step by soldering said transversal fin, while said transversal fin is arranged along the transversal edge and perpendicular to the bottom wall of the bundle of cigarettes, in order to create a tubular wrapping being open on two opposite sides; performing a final sealing step, wherein the tubular wrapping is sealed on the open sides, in order to obtain a complete sealing of the wrapping containing the bundle of cigarettes with the stiffening element inside it. providing a bundle of cigarettes forming a bottom wall formed by the tips of the cigarettes, two major lateral walls and two minor lateral walls formed by the cylindrical lateral walls of the cigarettes; providing a rectangular wrapping sheet having a weakening line in order to create an access to the bundle of cigarettes; providing a rigid pocket suitable to fit the bundle of cigarettes therein, said rigid pocket having a longitudinal extension along a longitudinal axis, and including two opposite minor walls and two opposite major walls, a first opening and a second opening which open to opposite ends; introducing a stiffening element inside said rigid pocket through one of said openings (21, 22); introducing the bundle of cigarettes inside said rigid pocket through one of said openings (22, 21) with the stiffening element surrounding the bundle of cigarettes; folding in a U shape the wrapping sheet outside the rigid pocket in order to define two parallel flaps (11a, 11b), the weakening line coming to be in the U-folded area, which occludes the first opening; extracting the bundle of cigarettes with the stiffening element from the rigid pocket by means of an extractor acting on the bundle of cigarettes and on the stiffening element moving from one of said openings (22, 21) towards the other opening (21, 22), in order to obtain the bundle of cigarettes surrounded by the stiffening element and the wrapping sheet without the rigid pocket being interposed therebetween; holding a first of the two flaps laid on the major wall of the bundle of cigarettes, in order to perpendicularly protrude from the bottom wall of the bundle of cigarettes without said first flap being folded back on the bottom wall of the bundle of cigarettes; folding back a second of the two flaps against the whole bottom wall of the bundle of cigarettes until reaching the transversal edge between the bottom wall and the major wall of the bundle of cigarettes on which the first flap is laid, in order to bring the second flap coincident with the first flap along said transversal edge and to form a transversal fin; performing a first sealing step by soldering said transversal fin, while said transversal fin is arranged along the transversal edge and perpendicular to the bottom wall of the bundle of cigarettes, in order to create a tubular wrapping being open on two opposite sides; performing a final sealing step, wherein the tubular wrapping is sealed on the open sides, in order to obtain a complete sealing of the wrapping containing the bundle of cigarettes with the stiffening element inside it.