Abstract: A packaging machine (1) comprises a device for the formation of a tube (5) of wrap material into which a succession of products (6) can be inserted; a sealing device (7) being active on said tube (5) to make a succession of seals (23) transverse to the direction of advancement “A” of tube (5) and to define a corresponding succession of pockets (11) for holding the products (6); an air-removing device (13) being active on each pocket (11) in correspondence of a respective aperture (25) to produce a vacuum inside each pocket (11); an additional sealing device (22) operatively located at least in correspondence of the air-removing device (13) for isolating said aperture (25) and hermetically sealing the pocket (11).