Packaging method in which a film (200) is fed to a vertical forming tube (1), whereby the film is formed into a tubular shape, the ends of the tubular-shaped film are longitudinally sealed to one another by applying pressure on said ends, the product (P) to be packaged is introduced into the forming tube (1) and the film formed downstream of the forming tube (1) is transversely sealed and cut. Furthermore, in the method, the ends of the film are pressed to one another with a force that keeps both ends static, the drop of the product (P) upstream of the transverse seal is stopped or limited, and by maintaining said pressure and said stop or limitation, an airflow (A) is generated inside the forming tube (1). Packaging machine.