Abstract: Method and machine for making vials from glass tubing, wherein at least one glass tube (22) with closed bottom is loaded on a rotatable plate (11), having a series of holes circumferentially passing therethrough, and is then grasped by upper pliers (23'), provided on a plane not coincident with the rotatable plate (11), and then grasped by lower pliers (23) also provided on a horizontal plane not coincident with a lower rotatable plate (10), the tube (22) being continuously rotated on its axis by rotating elements of the pliers (23, 23'), and rotated throughout the circumference of the machine by rotation of the suitably controlled rotatable plates (10, 11). In this rotation the tube, as drawn or pulled at suitable intervals by the pliers, is caused to pass in front of a series of burners (17) arranged in suitable number on the entire periphery of the machine, such burners being provided with parabolic arc flames.