Abstract: A method of winding continuously supplied material onto several core tubes, especially on printing presses, has a double backing-roller winder that has two backing rollers and a bed wherein the material is wound into a reel while resting on a tensioning roller. The material (11) is initially wound on a core tube (7) that rests against the two backing rollers (3 and 4) in the double backing-roller winder until the reel is heavy enough to weigh down against the supporting roller (21) in a Pope winder (2). A pivoting mechanism (23) lifts the reel off the bed (14) of the double backing-roller winder, over the second backing roller (4), and against the supporting roller in the Pope winder. The reel is then wound in that position until it attains its prescribed final diameter.