A device for the treatment of obesity includes at least one first and one second band each with closure means for closing the particular band to form a ring. The first band is connected or is connectable with an enveloping part and is placeable about the esophagus, the stomach or a transition region between the esophagus and the stomach. The second band, also connected or connectable with the enveloping part, is placeable about the stomach distally to the first band and spaced apart from it, and the region of the stomach located between the first and the second band is envelopable by the enveloping part.