A device for producing anastomoses between first and second hollow organs, each having inner and outer surfaces. The device comprises a sleeve with an electrode arrangement, over which the first hollow organ is placed such that its inner surface comes to lie on an outermost surface of the sleeve, and an outer electrode arrangement, which can be brought into electrical contact with the opposing electrode arrangement carrying the second hollow organ, which is pushed over the first hollow organ. The outer electrode arrangement comprises a plurality of lamellae, configured and arranged such that, in a closed state, the lamellae form a through aperture and the inner edges of the lamellae lie against the second hollow organ and, in an open state, a gap is formed between the lamellae through which the hollow organs connected to one another can be guided outwardly out of the through aperture.