The invention relates to an anastomosis ring and to an anastomosis ring assembly for connecting hollow organs made from human or animal tissue. The anastomosis ring includes a first support ring and a second support ring, which can be coupled with the first support ring for fixating the tissue, so that the support rings are essentially disposed fixated relative to one another. The anastomosis ring is at least partially made form a biofragmentable material which disintegrates after a predetermined time period in a human or animal body. In order to facilitate better tissue connection the anastomosis ring includes at least one energy delivery element connectable with an energy source. The energy delivery element is configured to fuse the tissue at least partially through delivering energy during operations.