Abstract: A surgical stapling instrument for stapling a tubular tissue structure having at least one distal end to a luminal structure, such as a vascular lumen or another tubular tissue structure. The instrument comprises a rod having a circumference sufficient to pass within the tubular tissue structure, an anvil mounted on the rod, and a generally tubular staple cartridge for containing a plurality of staples. The anvil has an array of staple deforming mechanism thereon and is of a size sufficient to pass through a surgically formed opening in and to be accommodated within the luminal structure. The inner passage of the staple cartridge is sufficient to axially accommodate the tubular tissue structure between the rod and the inner surface of the staple cartridge, and sufficient to allow the staple cartridge to be moved axially along the rod.