Surgical instruments and procedures for performing a circular anastomosis of a tubular organ. The surgical instruments may include selectively deployable tissue acquisition members configured to puncture through a portion of the tubular organ and position the portion of the organ adjacent to a fastener face of a staple cartridge supported in the instrument. At least one cutting member may be radially deployed and rotated to sever the positioned portion of organ from a distal portion of the organ. An anvil may be employed to draw another portion of the organ adjacent to the portion of organ positioned adjacent to the fastener face of the staple cartridge. The staples may then be deployed through the adjacent portions of organ and an annular knife may be advanced through the adjacent organ portions to complete the anastomosis.