A suture applying device includes a shaft which carries a pair of needles near its distal end. The needles are joined by a length of suture, and the shaft is used to both introduce the needles into a lumen of a body structure and to draw the needles back through tissue on either side of the puncture site. After the needles have passed through the tissue, they are captured by a needle receiver and drawn outward through the tract, leaving a loop of suture behind to close the puncture site near the body lumen. The suture can then be tied or otherwise secured to close the puncture site.