An apparatus for suturing fascial tissue for deep puncture wounds utilizes a flexible membrane inserted into a body cavity through a trocar sheath positioned in a wound. A suture to be applied to the wound has anchors attached to each of its ends. A pair of suture-carrying needles each carry an end of the suture and its corresponding anchor. The suture-carrying needles are passed through the fascial layer surrounding the wound and are subsequently passed through the flexible membrane. The suture ends and corresponding anchor means are released from the needles. A lifting force is applied to the flexible member via a cord or shaft which extends out of the wound. The anchors are engaged by the flexible membrane as it is withdrawn out of the wound, pulling the ends of the suture out of the wound to close the opening in the fascial tissue.