The fascia clip is of two-piece construction having an elongated base and a flexible strap. The base is sized to bridge over an incision in fascia tissue and has openings at opposite ends. The strap has a pointed distal end for passage through the opening at the proximal end of the base so as to pierce through the fascia tissue. After being directed under the incision, the strap can again pierce the tissue to pass through the opening at the distal end of the base in order to be gripped therein. The strap has an enlarged head at the proximal end to prevent complete passage through the opening at the proximal end of the base. In one embodiment, resilient teeth are used at the distal end of the strap to engage with a web about the opening at the distal end of the base. In another embodiment, a resilient tab on the enlarged head of the base engages in an opening in the distal end of the strap.