Disclosed is a transmural tissue anchor deployment system and method, for attachment to a tissue wall. The method can include the steps of advancing the tubular body through a single, non-plicated tissue wall of the gastrointestinal tract ejecting the tissue attachment structure out of the tubular body such that the retention surface rests against a serosal surface of the tissue wall and withdrawing the tubular body proximally across the tissue wall, wherein the tension element spans the single non-plicated tissue wall after withdrawal of the tubular body.