A device and method for deploying self-cinching surgical clips. The device accesses at least two layers of tissue or material from only one side of the tissue or material and punctures through the two layers of tissue or material. The various configurations of clips disclosed herein are made of a superelastic material such as Nitinol, and have a constrained and a relaxed state, and no sharp edges or tips so as to reduce tissue irritation following deployment. The clip is disposed within the housing of the delivery device and held in a constrained state by a tube assembly until deployment wherein the clip assumes its relaxed state, where the ends of the clip are brought into close approximation, thereby securing the layers of tissue or material together.