A knotless suture fastener installation system for securing medical devices such as cardiac implants. The knotless suture fasteners may be spring-biased so as to grip onto sutures passed therethrough. The system includes a fastener deployment tool with a proximal handle and a distal shaft to which a fastener cartridge attaches. A plurality of disposable cartridges are sequentially attached to the end of the deployment tool and used to secure the medical implant one fastener at a time. The deployment tool may also cut the sutures being fastened.