A tubing terminator is disclosed having two parts that are threaded together to receive and capture an expanded end portion of an elastic tube without exerting a compressive force against the expanded end portion of the tubing. The terminator has a C shaped handle and a threaded cap which together capture the end portion therebetween. A kit for terminating a free end of an elastic tubing resistance member includes a ball sized to be inserted into one end of an elastic tubing resistance member so as to expand the end of the elastic resistance member, a C shaped handle for receiving therein an expanded end of the elastic tubing resistance member, and a tubular cap removably fastenable to the handle to capture and retain the expanded end of the elastic tube in the handle.