Abstract: A securing system which can optimally be used for securing a container liner around a rim of a container. Such a securing system includes a mounting member which is secured to or integrally formed with the container. An elastic member is held by the mounting member and is stretchable to be extended over the rim of the container, to thereby secure the container liner around the rim of the container. Such a mounting member may be an independent element having a rectangular shape, so that it can easily be mounted on circular containers, and may include a ring portion through which the elastic member is passed.