An improved gripping member for a weight bearing container. The gripping member is specifically designed to either replace an existing gripping member, or improve a two part handle for a weight bearing container by providing a larger diameter gripping surface. The improved gripping member is formed of two mating halves that can be releasably attached to form a cylindrical gripping surface with a relatively large diameter. When attached about an existing gripping member or wire handle portion of a two part handle the inventive gripping member provides a large diameter gripping surface to distribute the weight of the container about a larger portion of the user's palm.