Abstract: An insulated bottle container or “koozie” with a top or stopper that remains with or is attached to the container to prevent the top or stopper from being lost or misplaced. The top or stopper may be integrated with the koozie, such as at the end of a flap extending from the of the koozie, or may be removably attached by means of a strap, chain, string or cord that can be affixed or fastened to the koozie. The top or stopper has a friction fit with a plurality of flanges or ribs along the sides of the insertion element to resist accidental removal. The exterior element of the top may comprise a ridged or patterned element to assist with removing and inserting the top.