A beverage container insulator for accommodating and completely enclosing a beverage container. The insulator has a base element and a cover element, each of which has an interior cavity. The base element and the cover element can be arranged in an assembled state, in which the beverage container is accommodated within the interior cavities, and an interconnected state which couples the base and the cover elements to each other. The cover element includes an insert having an outer diameter that corresponds to an inner diameter of the base element such that when the insert is inserted into the base element, the base element and insert of the cover engage each other with an interference fit.