Abstract: A beverage container lid is disclosed and taught whereby the brim of the lid is provided a multiplicity of small inwardly directed, radial protuberances projecting inward from the lid's outer peripheral brim which snap-in place under the cup's beaded rim thereby securing the lid to the cup's rim. In addition the circumferential array of small protuberances is interrupted by one or more, preferably three, inwardly projecting, circumferentially elongated oblong protuberances which engage the under surface of the cup's circumferential beaded rim. A second embodiment the beaded rim of the beverage cup is also taught wherein circumferentially spaced depressions, or recesses, corresponding to the oblong protuberances of the lid are provided. When the lid is applied to the cup, the oblong protuberances are indexed so as to pass over the rim depressions.