Abstract: In a container structure including a container and a closure member, the container having adjacent its mouth a rim portion provided with sealing surfaces adapted to cooperate with complementary sealing surfaces on the rim portion of the closure member, the improvement comprising one of the sealing surfaces of the rim portions of the container or the closure member including at least two spaced apart annular beads, each of the beads sealingly engaging the walls of a complementary groove formed in the sealing surface of the other rim portion in at least two separate sealing zones, so that positive sealing is accomplished with minimal inclusion of air between the sealing surfaces.