A child-resistant closure and container package includes a container having an open end surrounded by a cylindrical wall with a central axis, a plurality of circumferentially spaced projections extending radially outwardly from an outer surface of the wall adjacent to the open end, notches on undersides of the projections, and a plurality of circumferentially spaced flexible resilient spring elements extending radially outwardly from the outer surface of the cylindrical wall and angularly disposed between the projections. A closure includes a base wall, a cylindrical skirt extending from the base wall to an axial edge spaced from the base wall, a plurality of circumferentially spaced lugs extending radially inwardly from the skirt, and a circumferentially continuous annular wall extending axially from the base wall coaxially with and spaced radially inwardly from the skirt. The axial edge of the skirt is adapted for axial edge abutment with the spring elements on the container to urge the lugs axially into the notches, with the annular wall being in internal plug-sealing engagement with the open end of the container. Removal of the closure requires axial movement of the closure against the spring elements and rotation of the closure to move the lugs out of the notches and clear the projections.