A single package (10) includes a flange (13) with a well (16) formed therein for holding a contact lens (20) in solution (22). A flexible cover sheet (18) extends over the flange and is sealed about the perimeter (16a) of the well to seal the lens and solution in the well. The cover sheet may by easily peeled from the flange by a user to access the lens held therein. First and second support (24,26) structures are formed opposite each other and extend generally perpendicularly from the flange. The support structures are configured to stably support the package on a flat surface such as a take. Each support structure includes a major wall (28) and a minor wall (30) lying in generally spaced, parallel planes to each other although the major and minor walls may interconnect or touch along one or more points thereof. A package assembly (50) is also disclosed including a second package configured substantially the same as a first package wherein the first and second packages may be releasably attached to each other with the first and second support structures of each in meshing engagement with each other.