Abstract: There is provided a new and useful game apparatus comprising a container and a lid therefor, the container having therein a shaker section and a shelf section; the shelf section substantially isolated from the shaker section when the lid is in position on the container and having a bottom which is spaced a predetermined distance from the top of the container such that, when the lid is in place, a die lying on the shelf is restrained against movement when the apparatus is shaken. In one embodiment the apparatus includes an integral illumination system for illuminating the interior of the container. In another embodiment the lid is hingedly connected to the container and includes a pair of protruding webs extending downwardly from the lid adjacent the hinged connection, the webs extending into the container when the lid is in the closed position, and blocking a lateral line of vision into the container when the lid is in the open position.