A swing lid structure includes a body having a cavity for holding a predetermined part therein and provided with slots extending in a predetermined direction, a swing lid provided with through holes and capable of covering the cavity of the body, and a support shaft passed through the through holes of the swing lid and slidably fitted in the slots of the body. The swing lid can slide on the body as the support shaft moves in the slots and can turn on the support shaft relative to the body. The lid is subjected to a translation and then a rotation. An apparatus comprising such lid is also disclosed.