In the lid opening and closing device, the rotating body at the initial position rotates to one side in the rotation direction, so that the lock member is disengaged from the first link. Further, the first link and the rotating body are provided with a differential connecting mechanism, and the differential connecting mechanism connects the rotating body and the first link to operate the link mechanism at the retracted position after the lock member is disengaged from the first link, when the rotating body is rotating. As a result, the differential connecting mechanism imparts a time difference between the two operations of the rotating body. Therefore, the lock member and the link mechanism can be operated by rotationally driving the rotating body by a single actuator.