A covering device comprises a 1st cover which has a plurality of 1st slats interconnected in an articulated manner and a 2nd cover which has a plurality of 2nd slats interconnected in an articulated manner. The covers can each be adjusted between a rest position and a covering position, said covers facing each other with slat end faces when in the covering position. At least one of the 1st slats comprises a 1st engagement part on its end face facing the 2nd slats and at least one of the 2nd slats comprises a 2nd engagement part on its end face facing the 1st slats, said 1st engagement part being able to be brought to engage with the 2nd engagement part such that the first cover is connected to the 2nd cover.