The invention relates to a covering device for a container (1), with an edge (2), in particular, a drinks tin, a yogurt pot, a glass or similar. Said device comprises a lid (4), which may be pivoted around a pivoting axis (3) and a mounting (5), for fixing to the container. A secure fixing to any form of container (1) with an edge (2) may be achieved, whereby the covering device is arranged such that the mounting (5) comprises a clamp piece (6) and a counter support (7), which cooperates with the clamp piece (6), such that the edge (2) may be pressed against the counter support, by means of the clamp piece (6).