It is a matter of a container assembly with at least one stackable container (1) which has a first engaging structure (48) on its top side (19) and a second engaging structure (49) on its underside (18). The engaging structures (48, 49) are so matched to one another that, when two containers (1) are stacked together, they engage in one another in such a way that the containers are secured against shifting relative to one another at right-angles to the stacking direction and at the same time the upper container is prevented from lifting at least in certain areas. The first engaging structure (48) consists of engaging recesses (54) and the second engaging structure (49) of engaging projections (55). Feet (57) provided on the underside (18) of the container (1) are designed as elements of the second engaging structure (49) and are able to engage the first engaging structure (48) from the rear, to prevent lifting of the upper container at least in certain areas.