Abstract: This invention relates to a safe assembly whose outer shape is generally parallelepipedic defined by a width, a height and a depth, one of the dimensions--height and width--being smaller than the depth, this assembly being mounted on a fastening structure. The safe is mounted on the structure by means of a pivot pin which is at right angles to that of the two dimensions which is smaller than the depth, and which is inaccessible from outside the safe, so that, with respect to the structure, this safe is capable of occupying a first position in which, the depth being non-parallel to a reference plane, the inconvenience caused by the bulk of the safe is considerable, and a second position in which the depth extends parallel to said reference plane, the inconvenience caused by the bulk of the safe being reduced. One application of the present invention is the positioning of a safe in the boot of a private car.