A device for supporting a suspended ceiling includes a section that is able to support the suspended ceiling and spacers disposed between the section and the walls of the building. A removable panel is mounted on a section, the panel being able to reduce a space provided between the wall and the section at least at the location of the section bearing the aforementioned panel. At least one of the spacers may simultaneously include means for fixing the spacer to the section and means for fixing the spacer directly to a wall or to a ceiling of the building, in such a way that the spacer may be secured to the wall or the ceiling and the section may not be secured to the wall or the ceiling without a spacer.