A glove box assembly for a dashboard of a motor vehicle has two glove box compartments adjacent to one another and associated with respective doors movable between an open position and a closed position; the glove box assembly has two retaining devices each associated with a relative door and releasable by manually operating respective control elements, which are both borne on one of the two doors; to open the other door, a transmission transmits the release command when the first door is in the closed position.