A device for cleaning teeth, allows the simultaneous cleaning of the teeth of at least one arch. The device includes: a single or a double arc-shaped tray which can enclose the teeth of one arch or both arches at once and which, via the free edge(s) thereof, can be fitted to the corresponding gum or gums, the tray made from a flexible material allows reversible deformation and is compatible with medical use; and fluid-injection/-removal elements for injecting fluid into the tray and removing fluid from the interior thereof. Once the tray is in place on the teeth, the fluid-injection/-removal elements subject them to repeated cycles of fluid injection/removal to clean the teeth by the combined action, within the tray, of fluid circulation over and between the teeth and mechanical action of the tray's internal surface on the teeth, resulting from the deformation of the tray during the injection/removal cycles.