In a method for closing a plurality of medical cartridges (5) a closure nest for supporting a plurality of closures is used, comprising a planar supporting plate having a plurality of receptacles having a plurality of tubular receptacles (61) and retaining structures for reliably accommodating the closures (200). In the method the plurality of medical cartridges (5) is supported in a corresponding cartridge nest. The closure nest is disposed above the cartridge nest so that the receptacles of the closure nest are precisely aligned with the receptacles of the cartridge nest. The closures (200) are then pushed downward out of the, receptacles of the closure nest and into the cartridges (5), while the cartridges are supported by the cartridge nest. The closure nest can be directly fed on existing filling and stoppering machine set-ups for processing sealed prefillable syringe barrels, basically without the necessity of changing the set-up.