Disclosed is a process for the treatment or processing of containers that serve for storing, or contain, substances for medical, pharmaceutical or cosmetic applications, wherein the containers are conveyed automatically, by a conveyor, past at least one processing station or pass it for the treatment or processing. In the process, a plurality of containers is conveyed by the conveyor while being held by a carrier in a regular arrangement. The containers held on the carrier are raised to a raised position for the treatment or processing at or in the respective processing station and are lowered after the treatment or processing, to be held again on the carrier in the regular arrangement. The carrier is configured such that the containers can be held on the carrier during the entire process. A negative pressure acts on the bottoms of the containers in order to lower them.