System for cleaning, disinfecting and/or drying endoscopes

During the treatment, in particular cleaning, disinfecting and drying, of used, dirty endoscopes, in order to render them suitable once again for subsequent use, the following steps take place: placing a used, dirty endoscope in a rack, connecting the passages of the endoscope to a connection block which is arranged in a fixed position in the rack, placing the rack, with the endoscope therein, in at least one device for treating the endoscope, the connection block being connected to a counter-connection block which is present in the treatment device, in order to bring about a connection between the endoscopes and the treatment device, subjecting the endoscope which is accommodated in the rack to a specific treatment in the treatment device, taking the rack with the endoscope therein out of the treatment device, and uncoupling the endoscope from the connection block after it has been taken out of the final treatment device. This makes it possible to work in extremely hygienic conditions and minimizes the risk of damage to the endoscope.