A method for the sterilization of endoscopes and similar instruments, comprising the following steps of: washing and / or disinfecting or sterilizing an endoscope in a container by one or more washing fluids; dry the endoscope inside the container using one or more drying fluids. The method is characterized by the fact that the pressure inside the container during disinfection or sterilization and / or drying is kept lower than atmospheric pressure and the container is pressurized after drying, at a pressure higher than at atmospheric pressure, before releasing the endoscope.