Disclosed is a case for the sterilization and conservation of thermolabile endoscopes for use, in cooperation with an automatic machine, for washing and sterilizing one of the endoscopes including multiple channels. The case includes: first and second shells; a reversible fastener between the first and second shells; connectors for the channels of the endoscope, allowing injection of process liquids and/or gas into the channels; an inlet connector and an outlet connector, allowing injection and discharge of process liquids and/or gas into and out of the case; a handle and supporting feet. The first and second shells reproduce in the plan view a shape with a substantially circular overlapping edge. The surface of the first and second shells includes a convex portion near the edge and a concave portion in the central zone, where the portions are connected to one another with a curved profile, free of corners.