A sterile container, in particular for medical use or storage of medical products or articles, includes a tray with an external base surface and a lid with an external top surface. At least one slide support element is attached to the tray or to the lid. The sterile container is stackable with a second sterile container that is identical to the sterile container. The slide support element acts as a spacer and slide rail to prevent direct contact between facing base surfaces and top surfaces when handling or stacking the sterile containers.