An improved mobile apparatus for sterilizing surgical trays serves as a self-contained autoclave, allowing sterilization of the interior of the apparatus and its contents. A method of sterilization using the apparatus is presented as well. By means of a dedicated transfer and storage system, the apparatus, integrable with respect to a transfer cart and a lift device, may be moved easily between a location of sterilization, a storage area, and an operating room, and more than one such apparatus may be stacked vertically for storage to enhance storage efficiency.