Disclosed herein is a single step sterilization wrapping material suitable for use, as an example, in wrapping surgical instruments and supplies for sterilization, transportation and storage. The material includes separate inner and outer wraps which, unlike previous wraps, are joined to one another. Common wrapping techniques involve wrapping items to be sterilized with two separate sheets of wrap. The present invention provides separate wraps which can be specially engineered to deliver specific properties for each sheet and then joined to one another so as to permit wrapping and opening in a neat single step process which increases efficiency and saves time and money. In special situations the outer wrap can be engineered with increased strength, the inner wrap with increased barrier properties and the inner and outer wraps can be made visually distinct from one another so that improper wrapping or opening is not a problem.