A method and apparatus is provided for long-term extracorporeal preservation of living tissue. A tissue preservation device including a gas permeable membrane and perfusate allows oxygenation of the living tissue. The gas permeable membrane allows gas from a cyclically pumped source to permeate and expand the membrane, simultaneously oxygenating the perfusate and pumping the oxygen-enriched perfusate through the tissue. Simply constructed of a few basic components, the tissue preservation device is capable of operating in many physical orientations, and requires no electrical power for operation. Also provided is an apparatus for cooling and transporting the tissue preservation device.