A system for the hypothermic (2-8° C.) transport of biological samples, such as tissues, organs, or body fluids. The system includes a first transport container to suspend the sample in preservation fluid and provides an ability to monitor the temperature of the sample. The first transport container, holding the sample, is placed in an insulated second transport container having a cooling medium. When assembled, the system allows for transport of biological samples for extended periods of time at a stable temperature.