An apparatus and method adapted to automatically load and unload biological material test tubes into and from a capsule suitable for handling in a pneumatic mail system, the test tubes being supported by a test tube container which may be removably accommodated in the capsule, wherein the apparatus includes a loading and unloading interface, a receiving/dispatching station for conveying capsules to/from various biological material collection departments and a receiving/dispatching station for conveying capsules to/from biological material testing departments, and devices adapted to handle arriving test tube containers and test tubes to be dispatched to a bench, including a loading area and an unloading area for test tubes and test tube containers, arriving material identifying and checking devices and orienting devices for test tube containers, including a control unit adapted to coordinate the devices during the loading and unloading operations.