A method and apparatus for transporting radiopharmaceuticals. Typically, the apparatus is a two-part assembly, each part having an exterior shell, a radiation shield and a non-porous lining. Additionally, the assembled apparatus has a sealed internal chamber suitable for carrying a syringe or a sharps container containing a syringe. The internal chamber of the radiopharmaceutical pig is lined with a non-porous lining, typically a durable plastic, that prevents contamination of the radiopharmaceutical doses, the radiation shield, or the environment. Additionally, the non-porous lining can be quickly and easily cleaned and sterilized, avoiding the often difficult, to impossible, task of cleaning and sterilizing the radiation shield of the radiopharmaceutical pig. The non-porous lining is surrounded by a radiation shield that is typically comprised of elemental lead. The radiation shield prevents radiation from the radiopharmaceutical from contaminating the user or environment. The radiation shield is surrounded by an exterior shell that absorbs impact and prevents the radiopharmaceutical pig from breaking. Additionally, the exterior shell prevents environmental exposure to the potentially hazardous material of the radiation shield. Generally, a method of transporting a radiopharmaceutical by filling the container with a radiopharmaceutical, inserting the container into the internal chamber of the radiopharmaceutical pig having a non-porous lining, and assembling the radiopharmaceutical pig so the that the container is in the internal chamber and is encapsulated by the radiation shield, is also provided.