The immobilized hydrogen as a titanium hydride could be used in a stainless steel vessel for the long-term storage of hydrogen isotopes. The design analysis of a hydrogen isotope transport container with capacity of 0.5 MCi tritium was carried out to confirm the performance of the safety requirement. In order to verify that the radioactive transport container complies with the requirements for the B(U) type container stipulated in the MOST regulation of transport container, thermal analysis were made for normal condition and hypothetical accident conditions during transport. Thermal analysis with the Heating-7 code under conditions of 38 ℃ for 7 days and 800 ℃ for 30 minutes showed that the container complied with the requirement for B(U) type transport container.