The liquefied natural gas (LNG) is one of energies for modern carriers, but the usage of LNG has certain risks. Therefore, the thermal stress of LNG carriers’ tanks is analyzed in order to ensure the safety of ships. The temperature field and the thermal stress distribution of ships full of goods are calculated by the finite element method. The results show that the local inhomogeneous temperature field is produced in ships’ tanks under the huge temperature difference.When invar membrane wall of the main screen damaged, the temperature distribution of tank cannot meet the requirements of LNG evaporation rate less than 0.15%.