Abstract: Thermal conductivity is a leading parameter to describe the thermo-physical properties．The measurement method of the lithium/sulfur dioxide battery is introduced in this paper，with the thermal compensating part，liquid cooling system etc．are added based on the previous measurement．The lithium/sulfur dioxide battery is tested before discharge and after full discharge．The test result shows that the test of the apparatus for thermal conductivity introduced in this paper is reliable and accurate．Compared with the battery before discharge，the thermal conductivity of the battery after full discharge is evidently decreased．