A molten salt reactor (MSR) produces large amount of tritium. While the tritium may discharge from the stack, some of the tritium may permeate through the reactor vessel, causing serious effects on mechanical properties and lifetime of the structure materials, and large impact to the environment. In this paper, we give a review on the four methods to control and reduce the permeation of tritium in an MSR, such as increasing the concentration of 7Li, adding Li or Be to the fuel salt, etc. The tritium monitoring, which is fundamental and essential in its control, can reflect the operation status...