This work is related to the removal of tritiated water and radioactive iodine from off-gases released during spent nuclear fuel reprocessing. Specifically, it is focused on the adsorption equilibrium of water on reduced silver mordenite (Ag(0)Z), which is the state-of-art solid adsorbent for iodine retention in the off-gas treatment. As the off-gases contain different gas species, including iodine and water, Ag(0)Z would take up iodine and water simultaneously during the adsorption process. Therefore, understanding the adsorption of water on Ag(0)Z is important and necessary for studying the performance of Ag(0)Z in off-gas treatment processes. The isotherms of water (nonradioactive water) on Ag(0)Z were obtained at temperatures of 25, 40, 60, 100, 150, and 200 degrees C with a continuous-flow adsorption system. The data were analyzed using the Heterogeneous Langmuir and generalized statistical thermodynamic adsorption (GSTA) models, and thermodynamic parameters of the isotherms were obtained from both models. Both models were found capable of describing the isotherms. Isotherms of water on the unreduced silver mordenite (AgZ) were also obtained at 25, 40, and 60 degrees C and parametrized by the GSTA model. Through the comparison of the isotherms of Ag(0)Z and AgZ, it was found that Ag(0)Z had a higher water adsorption capacity than AgZ. The comparison of their thermodynamic parameters suggested that the interaction of water molecules with the H+ in Ag(0)Z was stronger than that with the Ag+ in AgZ.