Ion-exchange interaction of the monolayer aqueous dispersion obtained by hydration of crystalline LiMoS2 with Li, Na, K salts and alkylammonium halides is studied. Intercalation compounds of MoS2 with hydrated inorganic cations as well as hitherto unattainable intercalation compounds of MoS2 with alkylammonium cations are shown to be formed under these conditions. The composition and structure of these compounds are investigated.