Electrically regenerable desalting apparatus having the desalting compartment packed with ion exchangers produced by utilizing radiation-initiated graft polymerization, in which said ion exchangers are nonwoven fabrics in the form of a fiber assembly and a cation exchanger and an anion exchanger are disposed in a face-to-face relationship, with a porous material being interposed between the two ion exchangers. Having the ability to reject ions from liquids, the apparatus is particularly suited to the production of pure water in the electrical power generating industries (including the nuclear industry), electronic industry and the pharmaceuticals manufacturing industry, as well as to the desalting of thick fluids encountered in food and chemical manufacturing processes.