The article studies the process of sorption of molybdenum ions on anion exchangers obtained based on thiourea, epichlorohydrin, and various amines. The regularities of ion exchange and the main properties of the tested anionites are given, the influence of the pH of the medium and interfering ions in the process of sorption of molybdenum ions is studied. The kinetic curves of the sorption process, the values of the diffusion coefficients for the initial periods of molybdenum sorption are given. Based on the kinetic data, the optimal parameters of the sorption process were determined.