The title reaction was carried out in a new type of semibatch reactor, where iodine or both iodine and chlorine dioxide are fed to the stirred bulk of the reactor through thin and selective silicon rubber membranes. For model calculations the iodine inflow rate and the pseudo-first-order rate constant of the iodide production from iodine were determined experimentally. All other reactions and rate constants were taken from the literature. The period and the duration of the experimentally found and theoretically predicted oscillations agree rather well. An exact electrochemical interpretation of the amplitude of the electrode potential oscillations requires further research.