The kinetics of N2O decomposition on Cu-ZSM5 catalyst has been modelled to explain the spontaneous isothermal oscillations observed in a fixed-bed laboratory reactor. The kinetic model is based on a redox reaction mechanism. The kinetic parameters have been first evaluated by best fitting of the conversion degrees of N2O and then adjusted by a trial-and-error procedure. The oscillations have been simulated by assuming that the solid-solid reaction step of the mechanism has an activation energy proportional to the catalyst reduction degree. The kinetic model is able to predict periodic changes of the state of oxidation of copper in Cu-ZSM5 resulting from the interaction with N2O. Satisfactory results have been reached in the comparison between experimental and theoretical results, as the same order of magnitude of the amplitude and period of the oscillations is obtained. Moreover, a theoretical wave shape similar to the experimental one has been obtained.