The objective of this work was to develop a fractal-like kinetic model for describing hydrogen peroxide oxidation of phenol over Cu/ZSM-5 catalyst of different fractal forms caused by thermal treatment of the catalysts. Pseudo-first-order generalizations of the apparent kinetic rate (Kopelman fractal-like, Brouers-Sotolongo fractal-fractional, Weibull, and stretched exponential models) allowed the kinetics of reaction to be described. These suggested mathematical models of the phenol oxidation plausibly depict the experimental data and correctly reproduce the oxidation process. Fractality of the catalysts exerts a pronounced effect on catalyst activity, as well as on the apparent kinetics of the process. The maximum ability toward phenol oxidation has been detected for the Cu/ZSM-5 catalyst with more fractality.