Effluents containing cyanides are generated in important industrial áreas such as mining-metallurgical, steelmaking, petrochemical, amongst others, carrying potential risks to the environment due to the high toxicity of cyanide. The aim of the present work is to study the kinetics of cyanide degradation with Caro s Acid (H2SO5), a powerful oxidant generated by the reaction between concentrated grades of H2SO4 and H2O2, and to develop a mathematical model involving CN - oxidation and simultaneous self-decomposition of H2SO5. The experiments were conducted in batches using synthetic solutions of free cyanide. The experimental methodology employed involved a 24 factorial design with the four factors: initial [CN-] mg/L, molar rate [H2SO5]:[CN-], pH e type of Caro s acid, with the aim to evaluate the effect of these factors in the process reaction kinetics. The statistical analyses showed that the most affecting variables were initial [CN-] mg/L and [H2SO5]:[CN-] molar ratio. Nevertheless a physicalchemical evaluation showed that also pH and type of Caro s Acid made of 1 or 3 moles of H2SO4 with 1 mole of H2O2, had effect on the kinetics. The highest observed reaction rate was obtained in the following conditions: initial [CN-] = 400 mg/L, molar ratio [H2SO5]/[CN-]= 3:1, pH = 9 and type of Caro s acid = 3 moles H2SO4 to 1 mole H2O2, achieving a value of [CN-] < 0,2 mg/L in t = 10 min.