Abstract: The sequential method is first time used for the kinetic study of oxidation of sulfur dioxide on vanadium catalyst. Data have been taken under simulating industrial conditions. With preliminary experimental data, the parameters of candidate models are estimated by nonlinear leastsquare regression. The discriminations among the eleven rival models are based upon sixteen experimental data with proposed criteria. After only one designed sequential procedure, the adequate model is found. Finally, with minimum volume design criterion, sequential procedure is also used for precise estimation of parameters. The following non-first-order hyperbolic intrinsic kinetic equation is suggested: