The kinetic model of oxidation of sulphur dioxide into the fluidized bed of ideal mixed ingredients was derived. Equations of the kinetic model allow one to calculate the reaction rate constant and the required weight of catalyst for attaining the programed degree of conversion. The experimental data of oxidation of sulphur dioxide into reactors with fluidized beds of catalyst of ferrric oxide and of wear resistant vanadium catalyst at different working conditions, were processed. Corresponding values of reaction rates, reaction rate constants, and activation energy, were calculated. On the basis of developed methods were accomplished kinetic, hydrodinamical and heat transfer calculations of an industrial reactor with four fluidized beds of wear resistant vanadium catalyst for oxidation of sulphur dioxide. It was demonstrated that when carrying out the process into a reactor with fluidized beds the necessary weight of catalyst for manufacture of 1 ton per day of sulphuric acid monohydrate is 4.5-5.1 times less than in a reactor with fixed beds of the same catalyst.