A kinetic model that covers the key reactions for alkylation catalyzed by zeolites is presented. It represents a system of ordinary first-order differential equations and forms the basis of successive construction of a computer modelling system. During investigation of the alkylation of isobutane by olefins a scheme was compiled for the conversion of hydrocarbons, and differential equations describing the rates of the chemical reactions involved in the alkylation of isobutane by olefins were formulated. The kinematic parameters of the reactions were determined by seeking the reaction rate constants in a solution of the reverse kinematic problem. The initial data for solving the inverse kinetic problem are also the technological mode of operation of the pilot plant and the composition of the products of the alkylation process. A set of differential equations was formulated in order to solve the computer model under the initial conditions of the alkylation process for the overall chemical reactions of each group of substances without taking account of some of the intermediate reactions. The system of differential equations was solved by the Euler method with the subsequent production of a better set of reaction rate constants for each record in the experimental data.