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The goal of this study is to create a thermochemical mathematical model that describes the cycle of a CNG-fueled spark ignition engine. The description of the combustion process is a critical topic in mathematical modeling of internal combustion engine cycles. Non-equilibrium chemical kinetics can be used to properly characterize the combustion of simple hydrocarbons. The reaction system shown consists of 54 chemical reactions spread across 18 components (O2, H2, OH, H, H2O, HO2, CO2, CO, O, CH4, CH3, CH2O, CHO, N2, N, NO, N2O, NO2). The thermochemical model of combustion allows us to determine the composition of the in-cylinder burning gases throughout the cycle. As a result, we can determine the composition of exhaust gases. The overall issue entails solving a set of twenty differential equations for each of two combustion zones. There are solved concentration and temperature evolutions for all gas components. Numerous algebraic equations and boundary conditions round out the model. The Runge-Kutta method was used to solve the problem numerically in the MATLAB environment. By comparing simulation findings to experimental observations, the simulation results were confirmed. [ABSTRACT FROM AUTHOR]