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The simulation of combustion in the internal combustion engines (ICE) is very important for an accurate prediction of engine performance and pollutant formation. These engines simulation help to gain a better understanding of the coupling between the various physical and chemical processes. The objective of the present paper is to study turbulent combustion in IC engine. A lagrangian eulerian model coupled with presumed pdf is used to study the problems of chemical kinetics (and), while the k-ε model is used for the modeling of the turbulence. We got the reduced mechanism through the reduction of detailed mechanism of the methane (GRI 3.0) combustion by using the Principal Component Analyses (PCAF). It is considered the first point for the application of the Computational Singular Perturbation method (CSP). We used this method (CSP) to reduce the detailed mechanism of the methane that is already reduced by PCAF to a mechanism containing 9-Steps.