Abstract: Numerical calculation of turbulent lifted flame is studies. In this study, mass flow rate, temperature and exact chemical composition of hot products mixed with air sent toward the turbulent flame base are fully determined. The effects of both non-infinitely fast chemistry and partially premixed combustion are taken into account by using the MIL model (Modèle Intermittent Lagrangien) originally introduced by Borghi and Gonzalez with complex chemistry. Here, the model based on a presumed joint PDF (Probability Density Function) shape for both a mixture fraction and a mixing time for production of a reaction. A fully detailed chemistry are construct about the tabulation of ignition delays and introduce in calculation of the mean chemical rate; this allows us to express the higher probability that fluid particles have to burn for large range around stoichiometric composition. Numerical simulation of the turbulent diluted jet flame of methane studied by R. Cabra and his co-workers at Berclays University is satisfactory; the lift of height prediction are successfully compared with experiments and was around 30-40 D.