The mathematical modeling of turbulent flames is a difficult task due to the intense coupling between turbulent transport processes and chemical kinetics. The mathematical model presented in this paper is focused on the turbulencechemistry interaction. The method consists of two parts. Chemical kinetics are taken into account a with reduced chemical reaction mechanism, which has been developed using the ILDM-Method ("Intrinsic Low-Dimensional Manifold"). The turbulence-chemistry interaction is described by solving the joint probability density function (JPDF) of velocity and scalars. Simulations of test cases with simple geometries verify the developed model.