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 turbulence-chemistry interaction. The method consists of two parts. Chemical kinetics are taken into account with a 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.