The numerical modeling of realistic burner systems puts a very high demand on computational recources.The computational cost of combustion simulations can be reduced by reduction techniques which simplify the chemical kinetics. In this paper the recently introduced Flamelet-Generated Manifold method for premixed combustion systems is applied to laminar flames. In this method the reduced mechanism is created using solutions of one-dimensional flamelet equations as steady-state relations. For a methane/air mixture a manifold is constructed with two controllingvariables: one progress variable and the enthalpy to account for energy losses. This manifold is used for the computation of a 2D burner-stabilized flame andthe results are compared with...