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The conditional moment closure (CMC) method with tabulated chemistry is proposed to reduce the computational load for integration of stiff reaction steps in the conventional CMC methods. It is based on the assumption that temperature and all species except CO and CO 2 adjust fast enough so that they can be uniquely determined by the single reaction progress variable given as the sum of CO and CO 2 mass fractions. The CMC equations are solved for the conditional reaction progress variable, Q p v , whereas the other species mass fractions and the reaction rates including that for Q p v are retrieved from lookup tables. A steady homogeneous form of the conditional variance and covariance equations are solved to construct the second-order closure table to be consistent with Steady Laminar Flamelet Model (SLFM)-based first-order closure. Good agreement is shown between the results by integrated and tabulated chemistry in both the first-order and the second-order CMC for Sandia Flames D, E and F. The overall computational time is reduced to about 0.5% of that by the conventional CMC method involving integration of the detailed reaction mechanism for all species and temperature. [ABSTRACT FROM AUTHOR]