Abstract: To investigate the methods of accelerating the computation of chemical kinetics in turbulent combustion, the application of Dynamic Adaptive Chemistry (DAC) and exponential integrator with Krylov subspace approximation is discussed. In the large eddy simulation of a turbulent flame, using DAC can accelerate the computation of chemical kinetics. However, in the context of parallel combustion simulation, the loads on the different processors are extremely imbalanced, which limits its performance. For the exponential integrator with Krylov subspace approximation, the acceleration effect acts on each processor, which is beneficial to improve the global computational efficiency. Compared to that of the implicit scheme coupled with DAC and MTS, the accelerating performance of the exponential integrator with Krylov subspace approxi-mation under the same level of accuracy is more obvious.