In this paper, the correlation between detonation cell size and ignition delay time is studied. The ignition times of overall one-step detonation models and detailed chemical reaction kinetics are simulated and compared. The results show that different models have quiet different ignition times under the same temperature and pressure and the maximum difference is more than one-order. The detonation cells are simulated by using different detonation models. The results show that the period of a triple-wave point to mark a complete detonation cell is equal to the ignition delay time of the gas in the induction zone. The longer the ignition delay time, the larger the detonation cell size. This result reveals that there is a tight coupling between the flow and the chemical reaction during detonation propagation.