For purpose of saving computational effort and alleviating model complexity, a two-step and a three-step simplified reaction models are used in calculations of a laminar, premixed propane flame. A fuel-rich case investigated by Chen, which provided complete inlet and outlet information, is tested using these two chemistry models. Comparisons between prediction and measurement show that either two-step or three-step model can effectively improve the prediction errors introduced by use of one-step reaction model. However, the kernel structure of the rich flame is very complicated. The two-step and three-step models do not include the reations representing the formation of intermediate hydrocarbons in pyrolysis process, such as C2H6, C2H4, CH4, H2, et. al. Another better, complete chemistry model for propane-air combustion remains to be searched.