The combustion process of HCCI engine fueled by primary reference fuels is simulated using the CHEMKIN software, and the results are compared with a combustion experiment of a HCCI engine. The cluthors study the influence of various factors, including fuel composition, compression ratio, equivalence ratio, initial temperature and initial pressure, on HCCI engine fueled with PRF. The results indicate that the ignition delay increases along with the increase of the octane number. The initial temperature, initial pressure, compression ratio, equivalence ratio have significant effects on the ignition timing. The operating range of the combustion on HCCI engine is limited.