To realistically predict the flame structure and combustion processes of oxy-fuel flames, the present study employs the conservation CMC model runy coupled with flow solver. The detailed chemistry is utilized to accurately account for thermal dissociations and nonequilibrium effects in the high-temperature combustion, :is well as to property include the convective and radiative effects oil local flame structure. Numerical results indicate that the present approach is reasonably well capable of capturing the essential features and precise structure of oxy-fuel flames. On the basis of the predicted unconditional and conditional means, detailed discussions of oxy-fuel. flame characteristics, as well as the capabilities and defects of the present approach, are given, along with the uncertainties of the experimental data.