Abstract: Film condensation widely exists in the compact containment and the pressurizer of nuclear power plant. At present, the difference of Reynolds correlations of the mass relation and the energy relation is not distinguished in the turbulent flow of film condensation. For outer tube natural-convection film condensation of pure steam, the effect of Reynolds correlations on the characteristic of film condensation in the turbulent flow was quantitatively studied. Based on the general assumption of the modified term in turbulent flow of film condensation, the general form of heat transfer coefficient was deduced. In addition, by solving a set of simultaneous equations of the heat transfer coefficients and Reynolds correlations of Re_mass and Re_energy, the general relations of Reynolds correlation and the corresponding heat transfer coefficients were obtained respectively. It is indicated that in turbulent flow region, Re_mass and Re_energy are quite different. Their relation is greatly influenced by the Prandtl number, and the demarcation point of Prandtl number is presented. The corresponding average heat transfer coefficients and their relative deviations are the non-linear function of Reynolds number (Re) and Prandtl number (Pr). When 0.1<Pr<4.0 and Re>1600, the value of the relative deviation for the average heat transfer coefficients is generally within -60% to +60%. By validating experimentally and theoretically, Re_energy leads to more accurate calculations in turbulent flow region.