Abstract: In order to get more accuracy results for heat transfer in chemical non-equilibrium hypersonic flow simulations, a new entropy correction function in TVD (total variation diminishing) scheme was presented. By study of characters of the flow in boundary layer, an anisotropy entropy correction function was used in the TVD scheme instead of the isotropy entropy one, the new coefficient in the entropy correction function, which is varied according to the distribution of the pressure in the flow field, was adopted. The numerical test of the chemical non-equilibrium hypersonic flows over sphere verifies the new entropy correction function. The flow field and the surface heat transfer rate were obtained by the numerical simulation. The results show that the new entropy correction function can improve the accuracy of surface heat transfer as well as the flow field in numerical simulations. The new entropy correction function can also improve viscosity resolution near the surface. The surface heat transfer rate, which is calculated by using new entropy correction function, is less sensitive to the size of grid in normal direction near the surface.