CO2 laser has been suggested to heat the LiNbO3 for locally thermal fixing photorefractive hologram.Here a heating model is theoretically analysed and the stable temperature fields for demonstration aim are obtained.Based on the analysis of the relation between the fixed space charge field amplitude Esc and the fixing temperature Tf,two parameters,the localization coefficient Ψ and the average space charge field amplitude Eavesc ,are defined to evaluate the fixed local photorefractive hologram by CO2 laser heating the LiNbO3.The same analysis can also be used when boundary conditions and laser beam profile are changed.