Gibbs free energy was applied to analyze the carbothermal reduction process of TiO 2 . The phase stable diagram of Ti-C-CO was drawn, and it can be found that TiO 2 will be reduced to Ti-O Magnéli phase, Ti n O 2n-1 (3 \ n \ 10) or Ti 3 O 5 first and then further reduced to TiC. However, in the present study, it was found that Ti 4 O 7 can be reduced to TiC directly when the temperature was lower than 800 K and lg(p co /p h ) \ -1.1. The reduction route was proved by the results of non-isothermal TG-DTA combined XRD. The isothermal analysis of carbothermal reduction process of TiO 2 via TG-DTA under the temperature of 1363, 1413, 1463 and 1513 K was performed. The whole reduction process was divided into two sections: Initially it was rate controlled by an interfacial reaction, and later was rate controlled by three-dimensional diffusion. The modified mathematical expressions were deduced. They fit the experimental curves well. Their activation energy of steps was 241.1 and 323.4 kJ mol -1 , respectively. A Pre-exponential factor C p Isobaric heat capacity (J K -1 ) E a Activation energy (J mol -1 ) G Gibbs free energy (J mol -1 ) D r G Gibbs free energy of the reaction (J mol -1 ) G h T Standard Gibbs free energy of a pure substance at temperature T (J mol -1 ) G h i;T Standard Gibbs free energy of i component at T temperature (J mol -1 ) H Enthalpy (J mol -1 ) H h 298