In this paper, a hygro-thermo-mechanical model for concrete exposed to fire, based in the mechanics of unsatured porous media of Coussy, is introduced. The model state variables are derived from a energetic potential which leads to thermodynamics consistency. The government equations of the problem are developed, including the balances equations of fluids phases mass of energy and linear momentum. Details of the FEM numerical solution of the proposed model are presented. A validation example for the developed model is presented. In this example an acceptable agreement between the numerical and experimental results is shown. Finally, as an application example the analysis of a concrete column exposed to fire is presented.