Sometimes it is difficult to choose the most appropriate failure criterion for the problem analyzed. For brittle materials, attention must be paid to the availability of experimental data and the calibration of the representative parameters, within the chosen failure criterion. The work herein presented, starting with an overview on machromechanical failure criteria, analysed in the Haigh-Westergaard Stress Space, investigates the suitability of Mohr-Coulomb, Drucker-Prager and Concrete Damaged Plasticity failure criteria of masonry structures, underlining their specific characteristics and implementation in FEM simulations. The Pavia Door Wall experimental campaign under pseudo-static cyclic test is considered as benchmark study. The results of the experimental tests are compared with a FE model developed with ABAQUS computer program considering several failure criteria and equivalent frame approach. Among the investigated failure criteria Concrete Damaged Plasticity is able to capture the actual behaviour of the masonry walls under monotonic excitation. In particular, thanks to the adaptability of the Guo’s model in the definition and calibration of the uniaxial behavior, the model suitability in catching the variation of the cohesion and the evolution of the damage is better in comparison with the other addressed failure criteria.