The Travertine is a rock widely used in the world as an ornamental rock, but their analogous petrological and mechanical properties to carbonate rocks of reservoir influenced his choice to be able to understand the geomechanical behavior of these formations. Thus, this study sought to analyze the geomechanical behavior of Roman Travertine through an experimental program that included a characterization of petrology, the porous structure and mechanical behavior of the rock. Sedimentary structure and texture, chemical, mineralogical composition and physical indexes was determined. Moreover, Its complex porous structure was characterized by analysis of 2D and 3D images generated in the optical microscope and X-Ray micro CT-scanner, with the determination of the presence of macro and micro pores, randomly distributed in the rock with a low connectivity, so it was also established a relationship between the porosity and strength. Also analyzed the test results of mechanical strength, both to the state of uniaxial to triaxial stress showed a decrease in resistance with increasing porosity, with a brittle behavior in most cases.