Dielectric Spectroscopy (DS) is a well-established technique for the electrical characterization of various materials but may also serve to determine changes in their mechanical properties, since the macroscopic structural changes of a material under stress are strongly related to changes in its electrical conductivity or dielectric properties. In the present work, dry marble samples were subjected to various uniaxial loads up to failure and the complex dielectric permittivity İ* was recorded during each load cycle, over a wide frequency range (10-2Hz – 1MHz). The results show a strong dispersion in electrical conductivity spectra, especially at low frequencies. Conductivity values measured at low frequencies (<1Hz) are almost three orders of magnitude larger for samples prior to failure, as compared to the unstressed samples. Dc-conductivity follows an exponential behavior with respect to the relative compressional stress. A frequency dependent relaxation mechanism is observed in the electric modulus representation M* during the application of stress to the sample. The frequency of the observed relaxation peak in the imaginary part of M* and the values of M recorded in the real part of M*, are strongly affected by the applied stress and may be used to provide reliable information about the stress condition of the investigated material.