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Studying of stress field in the Martian interior is of importance for the seismic exploration of Mars. It’s assumed to place a seismometer on Mars at the end of November 2018 (mission InSight of NASA) to determine the present level of tectonic activity and get information on its deep interior. We perform the stress field analysis in the lithosphere of Mars in order to reveal the areas of maximum shear and extensional stresses as potential marsquakes’ sources.